A Note on Fuzzy Automorphism and Inner Automorphism of Groups
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866929347088089088 |
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| author | Narain, Shiv Kumar, Sunil Kumar, Sandeep Mittal, Gaurav |
| author_facet | Narain, Shiv Kumar, Sunil Kumar, Sandeep Mittal, Gaurav |
| contents | The fuzzification of classical set theory came into existence when Zadeh [1] laid down the concept of a fuzzy set as a generalization of a crisp set. The objective of this paper is to extend the concept of fuzzy endomorphism to fuzzy automorphism. Notions of fuzzy inner automorphism and fuzzy inner automorphism induced by a fuzzy subgroup are introduced. Finally, we obtain the fuzzy analogues of well-known results of classical group theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_11184 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A Note on Fuzzy Automorphism and Inner Automorphism of Groups Narain, Shiv Kumar, Sunil Kumar, Sandeep Mittal, Gaurav Group Theory The fuzzification of classical set theory came into existence when Zadeh [1] laid down the concept of a fuzzy set as a generalization of a crisp set. The objective of this paper is to extend the concept of fuzzy endomorphism to fuzzy automorphism. Notions of fuzzy inner automorphism and fuzzy inner automorphism induced by a fuzzy subgroup are introduced. Finally, we obtain the fuzzy analogues of well-known results of classical group theory. |
| title | A Note on Fuzzy Automorphism and Inner Automorphism of Groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/1909.11184 |