1Department of Mathematics, School of Science, Yaba College of Technology, Nigeria, E-mail: ekpenogiugo@gmail.com
2Department of Mathematics, University of Ibadan, Nigeria, E-mail: michael.enioluwafe@gmail.com
3Department of Mathematics, University of Lagos, Nigeria, E-mail: adesinasunday77@yahoo.com
Online published on 29 January, 2021.
One of the significant aspects of fuzzy group theory is a classification of the fuzzy subgroups of finite groups under a suitable equivalence relation. In this paper, we determine the number of distinct fuzzy subgroups of finite symmetric group S5 by the new equivalence relation introduced by Tarnauceanu. In this case, the corresponding equivalence classes of fuzzy subgroups of a group G are closely connected to the automorphism group and the chains of subgroups of G.
Equivalence Relation, Chains of Subgroups, Automorphism group
