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On the unidimensional fuzzy equivalence relations
Author(s) -
Boixader D.
Publication year - 1999
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/(sici)1098-111x(199909)14:9<899::aid-int3>3.0.co;2-8
Subject(s) - equivalence relation , mathematics , equivalence (formal languages) , fuzzy logic , quotient algebra , fuzzy subalgebra , fuzzy number , dimension (graph theory) , relation (database) , fuzzy set , algebra over a field , pure mathematics , discrete mathematics , computer science , artificial intelligence , data mining , algebra representation
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). ©1999 John Wiley & Sons, Inc.