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Towards the properties of fuzzy multiplication for fuzzy numbers

Alexandru Mihai BicaDorina FecheteIoan Fechete — 2019

Kybernetika

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.

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