On the number of fuzzy subgroups of symmetric group S_5 [article]

M.E. Ogiugo, M. EniOluwafe
2020 arXiv   pre-print
This article computes the number of fuzzy subgroups of symmetric group S_5. First, an equivalence relation on the set of all fuzzy subgroups of a group G is defined.Without any equivalence relation on fuzzy subgroups of group G, the number of fuzzy subgroups is infinite, even for the trivial group. TheInclusion-Exclusion principle is used to determine the number of distinct fuzzy subgroups of symmetric groupS_5. Some inequalities satisfied by this number are also established for n ≥ 5.
arXiv:1706.08419v2 fatcat:vdkbt34flfgndjsc3r2ch4gaqq