On some solutions of the distributivity equation

https://doi.org/10.1016/S0165-0114(98)00261-9Get rights and content

Abstract

The aim of this paper is to present some interesting results on the distributivity equation, for which several pairs of binary operations on [0, 1] are considered. Moreover, different methods to solve distributivity equations are used in this work.

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    Citation Excerpt :

    Firstly, the distributivity between t-norms and t-conorms was considered in [4,15]. Then the characterizations of distributivity for some binary operations [5] and fuzzy implications [3] were studied. In 2002, Mas et al. [30] studied the solution of distributivity involving two t-operators [31] (equivalently nullnorms [6]), a t-operator and a uninorm, and two uninorms.

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