✦ LIBER ✦
Residuated logics based on strict triangular norms with an involutive negation
✍ Scribed by Petr Cintula; Erich Peter Klement; Radko Mesiar; Mirko Navara
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 199 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
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. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)