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A review of some methods for ranking fuzzy subsets. (English) Zbl 0567.90056
The paper consists of two parts. In the first part the authors review methods for ranking n fuzzy subsets of a number space (fuzzy numbers) well-known in the literature. This review takes into account almost all methods which have been elaborated till now. In the second part the authors report on testing these methods, giving twenty numerical examples. In these examples different forms of the membership functions of the ranked fuzzy subsets are included. This part of the paper seems to be controversial. Obviously it may be interesting for the reader how the methods formally behave in situations presented in the examples. However an ascertainment of anyting on the quality (correctness) of these methods on the basis of such an analysis seems to be controversial and risky and may lead the reader into error, because in different situations fuzzy subsets may be interpreted in a different manner and their membership functions may be variously determined. There are no established and generally obligatory rules in this respect - and this fact must be taken into account during the quality analysis of the methods.
Reviewer: S.Chanas

MSC:
90B50 Management decision making, including multiple objectives
91B08 Individual preferences
03E72 Theory of fuzzy sets, etc.
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