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Reasonable properties for the ordering of fuzzy quantities. I. (English) Zbl 0971.03054

In the literature more than 35 tentatives of solving the problem of ordering fuzzy quantities are presented. They can be classified into three categories: using the defuzzification indices; comparision with reference quantities; based on a fuzzy relation. In this paper the first and the second category are briefly presented. A set of axioms for an ordering approach is proposed and the presented variants are analysed from the point of view of these axioms.
Reviewer: Ioan Tofan (Iaşi)

MSC:

03E72 Theory of fuzzy sets, etc.
06A99 Ordered sets
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