On the Number of Fuzzy Subgroups of Finite Symmetric Groups
The main goal of this paper is to classify the fuzzy subgroups of the finite symmetric group S-n. Explicit formulas for the number of distinct fuzzy subgroups of S-n are obtained in the particular cases n = 3 and n = 4. Some inequalities satisfied by this number are also established for n >= 5.
fuzzy subgroups symmetric groups chains of subgroups maximal chains of subgroups recurrence relations