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New equivalence relation for the classification of fuzzy subgroups of symmetric S4
In this paper a new equivalence relation for classifying the fuzzy subgroups of finite groups is studied. Without any equivalence relation on fuzzy subgroups of group G, the number of fuzzy subgroups is infinite, even for the trivial group. The number of distinct fuzzy subgroups with respect to the...
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| Format: | Article |
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| Published: |
2018-01
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/7912 | ||
| 042 | |a dc | ||
| 720 | |a Ogiugo, M. E. |e author | ||
| 720 | |a EniOluwafe, M. |e author | ||
| 260 | |c 2018-01 | ||
| 520 | |a In this paper a new equivalence relation for classifying the fuzzy subgroups of finite groups is studied. Without any equivalence relation on fuzzy subgroups of group G, the number of fuzzy subgroups is infinite, even for the trivial group. The number of distinct fuzzy subgroups with respect to the new equivalence relation is obtained for S4. | ||
| 024 | 8 | |a 1116-4336 | |
| 024 | 8 | |a ui_art_ogiogo_new_2018 | |
| 024 | 8 | |a Transactions of the Nigerian Association of Mathematical Physics 6, pp. 168-172 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/7912 | |
| 653 | |a Fuzzy subgroups | ||
| 653 | |a Chains of subgroups | ||
| 653 | |a Fuzzy equivalence | ||
| 653 | |a Symmetric group | ||
| 245 | 0 | 0 | |a New equivalence relation for the classification of fuzzy subgroups of symmetric S4 |