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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, 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
Montero, Javier ; Bustince, H. ; Franco, C. ; Rodríguez, Juan Tinguaro ; Gómez, Daniel ; Pagola, M. ; Fernández, J. ; Barrenechea, E. | Elservier | 2016In this position paper we propose a consistent and unifying view to all those basic knowledge representation models that are based on the existence of two somehow opposite fuzzy concepts. A number of these basic models can be found in fuzzy logi[...]texto impreso
In this paper we consider aggregation operators satisfying non-decreasingness and some specific boundary conditions. We then analyze some properties of such a family of aggregation operators, introducing the semiautoduality condition, which is w[...]texto impreso
In this paper we present a method for the construction of Atanassov’s intuitionistic fuzzy S-implications that satisfy the following property: if in the intuitionistic fuzzy conditional the antecedent is equal to the consequent, then the Atanass[...]texto impreso
Bustince, H. ; Barrenechea, Edurne ; Pagola, M. ; Fernández, J. ; Orduna, R. ; Montero, Javier | Springer International Publishing | 2016In this chapter we review several properties of Atanassov’s intuitionistic fuzzy relations, recalling the main concepts related to Atanassov’s intuitionistic fuzzy relations and the main properties that can be demanded to such conepts. We also c[...]
