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On functional equations and inequalities related to some reasoning schemes that involve fuzzy implications
Ist Teil von
Fuzzy sets and systems, 2022-08, Vol.441, p.33-57
Ort / Verlag
Elsevier B.V
Erscheinungsjahr
2022
Link zum Volltext
Quelle
Elsevier ScienceDirect Journals
Beschreibungen/Notizen
In this paper, we investigate some functional equations and inequalities which are associated with recognized reasoning schemes like hypothetical syllogism, modus ponens, modus tollens and reduction to absurdity. First, we recall facts and theorems that might be found in the literature. Next, we show some properties and relationships that take place between these equations and inequalities. Moreover, we present some of their solutions among well-known families of fuzzy implications – R-implications, (S,N)-implications and Yager's implications.