Abstract | ||
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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 |
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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 Cintula | 1 | 601 | 50.37 |
Erich Peter Klement | 2 | 989 | 128.89 |
Radko Mesiar | 3 | 3778 | 472.41 |
mirko navara | 4 | 367 | 46.14 |