Lower and Upper Fuzzy Topological Subhypergroups  

作　　者：Irina CRISTEA Jian Ming ZHAN 

机构地区：[1]Center for Systems and Information Technologies,University of Nova Gorica [2]Department of Mathematics,Hubei University for Nationalities

出　　处：《Acta Mathematica Sinica,English Series》2013年第2期315-330,共16页数学学报（英文版）

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

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.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.

关 键 词：HYPERGROUP fuzzy topological space （relatively） fuzzy continuity lower （upper） fuzzytopological subhypergroup 

分 类 号：O189[理学—数学]