Title :
I-fuzzy equivalence relation and I-transitive approximations
Author :
Deng, Guannan ; Jiang, Yanli
Author_Institution :
Sch. of Sci., Northeast Dianli Univ., Jilin, China
Abstract :
Fuzzy relation plays an important role in many applications. In this work, I-fuzzy equivalence relation and I-transitive approximations are studied. Firstly, the methods for judging an I-fuzzy equivalence relation are investigated. Secondly, the relationship between I-fuzzy equivalence relation and T-fuzzy equivalence relation is discussed. Finally, the I-transitive approximations of fuzzy similarity relation are defined and studied.
Keywords :
approximation theory; fuzzy set theory; I-fuzzy equivalence relation; I-transitive approximations; T-fuzzy equivalence relation; fuzzy similarity relation; Approximation methods; Cognition; Educational institutions; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Man machine systems;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
DOI :
10.1109/FSKD.2012.6233876
