A Note on Fuzzy Automorphism and Inner Automorphism of Groups
Group Theory
2024-05-20 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1909.11184,
title = {A Note on Fuzzy Automorphism and Inner Automorphism of Groups},
author = {Shiv Narain and Sunil Kumar and Sandeep Kumar and Gaurav Mittal},
journal= {arXiv preprint arXiv:1909.11184},
year = {2024}
}
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13 pages