Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Session: Regular Session
54 articles
Proceedings Article
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...
Proceedings Article
Data Reconciliation under Fuzzy Constraints in Material Flow Analysis
Didier Dubois, Hélène Fargier, Dominique Guyonnet
Data reconciliation consists in modifying noisy or unreliable data in order to satisfy a mathematical model (herein a material flow network). The conventional approach relies on least squares minimization. Here we show that the setting of fuzzy sets provides a generalized approach that is more flexible...
Proceedings Article
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...
Proceedings Article
Fuzzification of probabilistic objects
Martin Papco
A categorical approach to probability allows to put basic notions of probability into a broader mathematical perspective, to evaluate their roles, and mutual relationships. Classical probability theory and fuzzy probability theory lead to two particular categories and their relationship (in categorical...
Proceedings Article
Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory
Glad Deschrijver
The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets. In this paper we investigate t-norms on 3-dimensional sets which are join-morphisms. Under some additional conditions we show...
Proceedings Article
Holistic Preference Learning with the Choquet Integral
Bénédicte Goujon, Christophe Labreuche
The current approaches to construct a multi-criteria model based on a Choquet integral are split into two separate steps: construct first the utility functions and then the aggregation function. Unfortunately, the decision maker may feel some difficulties in addressing these tricky steps. In this paper,...
Proceedings Article
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...
Proceedings Article
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.
Proceedings Article
Type-2 aggregation operators
Zdenko Takác
The paper deals with an extension of aggregation operators from the set of real numbers (or interval [0, 1]) to the set of fuzzy truth values (fuzzy sets in [0, 1]). We define so-called type-2 aggregation operator and show that an extension of ordinary aggregation operator by convolution is a type-2...
Proceedings Article
Use of the GAI model in multi-criteria decision making: inconsistency handling, interpretation
Christophe Labreuche, Michel Grabisch
This paper is devoted to the use of the GAI (Generalized Additive) model in a Multi-Criteria Decision Making context. We first discuss on some new conditions (concerning the sign and monotonicity) to add on the terms appearing in a GAI model. Secondly, we propose some algorithms to propose the learning...
Proceedings Article
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...
Proceedings Article
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...
Proceedings Article
A fuzzy extension of explanatory relations based on mathematical morphology
Jamal Atif, Isabelle Bloch, Felix Distel, Hudelot Celine
In this paper, we build upon previous work defining explanatory relations based on mathematical morphology operators on logical formulas in propositional logics. We propose to extend such relations to the case where the set of models of a formula is fuzzy, as a first step towards morphological fuzzy...
Proceedings Article
Fuzzy preference modelling and some consequences for fuzzy implications and quasi-copulas
Dana Hlin ná, Martin Kalina, Pavol Krá
In this paper we study connection between quasi-copulas and generator triples of a fuzzy preference structures. We study also conditions under which fuzzy implications can be used to construct generator triples. As we show, an important property of fuzzy implications that enables us to construct a generator...
Proceedings Article
An analytical approach to evaluating monotonic functions of fuzzy numbers
Arthur Seibel, Josef Schlattmann
This paper presents a practical analytical approach to evaluating continuous, monotonic functions of independent fuzzy numbers. The approach is based on a parametric -cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.
Proceedings Article
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...
Proceedings Article
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...
Proceedings Article
Qualitative integrals and desintegrals as lower and upper possibilistic expectations
Didier Dubois, Henri Prade, Agnès Rico
Any capacity (i.e., an increasing set function) has been proved to be a lower possibility measure and an upper necessity measure. Similarly, it is shown that any anti-capacity (i.e., a decreasing set function) can be viewed both as an upper guaranteed possibility measure and as a lower weak necessity...
Proceedings Article
Prototype Construction for Clustering of Point Processes based on Imprecise Synchrony
Christian Borgelt, Christian Braune
We consider the task to cluster realizations of point processes, that is, lists of points in time. Our guiding principle is that two such lists are the more similar, the more (approximately) synchronous points they contain. This task occurs in the analysis of parallel spike trains in neurobiology, where...
Proceedings Article
A new integrated group decision making framework with linguistic interval fuzzy preference relations
Gulcin Buyukozkan, Sezin Güleryüz
The high complexity of socioeconomic environments often makes it difficult for a single decision maker (DM) to consider all the important aspects of some de-cision problems. Therefore, a group decision making (GDM) process is often preferred by the organizations. Moreover, during the decision process,...
Proceedings Article
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,...
Proceedings Article
Fuzzy Rule-Based Approach for Detecting Adverse Drug Reaction Signal Pairs
Ayman Mansour
Detecting Adverse Drug Reactions (ADR) signal pairs is technically a complex problem. This is the case if we realistically assume that there does not exist a set of rules that are readily acceptable to all human experts (e.g., physicians, epidemiologists and pharmacists). The parameters used in identifying...
Proceedings Article
Picking the one that does not fit - A matter of logical proportions
Henri Prade, Gilles Richard
Quiz or tests about reasoning capabilities often pertain to the perception of similarity and dissimilarity between situations. Thus, one may be asked to complete a series of entities $A$, $B$, $C$ by an appropriate $X$, or to pick the one that does not fit in a list. It has been shown that the first...
Proceedings Article
New results on redundancies of fuzzy/linguistic IF-THEN rules
Lenka Stepnickova, Martin Stepnicka, Antonin Dvorak
In this paper we present new results on detection and removal of redundancies of IF-THEN rules in so-called linguistic descriptions (systems of such rules). We introduce an algorithm for removal of redundancies and describe a practical application.
Proceedings Article
Fuzzy rule-based ensemble with use linguistic associations mining for time series prediction
Lenka Št pni ková, Martin Stepnicka, David Sikora
There are many various methods to forecast time series. However, there is no single forecasting method that generally outperforms any other. Consequently, there always exists a danger of choosing a method that is inappropriate for a given time series. To overcome such a problem, distinct ensemble techniques...
Proceedings Article
New Framework of HSL System Based Color Clustering Algorithm
Vasile Patrascu
In this paper one presents a fuzzy c-means algorithm enhancement for the particular case of color clustering. It was used the perceptual color system for color representation. The main step is represented by definition of a new distance in the color space. In this construction, there were used two multipliers...
Proceedings Article
Probabilistic Fuzzy Reasoning in a Coherent Setting
Giulianella Coletti, Davide Petturiti, Barbara Vantaggi
We use the interpretation of fuzzy sets in terms of coherent conditional probabilities for handling probabilistic fuzzy IF-THEN rules. We show by some examples how this interpretation can help when fuzzy and statistical information need to be combined and the available probabilistic information on the...
Proceedings Article
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...
Proceedings Article
Bornological structures in the context of L-fuzzy sets
Alexander Sostak, Ingrida Uljane
In order to apply the concept of boundedness, so crucial in the theory of metric spaces, to the case of a general topological space Hu Sze-Tsen introduced the notions of a bornological space and of boundedness for a mapping of bornological spaces. In this work we discuss two alternative approaches how...
Proceedings Article
A choice of bilevel linear programming solving parameters: factoraggregation approach
Pavels Orlovs, Olga Montvida, Svetlana Asmuss
Our paper deals with the problem of choosing correct parameters for the bilevel linear programming solving algorithm proposed by M. Sakawa and I.~Nishizaki. We suggest an approach based on factoraggregation, which is a specially designed general aggregation operator. The idea of factoraggregation arises...
Proceedings Article
On functions that solve Mulholland inequality and on compositions of such functions
Milan Petrík
Two results related to Mulholland inequality are presented. First, there are functions that are not geo-convex but solve Mulholland inequality; thus Mulholland's condition is not necessary. Second, the set of functions that solve Mulholland inequality is not closed with respect to compositions. As a...
Proceedings Article
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...
Proceedings Article
Hellinger distance for fuzzy measures
Vicenc Torra, Yasuo Narukawa, Michio Sugeno, Michael Carlson
Hellinger distance is a distance between two additive measures defined in terms of the Radon-Nikodym derivative of these two measures. This measure proposed in 1909 has been used in a large variety of contexts. In this paper we define an analogous measure for fuzzy measures. We discuss them for distorted...
Proceedings Article
Biconic semi-copulas with a given section
Tarad Jwaid, Bernard De Baets, Hans De Meyer, Radko Mesiar
Inspired by the notion of biconic semi-copulas, we introduce biconic semi-copulas with a given section. Such semi-copulas are constructed by linear interpolation on segments connecting the graph of a continuous and decreasing function to the points (0,0) and (1,1). Special classes of biconic semi-copulas...
Proceedings Article
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,...
Proceedings Article
h k aggregation functions, measures and integrals
Fabio Rindone, Salvatore Greco
In many decision making problems evaluations with respect to several points of view (criteria) are ex-pressed by means of h interval (or fuzzy numbers). For example a pessimistic and an optimistic eval-uation generate an interval containing the exact evaluation. These situations reflect lack of infor-mation...
Proceedings Article
On Applying Random Oracles to Fuzzy Rule-Based Classifier Ensembles for High Complexity Datasets
Krzysztof Trawinski, Oscar Cordon, Arnaud Quirin
Fuzzy rule-based systems suffer from the so-called curse of dimensionality when applied to high com- plexity datasets, which consist of a large number of variables and/or examples. Fuzzy rule-based clas- sifier ensembles have shown to be a good approach to deal with this kind of problems. In this contri-...
Proceedings Article
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...
Proceedings Article
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.
Proceedings Article
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...
Proceedings Article
At-least At-most Modifications in a Space with Fuzzy Preoreder
Irina Perfilieva
In this paper, we utilize the theory of solvability of systems of fuzzy relation equations in a space with fuzzy preorder and propose a justification of solvability of the systems that are modified with ``at least'' (``at most'') quantifiers. We show that the respectively modified fuzzy sets are upper...
Proceedings Article
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...
Proceedings Article
Optimization of Partly Conflicting Goals in Complex Resource Planning
Rudolf Felix
Many optimization models are limited with respect to the management of inconsistency between the optimization goals. As consequence, these models in many cases achieve results that are optimal for the model but not for the problem. In real world problems the optimization goals are usually partly conflicting....
Proceedings Article
Towards fuzzy linguistic Markov chains
Pablo Villacorta, Jose_Luis Verdegay, David Pelta
In this contribution we deal with the problem of doing computations with a Markov chain when the information about transition probabilities is expressed linguistically. This could be the case, for instance, if the process we are modeling is described by a human expert, for whom the use of linguistic...
Proceedings Article
A fuzzy approach for network bandwidth management
Julija Asmuss, Gunars Lauks
The paper deals with the problem of resource allocation in a substrate network with DaVinci architecture. We present a methodology of decision making on network bandwidth allocation based on fuzzification and defuzzification principles and the expert knowledge database of fuzzy rules and we describe...
Proceedings Article
High-density impulse noise removal using fuzzy mathematical morphology
Manuel González-Hidalgo, Sebastià Massanet, Arnau Mir, Daniel Ruiz-Aguilera
This paper proposes a filtering method for high-density impulse noise removal based on the fuzzy mathematical morphology using t-norms. The method is a two phased method. In the first phase, an impulse noise detector based on the fuzzy top-hat transforms is used to identify pixels which are likely to...
Proceedings Article
A possibilistic graphical model for handling decision problems under uncertainty
Salem Benferhat, Faiza Khellaf, Ismahane Zeddigha
Possibilistic networks are important and efficient tools for reasoning under uncertainty. This paper proposes a new graphical model for decision making under uncertainty based on possibilistic networks. In possibilistic decision problems under uncertainty, available knowledge are expressed by means of...
Proceedings Article
A study on Fuzzy Cognitive Map structures for Medical Decision Support Systems
Evangelia Bourgani, Chrysostomos Stylios, Voula Georgopoulos, George Manis
This study examines and compares different Fuzzy Cognitive Map structures that researchers have pro-posed for developing Medical Decision Support Sys-tems. Fuzzy Cognitive Map is a soft computing tech-nique that have gained a good reputation in the last decade and it has been used successfully in different...
Proceedings Article
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...
Proceedings Article
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...
Proceedings Article
Towards Smooth Monotonicity in Fuzzy Inference System based on Gradual Generalized Modus Ponens
Phuc-Nguyen Vo, Marcin Detyniecki
Monotonic relationship between input and output often is an inherent property of fuzzy systems. For example, for a cart-pole system, there is a gradual relationship between the pole angle and the cart velocity of the form: ``The more the pole deviates from the upright position, the higher velocity the...
Proceedings Article
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...
Proceedings Article
Characterisation of gradual itemsets based on mathematical morphology tools
Amal Oudni, Marie Jeanne Lesot, Maria Rifqi
Gradual itemsets of the form ``the more/less A, the more/less B'' summarise data through the description of their internal tendencies, identified as correlation between attribute values. This paper proposes to characterise gradual itemsets, enriching them with an additional clause introduced by the linguistic...
Proceedings Article
Geometric similarity measures for the intuitionistic fuzzy sets
Eulalia Szmidt, Janusz Kacprzyk
This paper is a continuation of our previous works on geometric similarity measures between Atanassov's intuitionistic fuzzy sets (A-IFSs for short). We consider some traps of the straightforward approach in the case of A-ISs while similarity is understood as a dual concept of a distance. The difficulties...