On Certain Properties of the $\beta$-Flexible Q-Fuzzy Groups and $\beta$-Flexible Normal Q-Fuzzy Subgroups

Geethalakshmi Manickam1

1Department of General Requirements, Nizwa College of Applied Sciences, University of Technology and Applied Sciences, Sultanate of Oman.

Abstract: The main purpose of this study is to introduce the new concept of fuzzy set and $\beta$-flexible fuzzy set. Based on this, the concept of $\beta$-flexible Q-fuzzy group and $\beta$-flexible normal Q-fuzzy subgroups are given. The necessary properties related to these two concepts are discussed and proved by using these definitions. We shall also extend some new results related to this subject.
Keywords: Fuzzy set, $\beta$-flexible fuzzy subset, $\beta$-flexible Q-fuzzy subset, $\beta$-flexible Q-fuzzy group and $\beta$-flexible Q-fuzzy normal subgroups.

Cite this article as: Geethalakshmi Manickam, On Certain Properties of the $\beta$-Flexible Q-Fuzzy Groups and $\beta$-Flexible Normal Q-Fuzzy Subgroups, Int. J. Math. And Appl., vol. 10, no. 1, 2022, pp. 111-117.

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