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The dimension of a fuzzy equivalence relation is the minimum number of fuzzy sets needed to generate it. A general theorem is proved that characterizes unidimensional fuzzy equivalence relations. The multidimensional case is also studied under some restrictive conditions (regular fuzzy equivalence relations).
CitationBoixader, D. On the unidimensional fuzzy equivalence relations. "International journal of intelligent systems", Setembre 1999, vol. 14, núm. 9, p. 899-907.
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