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132011 articles
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

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

CEVCLUS: Constrained evidential clustering of proximity data

Violaine Antoine, Benjamin Quost, Mylène Masson, Thierry Denoeux
We present an improved relational clustering method integrating prior information. This new algorithm, entitled CEVCLUS, is based on two concepts: evidential clustering and constraint-based clustering. Evidential clustering uses the DempsterShafer theory to assign a mass function to each object. It...
Proceedings Article

Decision Analysis Using the Benefit-Cost-Deficit model

Karima Sedki, Philippe Polet, Frédéric Vanderhaegen
In this paper, we are interested in the decision analysis focusing on the Benefit-Cost-Deficit (BCD) model. The BCD model is proposed recently in order to analyse the intentional deviated users behaviour (prescribed behaviour crossing). This later is considered as a decision problem under risk where...
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

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

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

Model Inversion using Extended Gradual Intervals Arithmetic

Reda Boukezzoula, Laurent Foulloy, Sylvie Galichet
Recently, gradual numbers have been introduced as a means of extending standard interval computation methods to fuzzy and gradual intervals. However, it is well known that the practical use of standard interval arithmetic operators, just as their fuzzy extension, gives results more imprecise than necessary....
Proceedings Article

Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind

Lucian Coroianu, Sorin G. Gal, Barnabas Bede
In this paper firstly we extend from [0, 1] to an arbitrary compact interval [a, b], the definition of the nonlinear Bernstein operators of max-product kind, B (M) n (f), n N, by proving that their order of uniform approximation to f is 1(f, 1/
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...
Proceedings Article

Evaluating Operational Risk Exposure Using Fuzzy umber Approach to Scenario Analysis

Antonina Durfee, Alexey Tselykh
Risks and losses arising from system failure, unauthorized activity, fraud and other operational errors are postulated to be one of the primary banking risks. Expert-based scenario analysis aims at describing the frequency and severity of extreme operational losses. Experts are not exact in predicting...
Proceedings Article

Translation invariance and scale invariance of approximations of fuzzy numbers

Adrian Ban, Lucian Coroianu
We give some sufficient conditions such that a crisp, interval, triangular, trapezoidal, parametric approximation of a fuzzy number, with or without additional requirements, to have the properties of invariance to translations or scale invariance.
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

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

Solving fuzzy Volterra integro-differential equation by fuzzy differential transform method

Nasser Mikaeilvand, Sakineh Khakrangin, Tofigh Allahviranloo
In this study, differential transform method (DTM) is applied to fuzzy integro-differential equation. The concept of generalized Hdifferentiability is used. If the equation has a solution in terms of the series expansion of known functions; this powerful method catches the exact solution. Some numerical...
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

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

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

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

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

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

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

Categories Related to Topology Viewed as Soft Sets

Banu Pazar Varol, Alexander Shostak, Halis Aygün
D. Molodtsov (1999) introduced the concept of a soft set as a new approach for modeling uncertainties. The aim of this work is to define special kinds of soft sets, namely soft, L-fuzzifying soft, L-soft, and L-fuzzy soft neighborhood sets and to use them in order to give an alternative characterization...
Proceedings Article

Multi-criteria improvement of options

Abdelhak Imoussaten, Jacky Montmain, Francois Trousset, Christophe Labreuche
Designing the way a complex system should evolve to better match the customers' requirements provides an interesting class of applications for muticriteria techniques. The required models to support the improvement design of a complex system must include both preference models and system behavioral...
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

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

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

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

On the usefulness of fuzzy SVMs and the extraction of fuzzy rules from SVMs

Christian Moewes, Rudolf Kruse
In this paper we reason about the usefulness of two recent trends in fuzzy methods in machine learning. That is, we discuss both fuzzy support vector machines (FSVMs) and the extraction of fuzzy rules from SVMs. First, we show that an FSVM is identical to a special type of SVM. Second, we categorize...
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

Fuzzy logic as a useful tool for managing resources in multi-energy buildings

Benjamin Paris, Julien Eynard, Michael Salvador, Stéphane Grieu
The present paper focuses on using fuzzy logic as a useful tool to manage energy resources in buildings and to reduce their energy impact. To that purpose, one requires the design and the implementation of efficient and readily adaptable control schemes. As everyone knows, fuzzy logic allows taking...
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

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

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

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

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

Fuzzy fractional differential equations with Nagumo and Krasnoselskii-Krein condition

Tofigh Allahviranloo, Saeid Abbasbandy, Soheil Salahshour
In this paper, we consider two new uniqueness results for fuzzy fractional differential equations (FFDEs) involving Riemann-Liouville generalized H-differentiability with the Nagumo-type condition and the Krasnoselskii-Krein-type condition. To this purpose, the equivalent integral forms of FFDEs are...
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

Aggregation of Health Assessment Indicators of Industrial Systems

Ludovic Rizzolo, Bouthaina Abichou, Alexandre Voisin, Naim Kosayyer
In the field of Prognostics and Health Management (P.H.M.), Health Monitoring can be seen as the first step to manage the global health state of complex systems. Health Monitoring of industrial systems focuses on accurately describing the health state of a system, using several equipment indicators....
Proceedings Article

A new method coupling simulation and a hybrid metaheuristic to solve a multiobjective hybrid flowshop scheduling problem

Xiaohui Li, Hicham Chehade, Farouk Yalaoui, Lionel Amodeo
In this paper, we have studied a multiobjective hybrid flowshop scheduling problem where n independent jobs should be executed in a hybrid assembly line. The aim of our work is to optimize the makespan and the total tardiness of the whole production. A simulation based optimization algorithm is proposed...
Proceedings Article

Towards an Axiomatization for the Generalization of the Kullback-Leibler Divergence to Belief Functions

Hélène Soubaras
In his information theory, Shannon [1] defined a notion of uncertainty, the entropy, which has been generalized in several wways to belief functions [2]. He also defined the channel capacity for which we propose in this paper the first generalization to belief functions. To do that, we need first to...
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

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

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

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

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

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

Combining the -Plane Representation with an Interval Defuzzification Method

Sarah Greenfield, Francisco Chiclana
This paper is concerned with the defuzzification of the discretised generalised type-2 fuzzy set. In 2008 Liu proposed the -Plane Representation -- a decomposition of the generalised type-2 set into horizontal slices termed `-planes'. An -plane is akin to an interval type-2 fuzzy set. The -Plane Representation...