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Information Journal Paper

Title

Alternative approaches to obtain t-norms and t-conorms on bounded lattices

Pages

  121-138

Abstract

triangular norms in the study of probabilistic metric spaces as a special kind of associative functions defined on the unit interval. These functions have found applications in many areas since then. In this study, we present new methods for constructing triangular norms and triangular conorms on an arbitrary Bounded lattice under some constraints. Also, we give some illustrative examples for the clarity. Finally, we show that our construction methods can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an arbitrary Bounded lattice, respectively.

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    APA: Copy

    Asici, E., & MESIAR, R.. (2020). Alternative approaches to obtain t-norms and t-conorms on bounded lattices. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(4 ), 121-138. SID. https://sid.ir/paper/381525/en

    Vancouver: Copy

    Asici E., MESIAR R.. Alternative approaches to obtain t-norms and t-conorms on bounded lattices. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(4 ):121-138. Available from: https://sid.ir/paper/381525/en

    IEEE: Copy

    E. Asici, and R. MESIAR, “Alternative approaches to obtain t-norms and t-conorms on bounded lattices,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 4 , pp. 121–138, 2020, [Online]. Available: https://sid.ir/paper/381525/en

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