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

+ Advanced search
156 articles

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...

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...

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...

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....

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...

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...

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...

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....

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...

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....

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/

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.

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...

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...

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...

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...

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...

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...

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...

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...

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...

Modelling and aggregation of heterogeneous fuzzy data

Arne-Jens Hempel, Gernot Herbst, Steffen F. Bocklisch
This article proposes an individual fuzzy modelling and treatment of data allowing for the specific uncertainty of each datum. A modelling approach based on parametric fuzzy sets is being introduced which can be employed to model both data with individual uncertainties as well as abstract phenomena...

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...

Improving performances in a company when collective strategy comes up against individual interests

Abdelhak Imoussaten, Francois Trousset, Jacky Montmain
In the current industrial context, strategies intended to bring about continuous improvement have to include the multi-criteria performance expression aspects. In complex systems, many actions may be envisaged to achieve the required levels of performance. A fuzzy representation is used to model the...

Completing rule bases in symbolic domains by analogy making

Henri Prade, Steven Schockaert
The paper considers the problem of completing a set of parallel if-then rules that provides a partial description of how a conclusion variable depends on the values of condition variables, where each variable takes its value among a finite ordered set of labels. The proposed approach does not require...

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....

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.

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.

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...

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...

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,...

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...

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...

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...

Choquistic Regression: Generalizing Logistic Regression using the Choquet Integral

Ali Fallah Tehrani, Weiwei Cheng, Eyke Hüllermeier
In this paper, we propose a generalization of logistic regression based on the Choquet integral. The basic idea of our approach, referred to as choquistic regression, is to replace the linear function of predictor variables, which is commonly used in logistic regression to model the log odds of the...

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...

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...

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...

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...

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...

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...

A Fuzzy Approach for Sensor Fault-Tolerant Control of wind energy conversion Systems

Elkhatib Kamal, Abdel Aitouche, Mireille Bayart
This paper presents the robust fuzzy fault tolerant control (FFTC) for nonlinear wind energy conversion systems (WECS) in the presence of bounded sensor faults and the state variable unavailable for measurement based on Takagi-Sugeno (TS) fuzzy model. Sufficient conditions are derived for robust stabilization...

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...

Ranking of fuzzy numbers based on alpha-distance

Saeid Khezerloo, Tofigh Allahviranloo, Masoume Khezerloo
This paper presents a new approach to compare fuzzy numbers using -distance. Initially, the metric distance on the interval numbers based on the convex hull of the endpoints is proposed and it is extended to fuzzy numbers. All the properties of the -distance are proved in details. Finally, the ranking...

On the solutions of L-fuzzy relational equations with sub-triangle composition and its relation with the L-Fuzzy Concept Theory

Cristina Alcalde, Anna Burusco, Ramon Fuentes-González
Given a Brouwerian complete lattice (L, ) and two referential sets K and E, and using a fuzzy relation R LE×E which is reflexive and symmetric, certain fuzzy relations H LK×E are characterized as solutions of X R = X. These solutions H can be determinated by means of the L-fuzzy concepts associated...

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

Control of permanent magnet synchronous generator wind turbine for stand-alone system using fuzzy logic

Huynh Quang Minh, Nollet Frédéric, Essounbouli Najib, Hamzaoui Abdelaziz
In this paper, the control scheme of a wind energy conversion system for remote sites using fuzzy logic is presented. Two fuzzy controllers are proposed: the first one is dedicated to the maximum power point tracking (MPPT) of a variable speed permanent magnet synchronous generator wind turbine. The...

A numerical distance based on fuzzy partitions

Serge Guillaume, Brigitte Charnomordic, Patrice Loisel
This work studies a new distance function which takes into account expert knowledge by making use of fuzzy partitions. It considers the symbolic distances between concepts and is equivalent to the Euclidean distance for regular partitions made of triangular membership functions. Its behaviour is investigated...

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...