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Averaging linguistic truth values in fuzzy approximate reasoning

✍ Scribed by L. Di Lascio; A. Gisolfi

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 125 KB
Volume: 13
Category: Article
ISSN: 0884-8173
DOI: 10.1002/(sici)1098-111x(199804)13:4<301::aid-int1>3.0.co;2-r

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✦ Synopsis

The properties of a new rule for fuzzy conditional inference are presented and discussed. The rule is based on the extended mean operator defined on fuzzy numbers. The related propositions have the form '' X is A is ,'' where is an element of the term set of the linguistic variable truth. The results obtained via the rule match with Fukami's and with the critical analysis carried out by Mizumoto and Zimmermann about the generalized modus ponens.

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In fuzzy logic, every word or phrase describing uncertainty is represented by a real number from the interval [0, 1]. There are only denumerable many words and phrases and continuum many real numbers; thus, not every real number corresponds to some common sense degree of uncertainty. In this article