Lower and Upper Fuzzy Topological Subhypergroups

作     者：Irina CRISTEA Jian Ming ZHAN 

作者机构：Center for Systems and Information TechnologiesUniversity of Nova Gorica Department of MathematicsHubei University for Nationalities 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第2期

页      面：315-330页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：partially supported by Natural Innovation Term of Higher Education of Hubei Provinceof China(Grant No.T201109) 

主　　题：Hypergroup fuzzy topological space (relatively) fuzzy continuity lower (upper) fuzzytopological subhypergroup 

摘      要：This paper provides a new connection between algebraic hyperstructures and fuzzy sets. More specifically, using both properties of fuzzy topological spaces and those of fuzzy subhypergroups, we define the notions of lower （upper） fuzzy topological subhypergroups of a hypergroup endowed with a fuzzy topology. Some results concerning the image and the inverse image of a lower （upper） topological subhypergroup under a very good homomorphism of hypergroups （endowed with fuzzy topologies） are pointed out.