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In this paper we show that Atanassov's Intuitionistic Fuzzy sets can be viewed as a classification model, that can be generalized in order to take into account more classes than the three classes considered by Atanassov's (membership, non-member[...]texto impreso
Bustince, H. ; Calvo, T. ; De Baets, B. ; Fodor, J. ; Mesiar, R. ; Montero, Javier ; Paternain, D. ; Pradera, A. | Elsevier Science INC | 2010In this paper we prove that, under suitable conditions, Atanassov’s Ka operators, which act on intervals, provide the same numerical results as OWA operators of dimension two. On one hand, this allows us to recover OWA operators from Ka operator[...]texto impreso
Sanz, José Antonio ; Galar, Mikel ; Mesiar, Radko ; Bustince, H. ; Fernandez, Javier ; Montero, Javier | Springer | 2017In many problems, it is crucial to find a relation between groups of data. Such relation can be expressed, for instance, in terms of an appropriate fuzzy measure or capacity([10, 21]) which reflects the way the different data are connected to ea[...]texto impreso
Bustince, H. ; Barrenechea, E. ; Fernández, J. ; Pagola, M. ; Montero, Javier ; Guerra, C. | Elsevier Science INC | 2010In this paper we address a key problem in many fields: how a structured data set can be analyzed in order to take into account the neighborhood of each individual datum. We propose representing the dataset as a fuzzy relation, associating a memb[...]texto impreso
Bustince, H. ; Barrenechea, Edurne ; Burusco, Ana ; Fernandez, Javier ; Rodríguez, Juan Tinguaro ; Montero, Javier ; Pagola, Miguel ; Gomez, D. | Springer International Publishing | 2015In 1979, Enric Trillas started to interest in in fuzzy connectives. His first paper on this topic was ”Funciones de negacin en la teora de subconjuntos difusos” ([9]) (Negation functions in the theory of fuzzy subsets), which appeared in Spanish[...]texto impreso
Bustince, H. ; De Baets, B. ; Fernande, J. ; Mesiar, R. ; Montero, Javier | Elsevier Science INC | 2012This paper brings a generalization of the migrativity property of aggregation functions, suggested in earlier work of some of the present authors by imposing the a-migrativity property of Durante and Sarkoci for all values of a instead of a sing[...]texto impreso
Bustince, H. ; Barrenechea, E. ; Fernández, J. ; Pagola, M. ; Montero, Javier | Springer International Publishing | 2015In this work we introduce a method for building interval-valued negations using the characterization theorem for strong negations which was proposed by Trillas in 1979. We also show that interval type-2 fuzzy sets are a three dimensional represe[...]texto impreso
Bustince, H. ; Barrenechea, Edurne ; Pagola, M. ; Fernández, J. ; Xu, Z. ; Bedregal, B. ; Montero, Javier ; Hagras, H. ; Herrera, F. ; De Baets, B. | Institute of Electrical and Electronics Engineers Inc. | 2016In this paper, we review the definition and basic properties of the different types of fuzzy sets that have appeared up to now in the literature. We also analyze the relationships between them and enumerate some of the applications in which they[...]texto impreso
Bustince, H. ; Pagola, M. ; Fernández, J. ; Melo-Pinto, P. ; Couto, P. ; Tizhoosh, H.R. ; Montero, Javier | Elsevier Science BV | 2010In this paper, we define the concept of an ignorance function and use it to determine the best threshold with which to binarize an image. We introduce a method to construct such functions from t-norms and automorphisms. By means of these new mea[...]texto impreso
In this paper we study in depth certain properties of interval type 2 fuzzy sets. In particular we recall a method to construct different interval type 2 fuzzy connectives starting from an operator. We further study the law of contradiction and [...]texto impreso
We introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. Among other things, in this context we prove that there are no t-conorms, uninorms or nullnorms t[...]texto impreso
Gómez, Daniel ; Rodríguez, Juan Tinguaro ; Montero, Javier ; Bustince, H. ; Barrenechea, E. | Elsevier | 2014In this paper we introduce the definition of n-dimensional overlap functions and we justify the axiomatization proposed in its definition. Basically, these functions allow to measure the degree of overlapping of several classes in a given classi[...]texto impreso
In this paper we stress the relevance of a particular family of fuzzy sets, where each element can be viewed as the result of a classification problem. In particular, we assume that fuzzy sets are defined from a well-defined universe of objects [...]texto impreso
In this paper we address a key issue in scenario classification, where classifying concepts show a natural overlapping. In fact, overlapping needs to be evaluated whenever classes are not crisp, in order to be able to check if a certain classifi[...]texto impreso
In this work we study some properties of overlap functions from an analytical point of view. We study the relation between overlap functions and continuous t-norms. We focus on homogeneous overlap functions and we get a characterization of them.[...]
