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Information Journal Paper

Title

A note on divisible discrete triangular norms

Pages

  73-81

Abstract

 Triangular norms and conorms on [0, 1] as well as on nite chains are characterized by 4 independent properties, namely by the associativity, commutativity, monotonicity and neutral element being one of extremal points of the considered domain (top element for t-norms, bottom element for t-conorms). In the case of [0, 1] domain, earlier results of Mostert and Shields on I-semigroups can be used to relax the latest three properties signi cantly, once the continuity of the underlying t-norm or t-conorm is considered. The aim of this short note is to show a similar result for nite chains, we signi cantly relax 3 basic properties of t-norms and t-conorms (up to the associativity) when the divisibility of a t-norm or of a t-conorm is considered.

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    • Cite

    APA: Copy

    Kouchakinejad, F., Stupnanova, A., & Seliga, A.. (2022). A note on divisible discrete triangular norms. IRANIAN JOURNAL OF FUZZY SYSTEMS, 19(1 ), 73-81. SID. https://sid.ir/paper/414107/en

    Vancouver: Copy

    Kouchakinejad F., Stupnanova A., Seliga A.. A note on divisible discrete triangular norms. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2022;19(1 ):73-81. Available from: https://sid.ir/paper/414107/en

    IEEE: Copy

    F. Kouchakinejad, A. Stupnanova, and A. Seliga, “A note on divisible discrete triangular norms,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 19, no. 1 , pp. 73–81, 2022, [Online]. Available: https://sid.ir/paper/414107/en

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