Volume 18 , Issue 4 , PP: 355-374, 2022 | Cite this article as | XML | Html | PDF | Full Length Article
Sarannya Kumari R 1 * , Sunny Kalayathankal 2 , Mathews George 3 , Florentin Smarandache 4
Doi: https://doi.org/10.54216/IJNS.180430
In this paper, we introduce a new type of fuzzy Neutrosophic set called n-Cylindrical fuzzy Neutrosophic set (n-CyFNS), with I as independent neutrosophic component. The n-CyFNS can be claimed as the largest extension of fuzzy sets. In n-CyFNS, the degree of positive, neutral and negative membership functions are satisfying the condition, 0≤ βA(x) ≤1 and 0≤ αA n(x) + γAn(x) ≤ 1, n>1, is an integer. Also the distance between two n- CyFNS and its properties are also defined. Along with basic operations on n- CyFNSs, we put forward two concepts-Neutrosophic affinity degree & Neutrosophic similarity index which is used to compare and correlate n-CyFNSs respectively. A comparison is made in the n-CyFNS environment using the existing correlation measures to check its reliability.
n- Cylindrical fuzzy neutrosophic sets (n-CyFNSs), height of n-CyFNS , peak of n-CyFNS, right cylindrical fuzzy Neutrosophic set (n-RCyFNS) , neutosophic affinity degree , neutrosophic similarity index.
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