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

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156 articles

Application of the Extended Kalman filter to fuzzy modeling: Algorithms and practical implementation

Antonio Javier Barragán Piña, José Manuel Andújar Márquez, Mariano J. Aznar Torres, Agustín Jiménez, Basil M Al-Hadithi
Modeling phase is fundamental both in the analysis process of a dynamic system and the design of a control system. If this phase is in-line is even more critical and the only information of the system comes from input/output data. Some adaptation algorithms for fuzzy system based on extended Kalman...

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...

A low cost intelligent localization system based on a

O. Casanova, G.N. Marichal, J.L. González Mora, A. Hernández
This paper presents an alternative sensor fusion application in order to improve the accuracy on systems that use strapdown type inertial navigation. A neuro-fuzzy approach is shown, where the information captured by a camera is fused with the values obtained from a low cost inertial measurement unit....

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...

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...

Intelligent Control of an Inverted Pendulum by Self-Tunable Fuzzy PI-type Controller

Djamel Eddine Chaouch, Hichem Maaref
line Self-tunable PI-type fuzzy inference system with application of control approach to nonlinear system. In this paper, we describe a neuro-fuzzy controller as a STFIS (Self Tuning Fuzzy Inference System) optimized online using the rules of Takagi-Sugeno type, and a back propagation learning algorithm...

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.

Trapezoidal approximations of fuzzy numbers with restrictions on the support and core

Przemyslaw Grzegorzewski, Karolina Pasternak-Winiarska
Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New operators that fulfill additional requirements for the core and support of the fuzzy number are suggested. These supplementary conditions guarantee the proper interpretation of the solution...

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....

Ranking fuzzy numbers using fuzzy maximizing-minimizing points

S. Salahshour, S. Abbasbandy, T. Allahviranloo
Up to now, several approaches have been proposed for ranking of fuzzy numbers using maximizing set and minimizing sets. Often, the reference points are created by real numbers. In this paper, we proposed new reference points so called fuzzy maximizing-minimizing points. To this purpose, we used the...

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...

Dynamical properties in the space of fuzzy numbers

Jiri Kupka
This paper is a contribution to the theoretical foundations of the theory of fuzzy dynamical systems. More precisely, we study relations between a given discrete dynamical system on the space X and its fuzzy counterpart - Zadeh's extension defined on the space of fuzzy sets on X. We provide a short...

Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation

Barnabas Bede, Luciano Stefanini
fuzzy numbers and fuzzy-valued functions, to obtain valid approximations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of in nitely many ordinary differential equations and,...

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...

Control-oriented modeling of hydrostatic power-split CVTs using Takagi-Sugeno fuzzy models

Horst Schulte, Patrick Gerland
Power-split continuously variable transmissions (CVTs) represent a promising technology to improve the fuel economy of high-power off-road vehicles such as construction and agricultural machines. There are capable of keeping the combustion engine running within the optimal range in terms of fuel economy...

Design of unknown input fuzzy observer for vehicle dynamics estimation with road geometry consideration

Hamid Dahmani, Mohammed Chadli, Abdelhamid Rabhi, Achmed El Hajjaji
A methodology for estimating vehicle dynamics whith road geometry consideration is presented in this paper. Vehicle sideslip and roll parameters are estimated in the presence of the road bank angle and the road curvature as unknown inputs. The unknown inputs are then estimated using the observer results....

On the convergence of HLMS Algorithm

Murillo Javier, Serge Guillaume, Elizabeth Tapia, Bulacio Pilar
In multicriteria decision making, the study of attribute contributions is crucial to attain correct decisions. Fuzzy measures allow a complete description of the joint behavior of attribute subsets. However, the determination of fuzzy measures is often hard. A common way to identify fuzzy measures is...

Fuzzy Measures on Finite Scales as Families of Possibility Measures

Didier Dubois
We show that any capacity or fuzzy measure ranging on a qualitative scale can be viewed both as the lower bound of a set of possibility measures, and the upper bound of a set of necessity measures. An algorithm is provided to compute the minimal set of possibility measures dominating a given capacity....

Axiomatizations of the discrete Choquet integral and extensions

Miguel Couceiro, Jean-Luc Marichal
Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by certain relaxations of the Cauchy functional equation in several variables. We show that these properties are equivalent and...

On the connection between probability boxes and possibility measures

Matthias C. M. Troffaes, Enrique Miranda, Sebastien Destercke
We explore the relationship between p-boxes on totally preordered spaces and possibility measures. We start by demonstrating that only those p-boxes who have 0–1- valued lower or upper cumulative distribution function can be possibility measures, and we derive expressions for their natural extension...

A fuzzy definition of the spatial relation “surround” - Application to complex shapes

Maria Carolina Vanegas, Isabelle Bloch, Jordi Inglada
Spatial relations are of great importance for image understanding. In this paper we focus on the “surround” relation. We propose to represent the relation as a fuzzy set in the spatial domain, which considers the imprecision of the relation itself, the morphology of the reference object, and the distance...

The Uncertain Generalized Probabilistic Weighted Average and its Application in the Theory of Expertons

José M. Merigó, Montserrat Casanovas
We introduce the uncertain generalized probabilistic weighted averaging (UGPWA) operator. It is an aggregation operator that unifies the probability and the weighted average in the same formulation considering the degree of importance that each concept has in the aggregation. Moreover, it is able to...

Mobile Phone User Identification with Fuzzy Fingerprints

Nuno Homem, Joao Paulo Carvalho
Fingerprint identification is a well-known technique in forensic sciences. The basic idea of identifying a subject based on a set of features left by the subject actions or behavior can be applied to other domains. Identifying a mobile phone user based on a user fingerprint is one such application. This...

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...

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...

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...

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...

Supplementarity measures on fuzzy sets

Susana Cubillo, Elena E. Castiñeira, Wilmer Montilla
In this paper, we tackle the study of so-called supplementarity measures. They are introduced axiomatically and are then related to incompatibility measures by antonyms. To do this, we have to establish what we mean by antonymous measure. We then prove that, under certain conditions, supplementarity...

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...

A MCDM approach for evaluating company's environmental practices

Rocio de Andrés Calle, Teresa González-Arteaga, Luis Martínez López
The need of organizations to evaluate their environmental practices is increasing, but there are many possibilities to do it. In this paper a decision model is proposed to evaluate company's environmental practice taking into account different collectives of reviewers related to the company's activity....

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...

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...

F-boxes for filtering

Olivier Strauss, Sebastien Destercke
Selecting a particular summative kernel (i.e., formally equivalent to a probability distribution) when filtering a digital signal can be a difficult task. An obvious solution to this problem is to filter with multiple kernels rather than with a single one, but the computing cost of such a solution can...

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...

Proposition of a semi-automatic possibilistic information scoring process

Marie Jeanne Lesot, Thomas Delavallade, Frédéric Pichon, Herman Akdag, Bernadette Bouchon-Meunier, Philippe Capet
This paper proposes a semi-automatic three step information scoring process that starts from constructs representing structured pieces of information and a user query. It first identifies the constructs relevant to answer the user question, based on their similarity to the query. The relevant items...

Models-based Optimization Methods for the Specication of Fuzzy Inference Systems in Discrete EVent Simulation

Paul-Antoine Bisgambiglia, Bastien Poggi, Céline Nicolai
Fuzzy Inference Systems (FIS) have the advantage of relying on the properties of Fuzzy Logic to represent imperfect information so gradually, and manipulate them from a linguistic description. This exibility of representation is more signicant for the study of complex systems. Our aims are to propose...

A Unified Model for Fuzzy Aggregation Operators and its Application in Group Decision Making

José M. Merigó
We develop a new model for fuzzy decision making based on the use of several sources of information in the analysis. We introduce the fuzzy unified aggregation operator (FUAO). It is an aggregation operator that unifies other aggregation operators in the same formulation and considering the degree of...

Combination of interval analysis and PSO for optimization

Clément Solau, Bruno Marhic, Arnaud Delahoche, Claude Clérentin, Anne-Marie Joly-Desodt, David Menga
In this paper, a constrained optimization method for various functions such as non differentiable ones based on interval analysis is proposed. The process can be broken down into two distinct parts: the first one that approximates the space satisfying the constraints and the second one that is exclusively...

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...

Two Order Sliding Fuzzy Type-2 Control Based on Integral Sliding Mode for MIMO Systems

Malik Manceur, Najib Essounbouli, Abdelaziz Hamzaoui
A higher order sliding fuzzy type-2 controller scheme for an nth order multi-input multi-output (MIMO) nonlinear uncertain perturbed systems is proposed in the paper. To overcome the constraint on the knowledge of the system model, local models related to some operating points were used to synthesize...

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...

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....

On the transitive closure of reciprocal [0, 1]-valued relations

Steven Freson, Hans De Meyer, Bernard De Baets
We build a theoretical framework that enables to extend the concept of transitive closure to the class of complete crisp relations, the class of reciprocal 3-valued relations and the class of reciprocal [0, 1]valued relations. We present algorithms to compute the transitive closure of reciprocal [0,...

Redundancies in systems of fuzzy/linguistic IF-THEN rules

Antonin Dvorak, Martin Stepnicka, Lenka Vavrícková
In this paper we will investigate which fuzzy/linguistic rules are redundant in systems of such rules called linguistic descriptions. We present a formal definition of redundancy and show that rules which are seemingly redundant can be in fact indispensable. These results apply for IF-THEN rules which...

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...

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...

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...