Affiliations: Department of Mathematics, Yazd University, Yazd, Iran | Department of Mathematics, Payame Noor University, Tehran, Iran
Note: [] Corresponding author. Bijan Davvaz, Department of Mathematics, Yazd University, Yazd, Iran. Tel.: +983518122711; Fax: +983518210695; E-mails: m.farshi@yahoo.com, davvaz@yazd.ac.ir
Abstract: In this paper, the notion of weak transposition Fn-hypergroups as a subclass of fuzzy transposition n-ary hypergroups (transposition Fn-hypergroups) is introduced and several properties are found and examples are presented. We show that transposition Fn-hypergroups are a generalization of F-polygroups, Fn-polygroups and join Fn-spaces. Finally, we prove that the class of Fn-polygroups and faint regular weak transposition Fn-hypergroups coincide.
