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On the unidimensional fuzzy equivalence relations

Author
Boixader, D.
Type of activity
Journal article
Journal
International journal of intelligent systems
Date of publication
1999-09
Volume
14
Number
9
First page
899
Last page
907
DOI
10.1002/(SICI)1098-111X(199909)14:9<899::AID-INT3>3.0.CO;2-8
Repository
http://hdl.handle.net/2117/19169 Open in new window
URL
http://onlinelibrary.wiley.com/journal/10.1002/%28ISSN%291098-111X Open in new window
Abstract
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). The paper discusses the suitability of T-transitivity for modelling approximate equality. It explains how T-transitivity, a property suitable for modelling vagueness, can still be used to h...
Citation
Boixader, D. On the relationship between T-transitivity and approximate equality. "Fuzzy sets and systems", Gener 2003, vol. 133, núm. 2, p. 161-169.
Keywords
Approximate equality, Fuzzy T-equivalence relation, Fuzzy equality, Fuzzy relation, t-Norm
Group of research
FM&AI - Functional Mathematical Modelling and Applications

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