Residuated logics based on strict triangular norms with an involutive

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Authors:
Petr Cintula
Erich P. Klement
Radko Mesiar
Mirko Navara
Title: Residuated logics based on strict triangular norms with an involutive
Journal: Mathematical Logic Quarterly
Volume 52
Number 3
Pages: 269-282
Year: 2006
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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 tnorms 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.