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Algebraic equivalences over fuzzy quantities. (English) Zbl 0788.04006
The paper deals with several equivalence relations between fuzzy quantities which are based on their algebraic properties. Using these relations instead of strict equality, it is possible to guarantee the validity of group properties regarding the addition or multiplication of fuzzy numbers. The main results concern the properties of such additive and multiplicative equivalence, the algebraic consequences of their application, and the possibility of their combination.
Reviewer: M.Mareš (Praha)

##### MSC:
 3e+72 Theory of fuzzy sets, etc.
##### Keywords:
fuzzy set; algebra of fuzzy quantities; fuzzy numbers
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##### References:
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