Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

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126 articles

The analysis of the generalized square of opposition

Petra Murinová, Vilém Novák
In this paper, we continue development of a formal theory of intermediate quantifiers (linguistic expressions such as ``most'', ``many'', ``few'', ``almost all'', etc.). In previous work, we demonstrated that 105 generalized syllogisms are valid in our theory. We turn our attention to another problem...

Distance to bipolar information from morphological dilation

Isabelle Bloch, Jamal Atif
In this paper we propose definitions of distances to bipolar information. This notion is important to find a solution that matches bipolar queries, to exhibit recommendations satisfying preferences of an agent while respecting her constraints, to find an agreement between several agents. All these situations...

Convex combination of grouping functions for image thresholding. Selection of weighting vectors

Aranzazu Jurio, Miguel Pagola, Daniel Paternain, Nicolas Madrid, Humberto Bustince
In this work we present a thresholding algorithm for greyscale images. Our proposal is based on the use of grouping functions to find the best threshold. These functions are able to measure the membership of a grey intensity to the background or to the object of the image, so the best threshold is the...

Efficient energy dispatching in smart microgrids using an integration of fuzzy AHP and TOPSIS assisted by linear programming

Beatrice Lazzerini, Francesco Pistolesi
Energy dispatching in smart (micro)grids must take into account more conflicting objectives (or criteria), such as power reliability and quality, proper handling of the electricity demand, and cost decrease. The choice of the best alternative in energy dispatching decisions can be dealt with as a multi-criteria...

On the Role of Soft Computing in Modelling the Spread of Infectious Diseases

Nick Pizzi
Infectious disease modelling is an interdisciplinary research activity that has become more prevalent over the last decade as a valuable and practical tool for public health experts. Soft computing, with its suite of techniques and strategies, which effectively handles imprecise, approximate, and vague...

Preservation of t-norm and t-conorm based properties of fuzzy relations during aggregation process

Urszula Dudziak
In the paper aggregations of fuzzy relations using functions of n variables are considered. After recalling properties of fuzzy relations, aggregation functions which preserve: reflexivity, irreflexivity, T-asymmetry, T-antisymmetry, symmetry, S-connectedness, T-transitivity, negative S-transitivity,...

Discrete uninorms with smooth underlying operators

Daniel Ruiz-Aguilera, Joan Torrens
The class of discrete uninorms U such that their underlying t-norm T and t-conorm S are smooth is studied. The different cases combining when T is the minimum or the Lukasiewicz t-norm and S is the maximum or the Lukasiewicz t-conorm, are characterized and the number of discrete uninorms with these underlying...

Generating of fuzzy implications

Anna Król
This paper deals with some dependencies between fuzzy connectives, on the pattern of laws in a classical propositional calculus, which allow to generate fuzzy implications. Fuzzy implications generated both by a triple: fuzzy conjunction, disjunction and negation, and by two fuzzy implications are considered....

On Isomorphism Theorems for MI-groups

Michal Holcapek, Michaela Wrublova, Martin Stepnicka
The theory of MI-algebras (``Many Identities''-algebras) has been introduced by M. Holcapek and M. Stepnicka recently. These structures motivated by an algebraic formalizations of distinct arithmetics of fuzzy numbers, generalize the standard structures (monoids, groups, fields etc.) by employing a whole...

On approximation properties of spline based F-transform with respect to fuzzy m-partition

Irina Kodorane, Svetlana Asmuss
In this paper we develop spline based F-transforms by considering fuzzy partitions given by polynomial splines. We investigate approximation properties of such F-transforms and prove that using generalized fuzzy m-partition, which consists of basic functions of bandwidth m, allows us to approximate not...

Ordinal Choquistic Regression

Ali Fallah Tehrani, Eyke Huellermeier
We propose an extension of choquistic regression from the case of binary to the case of ordinal classification. Choquistic regression itself has been introduced recently as a generalization of conventional logistic regression. The basic idea of this method is to replace the linear function of predictor...

Fuzziness and Semantic Web Technologies in Personalized eLearning

Marek Reformat, Patricia Boechler
The rapid development of information technologies has created suitable environment for construction of eLearning systems. The pivotal point of those systems lies in web technologies. Due to those technologies eLearning leads to a number of im- provements in: delivery, access, distributed author- ity,...

Learning Risk Management in Software Projects with a Serious Game Based on Intelligent Agents and Fuzzy Systems

Carlos Oliveira, Marcos Cintra, Francisco Mendes Neto
Traditional approaches for facilitating the learning process in risk analysis and management in software projects usually lack practical activities in solving real problems. This is basically due to time restrictions and the difficulty of simulating real scenarios where such risks occur. In this sense,...

Irreducible elements in multi-adjoint concept lattices

Jesús Medina-Moreno, Maria Eugenia Cornejo, Eloisa Ramírez
The irreducible elements in a lattice are very important. For example, when the lattice is finite, which is the usual in the computational case, they form a base from which the complete lattice is obtained. These elements are also important in Formal Concept Analysis, since they are the basic information...

The incidence relation of an L-Fuzzy Context as structuring element in Fuzzy Mathematical Morphology

Cristina Alcalde, Ana Burusco, Ramon Fuentes-Gonzalez
The goal of this work is to prove a link between the Fuzzy Mathematical Morphology and the L-fuzzy Concept Analysis when we are using structuring relations which represent the effect that we want to produce over an initial fuzzy image or signal. In this case, we prove that the problem of obtaining the...

A fixed-shape fuzzy median of a fuzzy sample

Adrian Ban, Lucian Coroianu, Przemyslaw Grzegorzewski
Since fuzzy numbers are not linearly ordered a median of a fuzzy sample cannot be determined directly as it happens with crisp observations. Even the very notion of a median of a fuzzy sample is not well established. Therefore we propose some definitions of the fixed-shape fuzzy median of a fuzzy sample...

Priestley duality for N4-lattices

Ramon Jansana, Umberto Rivieccio
We present a new Priestley-style topological duality for N4-lattices, which are the algebraic counterpart of paraconsistent Nelson logic. Our duality differs from the existing one, due to Odintsov, in that we only rely on Esakia duality for Heyting algebras and not on the duality for De Morgan algebras...

Ensembled Self-Adaptive Fuzzy Calibration Models for On-line Cloud Point Prediction

Carlos Cernuda, Edwin Lughofer, Peter Hintenaus, Wolfgang Märzinger, Thomas Reischer, Marcin Pawlicek, Jürgen Kasberger
In this paper we investigate the usage of non-linear chemometric models, which are calibrated based on near infrared (FTNIR) spectra, in order to increase efficiency and to improve quantification quality in melamine resin production. They rely on fuzzy systems model architecture and are able to {incrementally...

A Note on Fuzzy Soft Topological Spaces

Vildan Cetkin, Halis Aygun
The main aim of this paper is to give a characterization of FSTOP, the category of fuzzy soft topological spaces and its continuous mappings. For this reason, we construct the category of antichain soft topological spaces and its continuous mappings, denoted ASTOP, and show that FSTOP is isomorphic to...

Optimization and Reoptimization in Fuzzy Linear Programming problems

Behrouz Kheirfam, José-Luis Verdegay
Fuzzy Linear Programming models are quite frequent in practice. The dynamic nature of the real problems often requires reoptimize from the optimal solutions found, what may mean a significant consumption of time and funds. In this paper, in order to efficiently solve this problem, first the optimality...

Aggregation of implication functions

Tomasa Calvo, Javier Martín, Gaspar Mayor
This paper deals with the problem of the aggregation of implication functions. After characterizing those binary operations which merge two implication functions into an implication function, we study some aspects of the aggregated implication functions in terms of the two given ones. In particular,...

A Consensus Model in Group Decision Making Based on Interpolative Boolean Algebra

Ana Poledica, Pavle Milosevic, Ivana Dragovic, Dragan Radojevic, Bratislav Petrovic
The aim of this paper is to propose a soft consensus model based on interpolative Boolean algebra for group decision making problems. Consensus degrees are calculated on three levels (on pairs of alternatives, alternatives, relation) by means of pseudo-logical aggregation. The relation of equivalence...

Introducing Floating Singletons with an example application in clinic spirometry

Luis Arguelles Mendez
Fuzzy-logic models where singletons are placed in the consequents of rules of the type if x is Ai and y is Bj then zi = si are used nowadays in many soft computing applications. In this work we introduce the concept of floating singletons where their precise location on the real axis is only known at...

A fuzzy methodology to alleviate information overload in eLearning

Fabio Aurelio D'Asaro, Valerio Perticone, Marco Elio Tabacchi
Some aspects of eLearning experience can be enhanced in a very natural way by using the basic tools offered by fuzzy logic. As a matter of example, consider the uncontrolled growth of information produced in a collaborative-oriented context, in which each participant (e.g. students, teachers) is able...

Theory of Computation, Fuzziness and a physics of the immaterial

Marco_Elio Tabacchi, Settimo Termini
In this paper we advance three clear-cut proposals as a contribution to the discussion on the role of Theory of Computation and Fuzziness as a bridge between Hard and Soft Sciences. We suggest that an important difference between the two great families of science lies in their subject or research having...

Using a Linguistic Scorecard for Peer-Assessment Through an On-Line System

Pasi Luukka, Mikael Collan
Peer-assessment is a way to include evaluation as a part of the learning process and simultaneously to cut teacher load in grading of assignments. eLearning systems can be used to automate peer-assessment to a large extent. Peer-assessment benefits from multiple-peer-assessment as it is likely to even-out...

Optimum Allocation of Centers in Transportation Networks by Means of Fuzzy Graph Bases

Leonid Bershtein, Alexandr Bozhenyuk, Igor Rozenberg
In this paper the questions of defining the optimum allocation of centers in fuzzy transportation networks are observed by the minimax criterion. It is supposed that the information received from the geographical information system is presented as a fuzzy graph. In this case the task of defining optimum...

Constructing implication functions from fuzzy negations

Aguiló Isabel, Suñer Jaume, Torrens Joan
A class of implication functions is constructed from fuzzy negations. The interest of this new class lies in its simplicity and in the fact that when $N$ is Id-symmetrical, the corresponding implication agrees with the residuum of a commutative semicopula.

Flexible Querying of Volunteered Geographic Information for Risk Management

Paolo Arcaini, Gloria Bordogna, Simone Sterlacchini
The paper presents an approach to manage Volunteered Geographic Information (VGI) to point out anomalous conditions of the environment. This can help administrators in charge of the governance and maintenance activities of the territory to plan mitigation and safeguard interventions. To this end, a system...

Possibility transformation of the sum of two symmetric unimodal independent/comonotone random variables

Gilles Mauris
The paper extends author’s previous works on a proba-bility/possibility transformation based on a maximum specificity principle to the case of the sum of two iden-tical unimodal symmetric random variables. This trans-formation requires the knowledge of the dependency relationship between the two added...

On the use of restricted dissimilarity and dissimilarity-like functions for defining penalty functions

Gleb Beliakov, Humberto Bustince, Javier Fernandez, Radko Mesiar, Ana Pradera
In this work we study the relation between restricted dissimilarity functions-and, more generally, dissimilarity-like functions- and penalty functions and the possibility of building the latter using the former. Several results on convexity and quasi-convexity are also considered.

A Comparison of Approaches to Model Uncertainty in Time Intervals

Christophe Billiet, Jose Enrique Pons, Olga Pons, Guy De Tre
Information systems model parts of reality by representing properties of real-world objects or concepts. As real objects or concepts often have temporal aspects, temporal notions such as time intervals are often represented. However, these may contain imperfections like uncertainties, complicating their...

An approach to graph-based analysis of textual documents

Antoon Bronselaer, Gabriella Pasi
In this paper a new graph-based model is proposed for the representation of textual documents. Graph-structures are obtained from textual documents by making use of the well-known Part-Of-Speech (POS) tagging technique. More specifically, a simple rule-based (re)classifier is used to map each tag onto...

Nonlinear Statistical Process Monitoring based on Competitive Principal Component Analysis

Messaoud Ramdani, Khaled Mendaci
Traditional process monitoring techniques assume the normal operating conditions (NOC) to be distributed normally. However, for processes with more than one operating regime, building a single subspace model to monitor the whole process operation performance may not be efficient and will lead to high...

Building multi-adjoint concept lattices

Juan Carlos Díaz, J. Bosco García, Jesús Medina-Moreno, Rafael Rodríguez
In Formal Concept Analysis it is very important to study fast algorithms to compute concept lattices. This paper introduces an algorithm on the multi-adjoint concept lattice framework, in order to compute the whole concept lattice. This fuzzy framework is very general and provides more flexibility in...

Design of Strong Fuzzy Partitions from Cuts

Corrado Mencar, Marco Lucarelli, Ciro Castiello, Fanelli Anna Maria
The adoption of triangular fuzzy sets to define Strong Fuzzy Partitions (SFPs) is a common practice in the research community: due to their inherent simplicity, triangular fuzzy sets can be easily derived from data by applying suitable clustering algorithms. However, the choice of triangular fuzzy sets...

The Webbed Emergence of Fuzzy Sets and Computer Science Education from Electrical Engineering

Rudolf Seising, Marco Elio Tabacchi
Historically, Computer science emerged from electrical engineering in the 1960s. From the content of some un- published documents and also some rather less-well- known papers by Lotfi A. Zadeh it is argued that the emergences of Computer science and Fuzzy Set Theory have been interlinked. Zadeh’s task...

Interpretable fuzzy system allowing to be framed in a profile photo through linguistic expressions

Patricia Conde Clemente, Jose M. Alonso, Gracian Trivino
This work was grounded in the idea that the user should not be a simple data summaries recipient, and explores the possibilities of building interpretable fuzzy control systems with human-in-the-loop. For this purpose, fuzzy computational perceptions are embedded in a highly interpretable linguistic...

From paraconsistent three-valued logics to multiple-source epistemic logic

Davide Ciucci, Didier Dubois
Several interpretations can be given to the third truth value in three-valued logics. Here, we consider the case when it refers to the epistemic notion of contradictory, or both true and false at the same time. We study several paraconsistent three-valued logics that carry this concern and show that...

Monotone Classification with Decision Trees

Marsala Christophe, Davide Petturiti
In machine learning, monotone classification is concerned with a classification function to learn in order to guarantee a kind of monotonicity of the class with respect to attribute values. In this paper, we focus on rank discrimination measures to be used in decision tree induction, i.e., functions...

Compound bipolar queries: combining bipolar queries and queries with fuzzy linguistic quantifiers

Janusz Kacprzyk, Slawomir Zadrozny
We propose a conceptually new type of bipolar queries meant as those in which a required condition, to be necessarily satisfied, and desired condition, to be satisfied if possible, are included. In the new type of bipolar queries, termed compound bipolar queries, both the required and desired conditions...

Context, information’s meaning, and perception

Clara Barroso
Computer representation of human knowledge must be approached using the human ability to assign different meanings to information according to our perceptions, which at the same time are constructed and constitute the interpretative context in which possible meanings acquire varying degrees of validity....

Image compression methodology based on fuzzy transform using block similarity

Petr Hurtik, Irina Perfilieva
The aim of the work is to continue in improvement of the image compression based on the F-transform. The image is decomposed into blocks and characterized by the F-transform components. The latter constitutes a simple lossy compression. For better quality of reconstructed images, we compress certain...

A new algorithm for color image comparison based on similarity measures

Daniel Paternain, Mikel Galar, Aranzazu Jurio, Edurne Barrenechea
In this work we address the problem of the quality assessments in the process of color images segmentation. We consider each component of a color image as a fuzzy set and therefore, we propose to use similarity measures (between fuzzy sets) to compare image segmentations. We test three segmentation algorithms,...

An extension of Yager's implications

Sebastià Massanet, Joan Torrens
In this paper, an extension of Yager's implications is proposed by means of generalizing the internal factor x, in the case of f-generated implications, or 1/x, in the case of g-generated implications, to more general unary functions. The importance of this extension stems from the fact that both subclasses...

Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces

Mustafa Demirci
As an application of the dual equivalence between the category of L-spatial C-objects and the category of L-sober C-M-L-spaces, it is shown in this paper that for a fixed augmented partially ordered set A, there exists a dual equivalence between the category of A-spatial augmented partially ordered sets...

A Genetic Tuned Fuzzy Classifier Based on Prototypes

Enrique Leyva, Antonio González, Raúl Pérez
It is known that main drawbacks of KNN classifier are related to the need for keeping all the training prototypes. Although there are several approaches capable to significantly reduce the size of the case base, they damage the classification accuracy. We propose a novel fuzzy approach capable to significantly...

Reflections on a Fuzzy Logic of Scientific Discovery and Fuzzy Structures of Scientific Revolutions

Rudolf Seising
Popper’s Logic of Scientific Discovery and Kuhn’s Structures of Scientific Revolutions are enormous important concepts on theories and their dynamic in 20th century history and philosophy of science. However, the works of the two have been criticized in the last half century and new views on theory nets...

Towards recommender systems based on a fuzzy preference aggregation

Samia Boulkrinat, Allel Hadjali, Aicha Mokhtari
An approach to deal with user preference relations, instead of absolute ratings, in recommender systems is discussed. User’s preferences are then ratings expressed qualitatively by using linguistic terms. This is a suitable technique when preferences are imprecise and vague. On the other hand, to avoid...

On power stable quasi-copulas

Anna Kolesárová, Radko Mesiar
In our contribution we discuss the power stability of 1-Lipschitz binary aggregation functions. The main result is the characterization of power stable quasi-copulas by means of their dependence functions. The notions are illustrated by examples.