Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

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156 articles
Proceedings Article

Induced Unbalanced Linguistic Ordered Weighted Average

Lucas Marin, José M. Merigó, Aida Valls, Antonio Moreno, David Isern
Aggregation operators for linguistic variables usually assume a uniform and symmetrical distribution of the linguistic terms that define the variable. This paper defines the Induced Unbalanced Linguistic Ordered Weighted Average (IULOWA). This aggregator takes into account the fuzzy membership functions...
Proceedings Article

On generalizations of weighted means and OWA operators

Bonifacio Llamazares
In this paper we analyze two classes of functions proposed in the literature to simultaneously generalize weighted means and OWA operators: WOWA operators and HWA operators. Since, in some cases, the results provided by these operators may be questionable, we introduce functions that also generalize...
Proceedings Article

The Type-1 OWA Operator and the Centroid of Type-2 Fuzzy Sets

Francisco Chiclana, Shang-Ming Zhou
This paper aims to establish the relationship between two apparent disparate problems: (i) the aggregation of uncertain information modelled by type-1 fuzzy sets via OWA mechanism, and (ii) the computation of the centroid of type-2 fuzzy sets. In order to cut down the computational complexity of the...
Proceedings Article

On another view of aggregation of fuzzy relations

Olga Grigorenko, Julija Lebedinska
The paper is devoted to a concept of aggregation of binary fuzzy relations. Consider two n-ary vectors, when we know the degrees to which corresponding components are in relation we can measure the degree to which vectors are in relation. Tasks with such background justify the necessity of aggregation...
Proceedings Article

On extension of fuzzy measures to aggregation functions

Anna Kolesárová, Andrea Stupnanová, Juliana Beganová
In the paper we study a method extending fuzzy measures on the set N = {1, . . ., n} to n-ary aggregation functions on the interval [0, 1]. The method is based on a fixed suitable n-ary aggregation function and the Möbius transform of the considered fuzzy measure. This approach generalizes the wellknown...
Proceedings Article

The Gini index and the consistent measurement of inequality among the poor

Oihana Aristondo, José Luis García-Lapresta, Casilda Lasso De La Vega, Ricardo Alberto Marques Pereira
In several economic fields, such as those related to health, education or poverty, the individuals' characteristics are measured by bounded variables. Accordingly, these characteristics may be indistinctly represented by achievements or shortfalls. A difficulty arises when inequality needs to be assessed....
Proceedings Article

Functionally Expressible Multidistances

Javier Martín, Gaspar Mayor, Oscar Valero
In this paper we deal with the problem of aggregating pairwise distance values in order to obtain a multi-argument distance function. After introducing the concept of functionally expressible multidistance, several essential types of multidimensional aggregation functions are considered to construct...
Proceedings Article

General aggregation operators acting on the L-fuzzy real line

Pavels Orlovs
The paper is devoted to a general aggregation operator acting on L-fuzzy real numbers. It is defined as a t-norm based extension of an ordinary aggregation operator. The aim of our research is to analyze properties of the general aggregation operator depending on properties of the ordinary aggregation...
Proceedings Article

Axiomatic characterizations of (quasi-) L-statistics and S-statistics and the Producer Assessment Problem

Marek Gagolewski, Przemyslaw Grzegorzewski
Two classes of aggregation functions: L-statistics and S-statistics and their generalizations called quasi-L-statistics and quasi-S-statistics are considered. Some interesting characterizations of these families of operators are given. The aforementioned functions are useful for various applications....
Proceedings Article

Uninorms and nullnorms on the set of discrete fuzzy numbers

Juan Vicente Riera, Joan Torrens
In this paper a method to extend discrete uninorms and nullnorms on the finite chain L = {0, . . . , n}, to uninorms and nullnorms defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L is presented. Some basic properties of discrete uninorms...
Proceedings Article

Biconic aggregation functions with a given diagonal or opposite diagonal section

Tarad Jwaid, Bernard De Baets, Hans De Meyer
A new method to construct aggregation functions is introduced. These aggregation functions are called biconic aggregation functions with a given diagonal (resp. opposite diagonal) section and their construction method is based on linear interpolation on segments connecting the diagonal (resp. opposite...
Proceedings Article

Aggregation operators of general aimed information

Doretta Vivona, Maria Divari
The aim of this paper is to introduce, by axiomatic way, the measure of the general (i.e. without probability) aimed information for crisp sets. We traslate the problem in a system of functional equation and we present a class of solutions; in the case of independence we characterize the solution. Finally,...
Proceedings Article

Restricted dissimilarity functions and penalty functions

Humberto Bustince, Javier Fernandez, Radko Mesiar, Anna Pradera, Gleb Beliakov
In this work we introduce the definition of restricted dissimilarity functions and we link it with some other notions, such as metrics. In particular, we also show how restricted dissimilarity functions can be used to build penalty functions.
Proceedings Article

Aggregation Functionals on Complete Lattices

Marta Cardin
The aim of this paper is to introduce some classes of aggregation functionals when the evaluation scale is a complete lattice. Two different types of aggregation functionals are introduced and investigated. We consider a target-based approach that has been studied in Decision Theory and we focus on...
Proceedings Article

Construction of a Choquet integral and the value functions without any commensurateness assumption in multi-criteria decision making

Christophe Labreuche
We consider a multi-criteria evaluation function U defined over a Cartesian product of attributes. We assume that U is written as the combination of an aggregation function and one value function over each attribute. The aggregation function is assumed to be a Choquet integral w.r.t. an unknown capacity....
Proceedings Article

On Convergence of Fuzzy Integrals over Complete Residuated Lattices

Antonín Dvorak, Michal Holcapek
Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type 1, 1 fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this...
Proceedings Article

Evaluating Consulting Firms Using a Centroid Ranking Approach based Fuzzy MCDM Method

Ta-Chung Chu
The purpose of this paper is to evaluate and select consulting firms by suggesting a centroid ranking approach based fuzzy multiple criteria decision making (MCDM) method, where ratings of alternatives versus qualitative criteria and the different importance weights among criteria are assessed in linguistic...
Proceedings Article

Dealing with inconsistencies in the representation of ordinal information by a 2-additive Choquet integral

Brice Mayag, Michel Grabisch, Christophe Labreuche
We propose an algorithm to solve inconsistencies when the preferences of a decision-maker, given by a strict and an indifference relations on a set of binary actions, are not representable by a 2-additive Choquet integral. According to the characterization of this type of information, these inconsistencies...
Proceedings Article

L-fuzzy valued measure and integral

Vecislavs Ruza, Svetlana Asmuss
We continue to develop a construction of an L-fuzzy valued measure by extending a measure defined on a algebra of crisp sets to an L-fuzzy valued measure defined on a TM-tribe in the case when operations with L-sets and L-fuzzy numbers are defined by using the minimum triangular norm TM. We introduce...
Proceedings Article

Parameter identification in Choquet Integral by the Kullback-Leibler divergence on continuous densities with application to classification fusion

Emmanuel Ramasso, Sylvie Jullien
Classifier fusion is a means to increase accuracy and decision-making of classification systems by designing a set of basis classifiers and then combining their outputs. The combination is made up by non linear functional dependent on fuzzy measures called Choquet integral. It constitues a vast family...
Proceedings Article

Riesz MV-algebras and their logic

Antonio Di Nola, Ioana Leustean
We develop the general theory of RMV-algebras, which are essentially unit intervals in Riesz spaces with strong unit. Since the variety of RMV-algebras is generated by [0, 1], we get an equational characterization of the real product on [0,1] interpreted as scalar multiplication.
Proceedings Article

Fuzzy logics with truth hedges revisited

Francesc Esteva, Lluís Godo, Carles Noguera
In this paper we build upon previous works of Hájek and Vychodil on the axiomatization of truthstressing and depressing hedges as expansions of BL logic by new unary connectives. They show that their logics are chain-complete, but standard completeness is only proved for the expansions over Gödel logic....
Proceedings Article

On the variety of equality algebras

Sándor Jenei, László Kóródi
Equality algebras has recently been introduced. A subclass of equality algebras, called equivalential equality algebras is closely related to BCK-algebras with meet. We show that the variety of equality algebras has nice properties: We shall investigate their congruences and filters and prove that the...
Proceedings Article

On EQ-Fuzzy Logics with Delta Connective

Martin Dyba, Vilém Novák
In this paper, extension of the EQ-logic by the connective is introduced. The former is a new kind of many-valued logic which based on EQ-algebra of truth values, i.e. the algebra in which fuzzy equality is the fundamental operation and implication is derived from it. First, we extend the EQ-algebra...
Proceedings Article

Axiomatic Extensions of Höhle's Monoidal Logic

Esko Turunen
We introduce an axiomatic extension of H¨ohle's Monoidal Logic called Semi­divisible Monoidal Logic, and prove that it is complete by showing that semi­divisibility is preserved in MacNeille completion. Moreover, we introduce Strong semi­ divisible Monoidal Logic and conjecture that a predicate formula...
Proceedings Article

Filters in algebras of fuzzy logics

Martin Víta, Petr Cintula
This paper presents a generalization of many particular results about special types of filters (e.g., (positive) implicative, fantastic) on algebras of nonclassical (mostly fuzzy) logics. Our approach is rooted in the framework of Abstract Algebraic Logic, and is based on the close connection between...
Proceedings Article

Non-deterministic Connectives in Propositional Gödel Logic

Ori Lahav, Arnon Avron
We define the notion of a canonical Gödel system in the framework of single-conclusion hypersequent calculi. A corresponding general (nondeterministic) Gödel valuation semantics is developed, as well as a (non-deterministic) linear intuitionistic Kripke-frames semantics. We show that every canonical...
Proceedings Article

Nilpotent Minimum Fuzzy Description Logics

Brunella Gerla, Massimo Dalla Rovere
We define the fuzzy description logic ALCHNM based on the t-norm of Nilpotent Minimum and we prove its reduction to the crisp description logic ALCH. Hence we prove decidability results for ALCHNM.
Proceedings Article

Fuzzy Type Theory, Descriptions, and Partial Functions

Vilém Novák.
This paper studies the possibility to deal with partial functions in fuzzy type theory. Among various ways how to represent them we chose introduction of a special value "undefined" laying outside the corresponding domain. In FTT, we can quite naturally utilize the description operator by extending...
Proceedings Article

A logic of the similarity with prototypes and its relationship to fuzzy logic

Thomas Vetterlein
Fuzzy sets are widely used to model vague properties. According to a common understanding, a fuzzy set represents the degrees of similarity of precisely specified objects with the prototypes of the considered vague property. We propose a logic based on this idea, using an entailment relation which was...
Proceedings Article

Fuzzy attribute logic with model constraints

Radim Belohlavek, Vilem Vychodil
Presented are preliminary results on ordinary-style and graded-style completeness results for fuzzy attribute logic with models constrained by fuzzy closure operators with hedges.
Proceedings Article

Computation with fuzzy quantities

Mirko Navara
Solving systems of equations (even linear ones) in standard fuzzy arithmetic may be a problem. We suggest an alternative approach which transfers the task to a linear space where the solution may be standard. Fuzzy intervals form a proper subset (in fact, a cone) in this linear space.
Proceedings Article

A new method of generating fuzzy implications from given ones

Sebastià Massanet, Joan Torrens
In this paper, a new construction method of a fuzzy implication from two given ones, called e-generation method, is introduced. This method allows to con- trol, up to a certain level, the increasingness on the second variable of the fuzzy implication through an adequate scaling on that variable of the...
Proceedings Article

R-implications and the Exchange Principle:A Complete Characterization

Balasubramaniam Jayaram, Michal Baczynski, Radko Mesiar
It is well-known that the residual IT of a leftcontinuous t-norm T satisfies the exchange principle (EP), viz., IT (x, IT (y, z)) = IT (y, IT (x, z)) for all x, y, z [0, 1]. However, the left-continuity of T is only sufficient and not necessary, as many examples in the literature illustrate. In this...
Proceedings Article

Dependencies between fuzzy conjunctions and implications

Anna Krol
This paper deals with some dependencies between fuzzy conjunctions and fuzzy implications. More precisely, a fuzzy implication generated from a fuzzy conjunction and a fuzzy conjunction induced by a fuzzy implication is considered. In the case of a fuzzy conjunction only border conditions and monotonicity...
Proceedings Article

Obtaining representable coimplications from aggregation and dual operators

Renata Reiser, Benjamin Bedregal
The aim of this work is to study N-dual structures of representable implications generated from a set M of aggregation functions and pairs of mutual dual functions, founded on the isomorphism between the unit interval and special instances of the Goguen's L-fuzzy sets. We discuss under which conditions...
Proceedings Article

Distributive equation of implications based on continuous triangular norms

Feng Qin, Michal Baczynski, Aifang Xie
In order to avoid combinatorial rule explosion in fuzzy reasoning, in this work we explore the distributive equations of implications. In details, by means of the section of I, we give out the sufficient and necessary conditions of solutions for the distributive equation of implication I(x, T1(y, z))...
Proceedings Article

Probabilistic Implications

Przemyslaw Grzegorzewski
A new family of implication operators, called probabilistic implications, is introduced. The suggested implications are based on conditional copulas and make a bridge between probability theory and fuzzy logic. It is shown that some well-known fuzzy implications appear as a particular probabilistic...
Proceedings Article

Fuzzy implications defined on the set of discrete fuzzy numbers

Juan Vicente Riera, Joan Torrens
Given an implication function I defined on the finite chain L = {0, ..., n}, a method for extending I to the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L (denoted by AL
Proceedings Article

On lattice structure and implications on ordered fuzzy numbers

Magdalena Kacprzak, Witold Kosinski
Ordered fuzzy numbers (OFN) invented by the second author and his two coworkers in 2002 make possible to utilize the fuzzy arithmetic and to construct the Abelian group of fuzzy numbers and then an ordered ring. The definition of OFN uses the extension of the parametric representation of convex fuzzy...
Proceedings Article

A Fuzzy Rule Mining Approach involving Absent Items

Miguel Delgado, Maria Dolores Ruiz, Daniel Sanchez, José Maria Serrano
In this paper we present how to extract fuzzy association rules involving both the presence and the absence of items using a fuzzy rule mining procedure introduced by the authors in previous works. The rule mining procedure is based on the GUHA logical model, fuzzified via a recently proposed representation...
Proceedings Article

Membership-based clustering of heterogeneous fuzzy data

Gernot Herbst, Arne-Jens Hempel, Rainer Fletling, Steffen F. Bocklisch
This article contributes to clustering and fuzzy modelling of data such that specific characteristics of each datum can be incorporated. Particularly, each object may exhibit an individual area of influence in its feature space, for which it is representative. For such objects, a similarity measure is...
Proceedings Article

Cluster Tendency Assessment for Fuzzy Clustering of Incomplete Data

Ludmila Himmelspach, Daniel Hommers, Stefan Conrad
The quality of results for partitioning clustering algorithms depends on the assumption made on the number of clusters presented in the data set. Applying clustering methods on real data missing values turn out to be an additional challenging problem for clustering algorithms. Fuzzy clustering approaches...
Proceedings Article

M-Estimator induced Fuzzy Clustering Algorithms

Roland Winkler, Frank Klawonn, Rudolf Kruse
M-estimators can be seen as a special case of robust clustering algorithms. In this paper, we present the reversed direction and show that clustering algorithms can be constructed by using M-estimators. A clever normalization is used to link the values of several M-estimator prototypes together in one...
Proceedings Article

Genetic Programming for Optimizing Fuzzy Gradual Pattern Discovery

Sarra Ayouni, Sadok Ben Yahi, Anne Laurent, Pascal Poncelet
Proceedings Article

Fuzzy Inference System based Contrast Enhancement

Balasubramaniam Jayaram, Kakarla Narayana, V. Vetrivel
In this work, we propose a fuzzy inference system based contrast enhancement of gray level images. We propose a new method of generating the fuzzy if-then rules specific to a given image based on the local information available to be used by a fuzzy inference system. To this end, we only generate a...
Proceedings Article

Towards an objective edge detection algorithm

Manuel González-Hidalgo, Sebastià Massanet
In this paper a comparative analysis of different techniques in order to transform a gray-scale edge image to a thin binary edge image is performed. Several thresholding methods and thinning methods are compared. The comparison is made according to some performance measures, such as Pratt's figure of...
Proceedings Article

Generation of fuzzy edge images using trapezoidal membership functions

Carlos Lopez-Molina, Humberto Bustince, Javier Fernandez, Bernard De Baets
The fuzzy representation of the edges has been widely studied in different works. Generally, for each pixel, the authors use membership degrees linearly proportional to the magnitude of the gradient at that position of the image. This would be equivalent to using a triangular membership functions on...
Proceedings Article

Two different approaches to handle landmark location uncertainty in skull-face overlay:coevolution vs fuzzy landmarks

Óscar Ibáñez, Óscar Cordón, Sergio Damas
Craniofacial superimposition is a forensic process where photographs or video shots of a missing person are compared with the skull that is found. By projecting both photographs on top of each other (or, even better, matching a scanned three-dimensional skull model against the face photo/video shot),...
Proceedings Article

Determining the accuracy in image supervised classification problems

Daniel Gomez, Javier Montero
A large number of accuracy measures for crisp supervised classification have been developed in supervised image classification literature. Overall accuracy, Kappa index, Kappa location, Kappa histo and user accuracy are some well-known examples. In this work, we will extend and analyze some of these...
Proceedings Article

Fuzzy based subcutaneous fat assessment in real time ultrasound images

Pedro Couto, Severiano Silva, Edurne Barrenechea, Ana Santos, Pedro Melo-Pinto
The present work addresses the study of techniques of digital image processing based on fuzzy logic for subcutaneous fat (SF) estimation in real time ultrasound (RTU) images. The process for SF automatic estimation in RTU images is divided into two steps: the identification of the image area corresponding...
Proceedings Article

Closing and Opening based on discrete t-norms. Applications to natural Image Analysis

Manuel González-Hidalgo, Sebastià Massanet
This paper delves deeply into the recently introduced mathematical morphology based on discrete t-norms. Closing and opening operators and the concepts of open and closed objects are introduced. All the properties satisfied by nilpotent t-norms, even the generalized idempotence, hold too. After that,...
Proceedings Article

One Image Reduction Algorithm for RGB Color Images

Daniel Paternain, Aranzazu Jurio, Miguel Pagola, Humberto Bustince, Gleb Beliakov
We investigate the problem of combining or aggregating several color values given in coding scheme RGB. For this reason, we study the problem of averaging values on lattices, and in particular on discrete product lattices. We study the arithemtic mean and the median on product lattices. We apply these...
Proceedings Article

All-Pairs Evolving Fuzzy Classifiers for On-line Multi-Class Classification Problems

Edwin Lughofer
In this paper, we propose a novel design of evolving fuzzy classifiers in case of multi-class classification problems. Therefore, we exploit the concept of all-pairs aka all-versus-all classification using binary classifiers for each pair of classes, which has some advantages over direct multi-class...
Proceedings Article

On-line Redundancy Elimination in Evolving Fuzzy Regression Models using a Fuzzy Inclusion Measure

Edwin Lughofer, Eyke Hüllermeier
This paper tackles the problem of complexity reduction in evolving fuzzy regression models of the Takagi-Sugeno type. The incremental model adaptation process used to evolve such models over time, often produces redundancies such as overlapping rule antecedents. We propose the use of a fuzzy inclusion...
Proceedings Article

Incorporating Dynamic Uncertainties into a Fuzzy Classifier

Jens Hülsmann, Andreas Buschermohle, Werner Brockmann
Dealing with classification problems in practice often has to cope with uncertain information, either in the training or in the operation phase or both. Modeling these uncertainties allows to enhance the robustness or performance of the classifier. In this paper we focus on the operation phase and present...
Proceedings Article

Learning in dynamic environments: application to the diagnosis of evolving systems

Moamar Sayed-Mouchaweh, Omar Ayad, Noureddine Malki
In dynamic environments, data characteristics may drift over time. This leads to deteriorate dramatically the performance of incremental learning algorithms over time. This is because of the use of data which is no more consistent with the characteristics of new incoming one. In this paper, an approach...
Proceedings Article

Searching for a compromise between satisfaction and diversity in database fuzzy querying

Olivier Pivert, Allel Hadjali, Grégory Smits
This paper deals with fuzzy queries and describes an approach that aims at providing users with a set of answers which satisfies a diversity criterion on one or several attributes. Different cases are considered and two types of algorithms are described. The first one, which has a linear complexity...
Proceedings Article

Bipolarity in ear biometrics

Joachim Nielandt, Antoon Bronselaer, Tom Matthé, Guy De Tré
Identifying people using their biometric data is a problem that is getting increasingly more attention. This paper investigates a method that allows the matching of people in the context of victim identification by using their ear biometric data. A high quality picture (taken professionally) is matched...
Proceedings Article

Linguistic Summarization of Time Series Data using Genetic Algorithms

Rita Castillo-Ortega, Nicolás Marín, Daniel Sánchez, Andrea G.B. Tettamanzi
In this paper, the use of an evolutionary approach when obtaining linguistic summaries from time series data is proposed. We assume the availability of a hierarchical partition of the time dimension in the time series. The use of natural language allows the human users to understand the resulting summaries...
Proceedings Article

Bipolarity and the relational division

Nouredine Tamani, Ludovic Liétard, Daniel Rocacher
A fuzzy bipolar relation is a relation defined by a fuzzy bipolar condition, which could be interpreted as an association of a constraint and a wish. In this context, the extension of the relational division operation to bipolarity is studied in this paper. Firstly, we define a bipolar division when...
Proceedings Article

Different interpretations of fuzzy gradual-inclusion-based IR models

Laurent Ughetto, Vincent Claveau
Recently, a theoretical fuzzy IR system, based on gradual inclusion measures, has been proposed [1]. In this model, derived from the division of fuzzy relations, the gradual inclusion of a query in a document is modeled by a fuzzy implication. In previous papers, we have shown that, under some assumptions,...
Proceedings Article

Fuzzy methods for database protection

Vicenc Torra, Daniel Abril, Guillermo Navarro-Arribas
Data privacy has become an important topic of research. Ubiquitous databases and the eclosion of web technology eases the access to information. This information can be related to individuals, and, thus, sensitive information about users can be easily accessed by interested parties. Data privacy focuses...
Proceedings Article

Fuzzy Transforms and Fragile Watermarking Tamper Detection on Coded Images

Ferdinando Di Martino, Salvatore Sessa
An original image is compressed with fuzzy transforms and is divided in images of sizes 2×2 on which we apply a known fragile watermarking process. A preprocessing phase is considered to determine the better compression rate for the coding process. We test this scheme in tamper detection analysis on...
Proceedings Article

Fuzzy and Fourier Transforms

Irina Perfilieva, Petra Hod'áková
The fuzzy transform (F-transform for short) is a universal tool for a fuzzy modeling with convincing applications to image processing. The aim of this contribution is to explain the effect of the Ftransform in image processing. With this purpose, we investigate properties of the Fourier transform over...
Proceedings Article

Imprecise linear filtering: a second step

Olivier Strauss, Agnès Rico
Linear digital signal processing consists in convoluting the input sampled signal with the discrete version of the impulse response of a filter designed by an expert. More than often, a unique impulse response does not represent the complete knowledge of the expert who should have proposed more than...
Proceedings Article

Forecasting seasonal time series with computational intelligence: contribution of a combination of distinct methods.

Martin Stepnicka, Juan Peralta Donate, Paulo Cortez, Lenka Vavríková, German Gutierrez
Accurate time series forecasting are important for displaying the manner in which the past continues to affect the future and for planning our day to day activities. In recent years, a large literature has evolved on the use of computational intelligence in many forecasting applications. In this paper,...
Proceedings Article

Statistical analysis of a smoothing filter based on fuzzy transform

Michal Holcapek, Tomáš Tichý
The paper is devoted to the smoothing of discrete functions using the fuzzy transform (shortly, Ftransform) introduced by Perfilieva in [1]. We generalize a smoothing filter based on the fuzzy transform proposed in [2] to obtain a better control on the smoothed functions. For this purpose, a generalization...
Proceedings Article

Fuzzy Function: Theoretical and Practical Point of View

Irina Perfilieva
The aim of this investigation is to reconsider two notions of fuzzy function, namely: a fuzzy function as a special fuzzy relation and a fuzzy function as a mapping between fuzzy spaces. We propose to combine both notions in such a way that a fuzzy function as a relation determines a fuzzy function...
Proceedings Article

Monotonicity of fuzzy rule bases: On differences between graded and non-graded approaches

Martina Danková, Martin Štepnicka, Bernard De Baets
This contribution provides an exhaustive explanation of the graded approach to the monotonicity property (of a fuzzy relation) and its non-graded version. Our framework is algebraic. We present a wide variety of examples to support our claims relating to the well defined notion and suitability for fuzzy...
Proceedings Article

Transitive Openings

Dionis Boixader, Jordi Recasens
Though the transitive closure of a reflexive and symmetric fuzzy relation R is unique and there are several algorithms to calculate it, there can be many transitive openings (maximal T-indistinguishability operators among the ones smaller than or equal to R). This paper presents a method to calculate...
Proceedings Article

Some dependencies among attributes given by fuzzy confirmation measures

Jiri Kupka, Iva Tomanová
This paper is devoted to fuzzy association analysis. Our motivation to this work arose from mining of linguistic associations, however found relations among mined associations are valid in general. Three the most commonly used support and confidence measures are considered and various relations among...
Proceedings Article

Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory

Glad Deschrijver
In this paper we propose an extension of the wellknown OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov's intuitionistic (AIFS) fuzzy set theory. We first extend the arithmetic and the quasi-arithmetic mean using the arithmetic operators in IVFS and AIFS theory and investigate...
Proceedings Article

Weighted Voting Method Using Atanassov's Intuitionistic Fuzzy Preference Relations and Ignorance Functions

Daniel Paternain, Aranzazu Jurio, Edurne Barrenechea, Humberto Bustince, Benjamin Bedregal, Eulalia Szmidt
In this work we present a method for constructing an Atanassov's intuitionistic fuzzy preference relation from a fuzzy preference relation that takes into account the ignorance of the expert when evaluating the preferences in the latter. Moreover, we present two algorithms that make use of this method...
Proceedings Article

The Spearman and Kendall rank correlation coefficients between intuitionistic fuzzy sets

Eulalia Szmidt, Janusz Kacprzyk
This paper is a continuation of our previous work on Pearson's coefficient r and we discuss here the concept of the Spearman correlation coefficient and the Kendall correlation coefficient between Atanassov's intuitionistic fuzzy sets (A-IFSs, for short) to measure the degree of association between...
Proceedings Article

Intuitionistic fuzzy preference relations

Urszula Dudziak, Barbara Pekala
We consider properties of intuitionistic fuzzy preference relations. We study preservation of a preference relation by lattice operations, composition and some Atanassov's operators like F,, P,, Q,, where , [0, 1]. We also define semi-properties of intuitionistic fuzzy relations, namely reflexivity,...
Proceedings Article

Probability on Effect Algebras

Mája Kuková, Alzbeta Michalíková, Belo Riecan
Effect algebras ([1], [2]) and D-posets ([3]) are equivalent systems important in quantum structures. In the paper an independent sequence of observables is defined by such a way that a very general version of the central limit theorem may be proved.
Proceedings Article

On the distributive equation for t-representable t-norms generated from nilpotent and strict t-norms

Michal Baczynski
Recently, in [4], we have discussed the following distributive equation of implications I(x, T1(y, z)) = T2(I(x, y), I(x, z)) over t-representable t-norms, generated from strict t-norms, in interval-valued fuzzy sets theory. In this work we continue these investigations, but with the assumption that...
Proceedings Article

An axiomatic definition of divergence for intuitionistic fuzzy sets

Ignacio Montes, Vladimir Janis, Susana Montes
An axiomatic definition of divergence measure for intuitionistic fuzzy sets (IFSs, for short) is presented in this work, as a particular case of dissimilarity between IFSs. As the concept of divergence measure is more restrictive, it has particular properties which are studied. Furthermore, the relationships...
Proceedings Article

Preservation of Intuitionistic Fuzzy Preference Relations

Pawel Drygas
In this paper we consider some properties of intuitionistic fuzzy preference relations. We pay attention to preservation of intuitionistic fuzzy preference relations by aggregation operations. In particular, we know, that a special kind of aggregation operations (lattice operations) do not preserve...
Proceedings Article

The Inclusion-Exclusion Principle On the Set of IF-sets

Jana Kelemenová
P. Grzegorzewski [3] has worked the probability version of the inclusion-exclusion principle and made a generalization for IF-events. He had applied two versions of the generalized formula, corresponding to different t-conorms and so defined the union of IF-events. This paper contains the generalization...
Proceedings Article

Linear programming with Triangular Intuitionistic Fuzzy Number

Dipti Dubey, Aparna Mehra
This paper presents an approach based on value and ambiguity indexes defined in [1] to solve linear programming problems with data as triangular intuitionistic fuzzy numbers.
Proceedings Article

Language, Thinking, Meaning-and Fuzzy Logic

Rudolf Seising
In this paper we associate the three concepts of language, thinking, and meaning with Fuzzy Sets and Systems and Fuzzy Logic. We present some developments in 20th century history of science and of humanities that show deep links between these concepts and we give a proposal for a fuzzy theoretical interpretation...
Proceedings Article

Varieties of Vagueness, Fuzziness and a few foundational (and ontological) questions

Marco Elio Tabacchi, Settimo Termini
In this paper we discuss the multifaceted nature of vagueness, the limits of (standard) set theory in dealing with the foundational aspects that a really innovating theory of vagueness should manifest, and the difficulties in outlining the possible features that such a type of new formalism should exhibit...
Proceedings Article

Wisdom - the blurry top of human cognition in the DIKW-model?

Anett Hoppe, Rudolf Seising, Andreas Nürnberger, Constanze Wenzel
Wisdom is an ancient concept, that experiences a renaissance since the last century throughout several scientific communities. In each of them it is interpreted in rather different ways - from a key ability to succesful aging to a human peak perfomance transcending mere knowledge. As a result, miscellaneous...
Proceedings Article

The Fuzziness of Verbal Response Scales:The STAI-T Questionnaire

Franziska Bocklisch, Steffen F. Bocklisch, Josef F. Krems
In this paper we used a two-step procedure for the numerical translation of verbal frequency expressions of the response scale of a questionnaire (STAI-T). In an empirical study, 70 participants estimated numerical equivalents for verbal frequency expressions, data was modeled, and fuzzy membership...
Proceedings Article

Unended Reflections on Family Resemblance and Predicates Linguistic Migration

Itziar Garcia-Honrado, Enric Trillas
This paper takes into account the Wittgenstein's idea of family resemblance as a particular crisp relation between some fuzzy sets, that is, between some representations of predicates use from its use. It is shown that all uses of the same predicate actually do have some kind of family resemblance,...
Proceedings Article

Some preliminary reflections on the epistemology of Computational Theory of Perceptions

Clara Barroso, Gracian Trivino
The impressive practical applications is one of the main reasons of success of Fuzzy Logic. The Computational Theory of Perceptions (CTP) is an extension of this theory that has not yet reached the same level of applicability. We believe that a review of the fundamentals of CTP from a epistemological...
Proceedings Article

Relational structures for measures of ignorance

Camilo Franco De Los Rios, Javier Montero, J. Tinguaro Rodríguez
Different types of inexactness can be represented by fuzzy sets: vagueness, where there are no precise boundaries, ambiguity, when more than one distinguishable concept is described, generality, such that a word applies to a variety of situations, and ambivalence, where conflicting valuations can coexist....
Proceedings Article

Computational Models of Affect and Fuzzy Logic

Albert Van Der Heide, Daniel Sánchez, Gracian Trivino
In light of recent research and empirical findings a new view on emotion and affect has surfaced. Within this view `feeling' (core affect) is separated from Ëmotion' (psychological construction). This model appears to be a good candidate for a computation model of affect and emotion. We argue that...
Proceedings Article

Multi-criteria Group Decision Supplier Selection Problem using Fuzzy TOPSIS Based Approch

Akram Zuoggari, Lyes Benyoucef
This paper presents a new decision making approach for group multi-criteria supplier selection problem, which clubs supplier selection process with order allocation for dynamic supply chains to cope market variations. More specifically, the developed approach imitates the knowledge acquisition and manipulation...
Proceedings Article

Management decision-aiding with a fuzzy integral based Performance Measurement System

Lamia Berrah, Jacky Montmain, Vincent Clivillé, Gilles Mauris
This article is a contribution to the decision-maker's requirements to adapt resource allocation and define rewards according to the performance assessments at each milestone of an improvement action plan execution. Our approach is based on Performance Measurement Systems relating interacting elementary...
Proceedings Article

Fuzzy assessment of test results

Oleksandr Sokolov, Olga Molchanova
The objective of this research is to study various assessment methods used in modern test systems. Methods based on classical test theory and IRT (item response theory) have been considered in this paper. The approaches to improve the quality of assessment of the ability level as a function of the diversity...
Proceedings Article

Fuzzy logic in competence management

Raymond Houé, Bernard Grabot, Germaine Tchuente
Industrial performance has for a long time been considered as a result of technical resources optimization. During the recent decades, competencybased approach has emerged as a promising concept for taking into account human skills/knowledge/abilities while addressing organizational goals and constraints....
Proceedings Article

Fuzzy Rules for Events Perception and Emotions in an Agent Architecture

Hazael Jones, Julien Saunier, Domitile Lourdeaux
In complex simulations, multi-agents systems allow to model virtual humans with an explicit cognitive process representation. However, this cognitive process is hard to model and is therefore generally simplified in an application-dependant way. In order to improve the realism of individual and collective...
Proceedings Article

A GA-based fuzzy resource leveling optimization for helicopter maintenance activity

Malek Masmoudi, Alain Hait
Genetic algorithm is one of the main heuristics that have been applied to scheduling problems in the last few decades. This paper presents a generalization of the genetic algorithm for solving project scheduling problem under time uncertainties within resource leveling technique. The generalization...
Proceedings Article

MRP with imprecise demand and uncertain lead time

Romain Guillaume, Caroline Thierry, Bernard Grabot
Taking into account the uncertainty of real data in the planning process is a real challenge for nowadays companies. It is suggested in this communication to take into account the demand uncertainty, but also the uncertainty on the lead times, for deciding which quantities of components should be released,...
Proceedings Article

Estimating domains of attraction of fuzzy polynomial systems

Jose Luis Pitarch, Carlos Ariño, Antonio Sala
Most fuzzy control papers check LMI or SOS stability conditions in order to prove local stability results of nonlinear systems (Takagi-Sugeno fuzzy models or polynomial fuzzy models via Sector Nonlinearity approach). In case of having into account the shape of the membership functions in a particular...
Proceedings Article

Methodology for adapting the parameters of a fuzzy system using the extended Kalman filter

Antonio Javier Barragán Piña, José Manuel Andújar Márquez, Mariano J. Aznar Torres, Agustín Jiménez Avello, Basil M. Al-Hadithi
When we try to analyze and to control a system whose model was obtained only based on input/output data, accuracy is essential in the model. On the other hand, to make the procedure practical, the modeling stage must be computationally efficient. In this regard, this paper presents the application of...