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Generalized CF1F2-integrals: From Choquet-like aggregation to ordered directionally monotone functions

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    SYSNO ASEP0531646
    Druh ASEPJ - Článek v odborném periodiku
    Zařazení RIVJ - Článek v odborném periodiku
    Poddruh JČlánek ve WOS
    NázevGeneralized CF1F2-integrals: From Choquet-like aggregation to ordered directionally monotone functions
    Tvůrce(i) Dimuro, G. P. (BR)
    Lucca, G. (ES)
    Bedregal, B. (BR)
    Mesiar, Radko (UTIA-B) RID, ORCID
    Sanz, A. (ES)
    Ling, S.-T. (AU)
    Bustince, H. (ES)
    Celkový počet autorů7
    Zdroj.dok.Fuzzy Sets and Systems. - : Elsevier - ISSN 0165-0114
    Roč. 378, č. 1 (2020), s. 44-67
    Poč.str.24 s.
    Forma vydáníTištěná - P
    Jazyk dok.eng - angličtina
    Země vyd.NL - Nizozemsko
    Klíč. slovaUninorm ; Fuzzy Implication ; Distributivity
    Vědní obor RIVBA - Obecná matematika
    Obor OECDApplied mathematics
    Způsob publikováníOmezený přístup
    Institucionální podporaUTIA-B - RVO:67985556
    UT WOS000495091300003
    EID SCOPUS85061115962
    DOI10.1016/j.fss.2019.01.009
    AnotaceThis paper introduces the theoretical framework for a generalization of CF1F2-integrals, a family of Choquet-like integrals used successfully in the aggregation process of the fuzzy reasoning mechanisms of fuzzy rule based classification systems. The proposed generalization, called by gCF1F2-integrals, is based on the so-called pseudo pre-aggregation function pairs (F1,F2), which are pairs of fusion functions satisfying a minimal set of requirements in order to guarantee that the gCF1F2-integrals to be either an aggregation function or just an ordered directionally increasing function satisfying the appropriate boundary conditions. We propose a dimension reduction of the input space, in order to deal with repeated elements in the input, avoiding ambiguities in the definition of gCF1F2-integrals. We study several properties of gCF1F2-integrals, considering different constraints for the functions F1 and F2, and state under which conditions gCF1F2-integrals present or not averaging behaviors. Several examples of gCF1F2-integrals are presented, considering different pseudo pre-aggregation function pairs, defined on, e.g., t-norms, overlap functions, copulas that are neither t-norms nor overlap functions and other functions that are not even pre-aggregation functions.
    PracovištěÚstav teorie informace a automatizace
    KontaktMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Rok sběru2021
    Elektronická adresahttps://www.sciencedirect.com/science/article/pii/S0165011418305451
Počet záznamů: 1