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Equivalentions over fuzzy quantities

In: Tatra Mountains Mathematical Publications, vol. 6, no. 2
Milan Mareš
Detaily:
Rok, strany: 1995, 117 - 121
O článku:
Arithmetic operations over fuzzy quantities or fuzzy numbers do not generally fulfil some of important group properties, namely those concerning the opposite (or inverse) elements. This seriously complicates the solution of equations in which some fuzzy elements appear — either as coefficients, or as variables and right-hand-sides. This lack of group properties can be overcome if some kind of equivalence between fuzzy quantities is considered instead of the strong equality. This fact can be used for solving equations with fuzzy elements. The equality can be substituted by an equivalence, which turns the equation into equivalention, and some of the arithmetic operations can be effectively applied. There exist several types of equivalences adequate to different operations (cf. [M. Mareš: Algebraic equivalences over fuzzy quantities, Kybernetika (to appear)). In this brief paper we remember only one of them, applicable to one — in fact the simples one — type of equivalentions. As mentioned in the conclusive remarks there exist theoretical tools which make our expectation concerning other types of equivalentions rather optimistic.
Ako citovať:
ISO 690:
Mareš, M. 1995. Equivalentions over fuzzy quantities. In Tatra Mountains Mathematical Publications, vol. 6, no.2, pp. 117-121. 1210-3195.

APA:
Mareš, M. (1995). Equivalentions over fuzzy quantities. Tatra Mountains Mathematical Publications, 6(2), 117-121. 1210-3195.