Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Classifying a class of the fuzzy subgroups of the alternating groups A(n)
The aim of this paper is to classify the fuzzy subgroups of the alternating group. 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 trivia...
Saved in:
| Format: | Article |
|---|---|
| Published: |
2017
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| Summary: | The aim of this paper is to classify the fuzzy subgroups of the alternating group. 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. Explicit formulae for the number of distinct fuzzy subgroup of finite alternating group are obtained in the particular case n = 5. Some inequalities satisfied by this number are also established for n≥ 5. |
|---|