Title
Residuated logics based on strict triangular norms with an involutive negation
Abstract
In general, there is only one fuzzy logic in which the standard interpretation of the strong conjunction is a strict triangular norm, namely, the product logic. We study several equations which are satisfied by some strict t-norms and their dual t-conorms. Adding an involutive negation, these equations allow us to generate countably many logics based on strict t-norms which are different from the product logic. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Year
DOI
Venue
2006
10.1002/malq.200510032
MATHEMATICAL LOGIC QUARTERLY
Keywords
Field
DocType
fuzzy logic,involutive negation,BL-algebra,variety,triangular norm,Hamacher product
T-norm fuzzy logics,Discrete mathematics,Algebra,Negation,Fuzzy logic,Mathematics
Journal
Volume
Issue
ISSN
52
3
0942-5616
Citations 
PageRank 
References 
13
0.80
4
Authors
4
Name
Order
Citations
PageRank
Petr Cintula160150.37
Erich Peter Klement2989128.89
Radko Mesiar33778472.41
mirko navara436746.14