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Fuzzy coherence measures
Author(s) -
SanchoRoyo A.,
Verdegay J. L.
Publication year - 2005
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/int.20050
Subject(s) - coherence (philosophical gambling strategy) , negation , unit interval , fuzzy logic , extension (predicate logic) , fuzzy set , computer science , set (abstract data type) , interval (graph theory) , mathematics , artificial intelligence , discrete mathematics , statistics , combinatorics , programming language
Coherence measures are a tool to compare those fuzzy sets that are sensitive to their own similarity as well as to their fuzzy nature. Within this article we can find three generalizations made about the definition of coherence measures: a first one for any fuzzy set, a second one for any definition about strong negation, and a final one for an extension in those coherence measures that, as a result, do not cause a value in the unit interval, but a fuzzy set in that interval. Tools and properties are offered to create coherence measures. © 2005 Wiley Periodicals, Inc. Int J Int Syst 20: 1–11, 2005.