Mathematics and Statistics Vol. 12(1), pp. 41 - 47
DOI: 10.13189/ms.2024.120106
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Complex Neutrosophic Fuzzy Set

V. Kalaiyarasan , K. Muthunagai ^*
School of Advanced Sciences, Vellore Institute of Technology, India

ABSTRACT

Complex number system is an extension of the real number system which came into existence during the attempts to find a solution for cubic equations. A set characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one is called a Fuzzy set. A new development of Fuzzy system is a Complex Fuzzy system in which the membership function is complex- valued and the range of which is represented by the unit disk. The fuzzy similarity measure helps us to find the closeness among the Fuzzy sets. Due to the wide range of applications to various fields, Fuzzy Multi Criteria Decision Making (FMCDM) has gained its importance in Fuzzy set theory. A combination of Complex Fuzzy set, Fuzzy similarity measure and Fuzzy Multi Criteria Decision Making has resulted in this research contribution. In this article, we have introduced and investigated Complex neutrosophic fuzzy set, which involves complex- valued neutrosophic component. We have discussed two real life examples, one on selecting the best variety of a seed that gives the maximum yield and profit in a short period of time and another on choosing the best company to invest. Similarity measure between Complex neutrosophic fuzzy sets has been used to take a decision.

KEYWORDS
Complex Fuzzy Set, Complex Intuitionistic Fuzzy Set, Complex Neutrosophic Set, Complex Neutrosophic Fuzzy Set

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] V. Kalaiyarasan , K. Muthunagai , "Complex Neutrosophic Fuzzy Set," Mathematics and Statistics, Vol. 12, No. 1, pp. 41 - 47, 2024. DOI: 10.13189/ms.2024.120106.

(b). APA Format:
V. Kalaiyarasan , K. Muthunagai (2024). Complex Neutrosophic Fuzzy Set. Mathematics and Statistics, 12(1), 41 - 47. DOI: 10.13189/ms.2024.120106.