Title :
Interval-valued contractive fuzzy negations
Author :
Bedregal, Benjamin ; Bustince, Humberto ; Fernandez, Javier ; Deschrijver, Glad ; Mesiar, Radko
Author_Institution :
Dept. de Inf. e Mat. Aplic., Univ. Fed. do Rio Grande do Norte, Rio Grande, Brazil
Abstract :
In this work we consider the concept of contractive interval-valued fuzzy negation, as a negation such that it does not increase the length or amplitude of an interval. We relate this to the concept of Lipschitz function. In particular, we prove that the only strict (strong) contractive interval-valued fuzzy negation is the one generated from the standard (Zadeh´s) negation.
Keywords :
fuzzy set theory; Lipschitz function; interval-valued contractive fuzzy negations; standard Zadeh negation; Electronic mail; Fuzzy set theory; Fuzzy sets; Input variables; Length measurement; Upper bound;
Conference_Titel :
Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4244-6919-2
DOI :
10.1109/FUZZY.2010.5584635
