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Which truth values in fuzzy logics are definable?

โœ Scribed by Hung T. Nguyen; Vladik Kreinovich; Antonio Di Nola

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
89 KB
Volume
18
Category
Article
ISSN
0884-8173

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โœฆ Synopsis

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, for several fuzzy logics, we describe which numbers are describing such degrees, i.e., in mathematical terms, which real numbers are definable in the corresponding fuzzy logic.

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