Preface Algebraic models and MV-algebras for fuzzy reasoning

✍ Scribed by A. Gisolfi; S. Sessa

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 55 KB
• Volume: 18
• Category: Article
• ISSN: 0888-613X
• DOI: 10.1016/s0888-613x(98)00002-4

✦ Synopsis

Preface Algebraic models and MV-algebras for fuzzy reasoning

This special issue moves from the last trends of mathematical research in fuzzy logic from its unlimited ground of applications, especially in the field of many-valued reasoning. It is well known that fuzzy logic is the logic of the "vague" concepts; its enormous success stands principally in the applicational aspects, minor progress must be noted in its mathematical fundaments. Since 1986 the MV-Algebras of the sentential calculus of Lukasiewicz seems to be a powerful tool to develop a serious well-founded algebraic calculus of fuzzy set theory, just like Boolean algebras do for classical set theory. The collection of papers here presented covers a wide spectrum of applications of these algebras to the fuzzy set theory and conversely, that is usual topics dealt in fuzzy environment are read from an "MV-point of view". This is possible because the usual fuzzy algebra [0,1] x of the fuzzy set from a referential set X into [0,1] is seen as an MV-algebra. Then popular fuzzy arguments like triangular norms, fuzzy probability, fuzzy inference, etc. find a better logical collocation in this new context and of course are redefined and rediscussed. The papers of