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Classes of fuzzy sets with the same material conditional

โœ Scribed by Adolfo R. de Soto; Enric Trillas; Susana Cubillo

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
337 KB
Volume
16
Category
Article
ISSN
0888-613X

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โœฆ Synopsis

By the representation's theorem it is known that a fuzzy relation R is a preorder if and only if R = inf~ e so If, where -~ is the set of logical states of I~ In this paper it is shown how, in almost all cases, both for the t-norm Min and archimedean t-norms T, it is possible to consider that the fuzzy sets I~ are normalized. Furthermore a partial order between logical states, defined from the elemental preorders If, is studied.

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