Multiplication of fuzzy quantities. (English) Zbl 0786.04006
The arithmetic of fuzzy numbers is discussed in order to determine a multiplicative group of fuzzy numbers. Under rather restrictive assumptions there exists a multiplicative group of equivalence classes of fuzzy numbers. This result leads to a group of fuzzy powers of a given positive fuzzy number.
Another approach to the arithmetic of (convex) fuzzy numbers was presented by R. Goetschel and W. Voxman [Fuzzy Sets Syst. 18, 31-43 (1986; Zbl 0626.26014)].
Another approach to the arithmetic of (convex) fuzzy numbers was presented by R. Goetschel and W. Voxman [Fuzzy Sets Syst. 18, 31-43 (1986; Zbl 0626.26014)].
Reviewer: J.Drewniak (Katowice)
MSC:
| 03E72 | Theory of fuzzy sets, etc. |
| 26E50 | Fuzzy real analysis |
| 94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |
Keywords:
symmetric fuzzy number; power of fuzzy number; arithmetic of fuzzy numbers; multiplicative group of fuzzy numbersCitations:
Zbl 0626.26014References:
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