Mathematics and Statistics Vol. 12(1), pp. 1 - 9
DOI: 10.13189/ms.2024.120101
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Homomorphism of Neutrosophic Fuzzy Subgroup over a Finite Group

V Dhanya , M Selvarathi ^*, M Ambika
Department of Mathematics, Karunya Institute of Technology and Sciences, India

ABSTRACT

Neutrosophic fuzzy sets are an extension of fuzzy sets. Fuzzy sets can only handle vague information, and it cannot deal with incomplete and inconsistent information. But neutrosophic fuzzy sets and their combinations are one technique for handling incomplete and inconsistent information. Neutrosophic fuzzy set theory provides the groundwork for a whole group of new mathematical theories and summarizes both the traditional and fuzzy counterparts. Following this, the area of neutrosophic fuzzy sets is being developed intensively, with the goal of strengthening the foundations of the theory, creating new applications, and enhancing its practicality in a range of real-life scenarios. Further, neutrosophic fuzzy sets are characterized by three components. One is truth (), the second is indeterminacy (), and the third is falsity (). In this paper, we have examined the idea of homomorphism of implication-based () neutrosophic fuzzy subgroups over a finite group. Then, neutrosophic fuzzy subgroups over a finite group and neutrosophic fuzzy normal subgroups over a finite group were defined. Finally, we have demonstrated some basic properties of homomorphism of neutrosophic fuzzy subgroups over a finite group in this study.

KEYWORDS
Neutrosophic Fuzzy Subgroup, Neutrosophic Fuzzy Normal Subgroup, Homomorphism of Neutrosophic Fuzzy Subgroup

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] V Dhanya , M Selvarathi , M Ambika , "Homomorphism of Neutrosophic Fuzzy Subgroup over a Finite Group," Mathematics and Statistics, Vol. 12, No. 1, pp. 1 - 9, 2024. DOI: 10.13189/ms.2024.120101.

(b). APA Format:
V Dhanya , M Selvarathi , M Ambika (2024). Homomorphism of Neutrosophic Fuzzy Subgroup over a Finite Group. Mathematics and Statistics, 12(1), 1 - 9. DOI: 10.13189/ms.2024.120101.