Title | ||
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Intuitionistic Fuzzy Tautology Definitions for the Validity of Intuitionistic Fuzzy Implications: An Experimental Study. |
Abstract | ||
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The central issue of inference validity, that guarantees the correctness of reasoning and thus that of derived knowledge, depends on the definition of both implication operator and tautology. This paper studies the modus ponens validity in the case of Intuitionistic Fuzzy logic, in an experimental framework: considering 18 classical implication operators, it shows that validity usually does not hold for the classical definition of Intuitionistic Fuzzy tautology. It proposes two alternative, more constrained, tautology definitions, studying them with the same protocol, showing they make it possible to decrease the number of invalid implication operators. |
Year | DOI | Venue |
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2014 | 10.1007/978-3-319-11313-5_17 | INTELLIGENT SYSTEMS'2014, VOL 1: MATHEMATICAL FOUNDATIONS, THEORY, ANALYSES |
Keywords | Field | DocType |
Intuitionistic Fuzzy logic,modus ponens,validity,tautology | Tautology (logic),Modus ponens,Fuzzy classification,Computer science,Inference,Correctness,Fuzzy logic,Operator (computer programming),Calculus | Conference |
Volume | ISSN | Citations |
322 | 2194-5357 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Marcin Detyniecki | 1 | 330 | 39.95 |
Marie-Jeanne Lesot | 2 | 0 | 0.34 |
Paul Moncuquet | 3 | 0 | 0.34 |