A Note on Fuzzy Automorphism and Inner Automorphism of Groups

2019/09/20 by Narain, Shiv, Kumar, Sunil, Kumar, Sandeep +1
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1909.11184

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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