Kybernetika 55 no. 1, 44-62, 2019

Towards the properties of fuzzy multiplication for fuzzy numbers

Alexandru Mihai Bica, Dorina Fechete and Ioan FecheteDOI: 10.14736/kyb-2019-1-0044

Abstract:

In this paper, by using a new representation of fuzzy numbers, namely the ecart-representation, we investigate the possibility to consider such multiplication between fuzzy numbers that is fully distributive. The algebraic and topological properties of the obtained semiring are studied making a comparison with the properties of the existing fuzzy multiplication operations. The properties of the generated fuzzy power are investigated.

Keywords:

fuzzy number, semiring, fuzzy product distributivity

Classification:

03E72

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