Open AccessTHE TRANSITIVE CLOSURE OF FUZZY RELATIONS WITH A CONTRACTION PROPERTY
Author(s) -
Yūji Yoshida
Publication year - 1995
Publication title -
bulletin of informatics and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2435-743X
pISSN - 0286-522X
DOI - 10.5109/13446
Subject(s) - transitive closure , transitive relation , mathematics , closure (psychology) , contraction (grammar) , property (philosophy) , fuzzy logic , discrete mathematics , computer science , combinatorics , artificial intelligence , economics , medicine , philosophy , epistemology , market economy
This paper analyses transitive closures of fuzzy relations on a com pact metric space with a contraction property in Kurano et al. (1992). We show that the transitive closure is a unique solution of a fuzzy rela tional equation and also has the same contraction property.
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