Search Results - Ordinal Sums of Conjunctive and Disjunctive Functions

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  1. 1

    Classification by ordinal sums of conjunctive and disjunctive functions for explainable AI and interpretable machine learning solutions by Hudec, Miroslav, Mináriková, Erika, Mesiar, Radko, Saranti, Anna, Holzinger, Andreas

    ISSN: 0950-7051, 1872-7409
    Published: Amsterdam Elsevier B.V 23.05.2021
    Published in Knowledge-based systems (23.05.2021)
    “…We propose a novel classification according to aggregation functions of mixed behaviour by variability in ordinal sums of conjunctive and disjunctive functions…”
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    Journal Article
  2. 2
  3. 3

    Uninorms internal on one or more non-trivial cuts by Mesiarová-Zemánková, Andrea

    ISSN: 0020-0255, 1872-6291
    Published: Elsevier Inc 01.01.2024
    Published in Information sciences (01.01.2024)
    “… In individual cases we discuss the structure of such conjunctive (disjunctive) uninorm and show that the corresponding ordinal sum contains uninorms, t-conorms, t-superconorms and generalized sub-uninorms…”
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    Journal Article
  4. 4

    On alpha-cross-migrativity of t-conorms over fuzzy implications by Fang, Bo Wen

    ISSN: 0165-0114, 1872-6801
    Published: Elsevier B.V 30.08.2023
    Published in Fuzzy sets and systems (30.08.2023)
    “…As a weaker form of the classical commuting equation, α-cross-migrativity properties between conjunctive connectives including t-norms, uninorms, and overlap functions have been extensively investigated…”
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  5. 5

    Some new results on the migrativity of uninorms over overlap and grouping functions by Zhu, Kuanyun, Wang, Jingru, Yang, Yongwei

    ISSN: 0165-0114
    Published: Elsevier B.V 20.01.2022
    Published in Fuzzy sets and systems (20.01.2022)
    “…). In addition, they obtained some equivalent characterizations of them. This paper will continue to consider the characterizations of this kind of migrativity equations by means of the ordinal sum of overlap and grouping functions…”
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  6. 6

    Characterizations for the migrativity of continuous t-conorms over fuzzy implications by Pan, Deng, Zhou, Hongjun, Yan, Xinxin

    ISSN: 0165-0114, 1872-6801
    Published: Elsevier B.V 30.03.2023
    Published in Fuzzy sets and systems (30.03.2023)
    “… The migrativity properties between conjunctive connectives as well as general aggregation functions including t-norms, uninorms, nullnorms and overlap functions have been extensively investigated. Recently, Baczyński et al. (2020) [3…”
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