Geodesic
Towards the properties of fuzzy multiplication for fuzzy numbers
Kybernetika, Tome 55 (2019) no. 1, pp. 44-62
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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.
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.
DOI : 10.14736/kyb-2019-1-0044
Classification : 03E72
Keywords: fuzzy number; semiring; fuzzy product distributivity 
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Bica, Alexandru Mihai; Fechete, Dorina; Fechete, Ioan. Towards the properties of fuzzy multiplication for fuzzy numbers. Kybernetika, Tome 55 (2019) no. 1, pp. 44-62. doi: 10.14736/kyb-2019-1-0044

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