Title :
An embedding theorem of hypersemigroups in terms of fuzzy sets
Author :
Xie, Xiang-Yun ; Wang, Lifeng
Author_Institution :
Sch. of Math. & Comput. Sci., Wuyi Univ., Jiangmen, China
Abstract :
In this paper we prove that if S is a hypersemigroup, then the set F(S) of all fuzzy subsets of S is a poe-semigroup, that is a partially ordered semigroup with the greatest element e. Furthermore, we prove that S can be embedded F(S).
Keywords :
fuzzy set theory; group theory; embedding theorem; fuzzy subsets; hypersemigroups; partially ordered semigroup; poe semigroup; Computers; Educational institutions; Electronic mail; Fuzzy sets; Fuzzy systems; Lattices; Hypersemigroups; fuzzy sets; ordered semigroups;
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.2012.6234006
