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Similarity relations, fuzzy partitions, and fuzzy orderings. (English) Zbl 0725.04003

Fuzzy relations form a basic and important concept in fuzzy set theory, which was introduced by Zadeh in his very first paper on fuzzy sets. The author of the present paper discusses in detail fuzzy relations, especially fuzzy similarity relations. Then he studies fuzzy partitions and fuzzy orderings. The results on fuzzy orderings in this paper are interesting and they will have many fields of applications as fuzzy clustering, fuzzy decision-making, fuzzy games, and the fundamentals of fuzzy functions.

MSC:

03E72 Theory of fuzzy sets, etc.
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