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arXiv · 1909.11184

A Note on Fuzzy Automorphism and Inner Automorphism of Groups

Shiv Narain·Sunil Kumar·Sandeep Kumar·Gaurav Mittal
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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.

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Shiv Narain, Sunil Kumar, Sandeep Kumar, Gaurav Mittal. 2019-09-20. A Note on Fuzzy Automorphism and Inner Automorphism of Groups. https://arxiv.org/abs/1909.11184

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