International Journal of Fuzzy Mathematical Archive
  • Year: 2020
  • Volume: 18
  • Issue: 1

The Explicit Formula for the Number of the Distinct Fuzzy Subgroups of the Cartesian Product of the Dihedral Group 2n with a Cyclic Group of Order Eight, where n>3

1Department of Mathematics, Faculty of Science, University of Lagos, Nigeria, E-mail: adesinasunday@yahoo.com

2Department of Mathematics, School of Science, Yaba College of Technology, Nigeria, michael.enioluwafe@gmail.com

3Department of Mathematics, Faculty of Science, University of Ibadan, Nigeria, Corresponding author. Email: ekpenogiugo@gmail.com

Online published on 29 January, 2021.

Abstract

In this paper, the explicit formulae is given for the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 2n with a cyclic group of order 8, where n >3.

Keywords

Fuzzy subgroups, Dihedral Group, Inclusion-exclusion principle, Maximal Subgroups