H Hedayati - Department of Basic Sciences, Babol University of Technology, Babol, Iran
R. Ameri - Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran

The aim of this note is the study of important algebraic fuzzy subsets of transposition hypergroups (noncommutative join spaces). In this regards, we first introduce the notions of fuzzy closed, fuzzy normal, fuzzy reflexive and fuzzy invertible subsets of transposition hypergroups and, then we investigate their basic properties.

Fuzzy Hypergroup, Fuzzy Closed set,Fuzzy Normal, Fuzzy Invertible, Fuzzy Reflexive