Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6858997 | International Journal of Approximate Reasoning | 2013 | 13 Pages |
Abstract
This paper focuses on hierarchical structures of formulas in fuzzy logical systems. Basic concepts and hierarchical structures of generalized tautologies based on a class of fuzzy logical systems are discussed. The class of fuzzy logical systems contains the monoidal t-norm based system and its several important schematic extensions: the Åukasiewicz logical system, the Gödel logical system, the product logical system and the nilpotent minimum logical system. Furthermore, hierarchical structures of generalized tautologies are applied to discuss the transformation situation of tautological degrees during the procedure of fuzzy reasoning.
Keywords
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Daowu Pei, Rui Yang,