Premium
Which truth values in fuzzy logics are definable?
Author(s) -
Nguyen Hung T.,
Kreinovich Vladik,
Di Nola Antonio
Publication year - 2003
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.10131
Subject(s) - fuzzy number , mathematics , countable set , fuzzy logic , truth value , discrete mathematics , phrase , real number , interval (graph theory) , artificial intelligence , computer science , algorithm , fuzzy set , combinatorics , programming language
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. © 2003 Wiley Periodicals, Inc.