Title :
On two properties of the conditional in fuzzy logic
Author :
Trillas, Enric ; Alsina, Claudi ; García-Honrado, Itziar
Author_Institution :
Eur. Centre for Soft Comput., Mieres, Spain
Abstract :
This paper deals with the classical properties of strengthening the antecedent, and weakening the consequent in fuzzy logic. Namely, it is studied in which algebras of fuzzy sets ([0, 1]X, T, S, N), and with which conditional functions J, these two properties do hold. It should be noticed that the cases in which the first property is not valid are examples of a non-monotonic conditional´s behaviour.
Keywords :
algebra; fuzzy logic; fuzzy set theory; probabilistic logic; algebras; conditional functions; fuzzy logic; fuzzy sets; strengthening the antecedent; weakening the consequent; Boolean algebra; Cognition; Engines; Equations; Fuzzy logic; Fuzzy sets;
Conference_Titel :
Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4244-6919-2
DOI :
10.1109/FUZZY.2010.5584641
