Vague and fuzzy t-norms and t-conorms
Visualitza/Obre
Cita com:
hdl:2117/365019
Tipus de documentArticle
Data publicació2021-01-01
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
t-norms and t-conorms are the natural connectives “and” and “or” in fuzzy logic. The unit interval with a t-norm or a t-conorm is a special monoid and some submonoids like discrete t-norms and t-conorms have been proved useful in many cases. In the first part of this article these submonoids will be fuzzified to fuzzy t-subnorms and fuzzy t-subconorms in order to deal with imprecision. As particular examples we will provide fuzzifications of the classical and the Lukasiewicz three-valued conjunctions. The second part of the article will define and study vague t-norms and t-conorms as fuzzy operations where is the degree in which z is ( respectively) where T (S) is a t-norm (t-conorm).
CitacióBoixader, D.; Recasens, J. Vague and fuzzy t-norms and t-conorms. "Fuzzy sets and systems", 1 Gener 2021, vol. 433, p. 156-175.
ISSN0165-0114
Versió de l'editorhttps://www.sciencedirect.com/science/article/abs/pii/S0165011421002487
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fuzzy_t_norms.pdf | 228,7Kb | Visualitza/Obre |