• Abstract homogeneous functions and consistently influenced/disturbed multi-expert decision making 

      Santiago, Regivan; Bedregal, Benjamin Upna Orcid; Pereira Dimuro, Graçaliz Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid; Fardoun, Habib (IEEE, 2021)   Artículo / Artikulua  OpenAccess
      In this paper we propose a new generalization for the notion of homogeneous functions. We show some properties and how it appears in some scenarios. Finally we show how this generalization can be used in order to provide ...
    • Admissible orders on fuzzy numbers 

      Zumelzu, Nicolás; Bedregal, Benjamin Upna Orcid; Mansilla, Edmundo; Bustince Sola, Humberto Upna Orcid; Díaz, Roberto (IEEE, 2022)   Artículo / Artikulua  OpenAccess
      From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this paper, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, ...
    • Aggregation of individual rankings through fusion functions: criticism and optimality analysis 

      Bustince Sola, Humberto Upna Orcid; Bedregal, Benjamin Upna Orcid; Campión Arrastia, María Jesús Upna Orcid; Silva, Ivanoska da; Fernández Fernández, Francisco Javier Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Raventós Pujol, Armajac Upna Orcid; Santiago, Regivan (IEEE, 2020)   Artículo / Artikulua  OpenAccess
      Throughout this paper, our main idea is to analyze from a theoretical and normative point of view different methods to aggregate individual rankings. To do so, first we introduce the concept of a general mean on an abstract ...
    • Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets 

      Palmeira, Eduardo S.; Bedregal, Benjamin Upna Orcid; Bustince Sola, Humberto Upna Orcid; Paternain Dallo, Daniel Upna Orcid; Miguel Turullols, Laura de Upna Orcid (Elsevier, 2018)   Artículo / Artikulua  OpenAccess
      Based on previous investigations, we have proposed two different methods to extend lattice-valued fuzzy connectives (t-norms, t-conorms, negations and implications) and other related operators, considering a generalized ...
    • Constructing interval-valued fuzzy material implication functions derived from general interval-valued grouping functions 

      Pereira Dimuro, Graçaliz; Santos, Helida; Asmus, Tiago Upna Orcid; Wieczynski, Jonata; Pinheiro, Jocivania; Bedregal, Benjamin Upna Orcid; Bustince Sola, Humberto Upna Orcid (IEEE, 2022)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      Grouping functions and their dual counterpart, overlap functions, have drawn the attention of many authors, mainly because they constitute a richer class of operators compared to other types of aggregation functions. ...
    • d-Choquet integrals: Choquet integrals based on dissimilarities 

      Bustince Sola, Humberto Upna Orcid; Mesiar, Radko; Fernández Fernández, Francisco Javier Upna Orcid; Galar Idoate, Mikel Upna Orcid; Paternain Dallo, Daniel Upna Orcid; Altalhi, A. H.; Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna Orcid; Takáč, Zdenko (Elsevier, 2020)   Artículo / Artikulua  OpenAccess
      The paper introduces a new class of functions from [0,1]n to [0,n] called d-Choquet integrals. These functions are a generalization of the 'standard' Choquet integral obtained by replacing the difference in the definition ...
    • The evolution of the notion of overlap functions 

      Bustince Sola, Humberto Upna Orcid; Mesiar, Radko; Pereira Dimuro, Graçaliz Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Bedregal, Benjamin Upna Orcid (Springer, 2021)   Capítulo de libro / Liburuen kapitulua  OpenAccess
      In this chapter we make a review of the notion of overlap function. Although originally developed in order to determine up to what extent a given element belongs to two sets, overlap functions have widely developed in the ...
    • Generalization of QL-operators based on general overlap and general grouping functions 

      Botelho, Cecilia; Galvao, Alessandra; Santos, Helida; Pinheiro, Jocivania; Bedregal, Benjamin Upna Orcid; Yamin, Adenauer; Reiser, Renata (IEEE, 2022)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      Firstly, this work discusses the main conditions guarantying that general overlap (grouping) functions can be obtained from n-dimensional overlap (grouping) functions. Focusing on QL-implications, which are usually ...
    • A historical account of types of fuzzy sets and their relationships 

      Bustince Sola, Humberto Upna Orcid; Barrenechea Tartas, Edurne Upna Orcid; Pagola Barrio, Miguel Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Xu, Zeshui; Bedregal, Benjamin Upna Orcid; Montero, Javier; Hagras, Hani; Herrera, Francisco; Baets, Bernard de (IEEE, 2016)   Artículo / Artikulua  OpenAccess
      In this work 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 ...
    • Improving the performance of fuzzy rule-based classification systems based on a nonaveraging generalization of CC-integrals named C-F1F2-integrals 

      Lucca, Giancarlo; Pereira Dimuro, Graçaliz Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid; Bedregal, Benjamin Upna Orcid; Sanz Delgado, José Antonio Upna Orcid (IEEE, 2019)   Artículo / Artikulua  OpenAccess
      A key component of fuzzy rule-based classification systems (FRBCS) is the fuzzy reasoning method (FRM) since it infers the class predicted for new examples. A crucial stage in any FRM is the way in which the information ...
    • Interval-valued Atanassov intuitionistic OWA aggregations using admissible linear orders and their application to decision making 

      Miguel Turullols, Laura de Upna Orcid; Bustince Sola, Humberto Upna Orcid; Pekala, Barbara; Bentkowska, Urszula; Silva, Ivanoska da; Bedregal, Benjamin Upna Orcid; Mesiar, Radko; Ochoa Lezaun, Gustavo Upna Orcid (IEEE, 2016)   Artículo / Artikulua  OpenAccess
      Based on the definition of admissible order for interval-valued Atanassov intuitionistic fuzzy sets, we study OWA operators in these sets distinguishing between the weights associated to the membership and those associated ...
    • The law of O-conditionality for fuzzy implications constructed from overlap and grouping functions 

      Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Sesma Sara, Mikel Upna Orcid; Pintor Borobia, Jesús María Upna Orcid; Bustince Sola, Humberto Upna Orcid (Elsevier, 2019)   Artículo / Artikulua  OpenAccess
      Overlap and grouping functions are special kinds of non necessarily associative aggregation operators proposed for many applications, mainly when the associativity property is not strongly required. The classes of overlap ...
    • N-dimensional admissibly ordered interval-valued overlap functions and its influence in interval-valued fuzzy rule-based classification systems 

      Asmus, Tiago Upna Orcid; Sanz Delgado, José Antonio Upna Orcid; Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid (IEEE, 2021)   Artículo / Artikulua  OpenAccess
      Overlap functions are a type of aggregation functions that are not required to be associative, generally used to indicate the overlapping degree between two values. They have been successfully used as a conjunction operator ...
    • On admissible orders over closed subintervals of [0,1] 

      Santana, Fagner; Bedregal, Benjamin Upna Orcid; Viana, Petrucio; Bustince Sola, Humberto Upna Orcid (Elsevier, 2020)   Artículo / Artikulua  OpenAccess
      In this paper, we make some considerations about admissible orders on the set of closed subintervals of the unit interval I[0,1], i.e. linear orders that refine the product order on intervals. We propose a new way to ...
    • On fuzzy implications derived from general overlap functions and their relation to other classes 

      Pinheiro, Jocivania; Santos, Helida; Pereira Dimuro, Graçaliz; Bedregal, Benjamin Upna Orcid; Santiago, Regivan; Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid (MDPI, 2023)   Artículo / Artikulua  OpenAccess
      There are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap/grouping ...
    • On some classes of nullnorms and h-pseudo homogeneity 

      Lima, Lucélia; Bedregal, Benjamin Upna Orcid; Rocha, Marcus; Castillo López, Aitor; Fernández Fernández, Francisco Javier Upna Orcid; Bustince Sola, Humberto Upna Orcid (Elsevier, 2022)   Artículo / Artikulua  OpenAccess
      Nullnorms are aggregation functions which generalize t-norms and t-conorms. For each nullnorm there exists an annihilator element such that, below it, the function behaves like a t-conorm, and, above it, like a t-norm. ...
    • Pre-aggregation functions: construction and an application 

      Lucca, Giancarlo; Sanz Delgado, José Antonio Upna Orcid; Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna Orcid; Mesiar, Radko; Kolesárová, Anna; Bustince Sola, Humberto Upna Orcid (IEEE, 2015)   Artículo / Artikulua  OpenAccess
      In this work we introduce the notion of preaggregation function. Such a function satisfies the same boundary conditions as an aggregation function, but, instead of requiring monotonicity, only monotonicity along some ...
    • A proposal for tuning the α parameter in CαC-integrals for application in fuzzy rule-based classification systems 

      Lucca, Giancarlo; Sanz Delgado, José Antonio Upna Orcid; Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna Orcid; Bustince Sola, Humberto Upna Orcid (Springer, 2020)   Artículo / Artikulua  OpenAccess
      In this paper, we consider the concept of extended Choquet integral generalized by a copula, called CC-integral. In particular, we adopt a CC-integral that uses a copula defined by a parameter α, which behavior was tested ...
    • Pseudo overlap functions, fuzzy implications and pseudo grouping functions with applications 

      Zhang, Xiaohong; Liang, Rong; Bustince Sola, Humberto Upna Orcid; Bedregal, Benjamin Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Li, Mengyuan; Ou, Qiqi (MDPI, 2022)   Artículo / Artikulua  OpenAccess
      Overlap and grouping functions are important aggregation operators, especially in information fusion, classification and decision-making problems. However, when we do more in-depth application research (for example, ...
    • Towards interval uncertainty propagation control in bivariate aggregation processes and the introduction of width-limited interval-valued overlap functions 

      Asmus, Tiago Upna Orcid; Pereira Dimuro, Graçaliz Upna Orcid; Bedregal, Benjamin Upna Orcid; Sanz Delgado, José Antonio Upna Orcid; Mesiar, Radko; Bustince Sola, Humberto Upna Orcid (Elsevier, 2021)   Artículo / Artikulua  OpenAccess
      Overlap functions are a class of aggregation functions that measure the overlapping degree between two values. They have been successfully applied as a fuzzy conjunction operation in several problems in which associativity ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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