Some properties of fuzzy HX group. Issue 8 (17th November 2018)

• Record Type: Journal Article
• Authors: Onasanya, B. O.; Feng, Y.
• Is Part Of: Journal of information & optimization sciences. Volume 39:Issue 8(2018)
• Page Start: 1681
• Page End: 1692
• Publication Date: 2018-11-17
• Subjects: 20N20 -- 20N02 -- 20N25; HX group -- Subhypergroup -- Fuzzy HX subgroup -- Hypergroup -- Power group; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2017.1400749
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: In this paper, we investigate some properties of fuzzy hyperstructures generated on a group quotient by some kind of fuzzy cosets and some kind of fuzzy middle cosets. It was established that some kind of fuzzy middle coset generates the same fuzzy hyperstructures as some fuzzy cosets do. Besides, it was also established that when a group is quotient by the class of its t -level subgroups, it generates a HX group on the group.