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International Journal of Neutrosophic Science
Volume 18 , Issue 4, PP: 355-374 , 2022 | Cite this article as | XML | Html |PDF


N-Cylindrical Fuzzy Neutrosophic Sets

Authors Names :   Sarannya Kumari R   1 *     Sunny Kalayathankal   2     Mathews George   3     Florentin Smarandache   4  

1  Affiliation :  Research Scholar, Catholicate College, Pattanamthitta, Kerala, India. ORCID ID-0000-0002-0050-6218

    Email :  saranya6685@gmail.com

2  Affiliation :  Principal (Professor & Dean of Research), Jyothi College of Engineering, Thrissur, Kerala,India. ORCID ID-0000-0002-0680-1031

    Email :  sunnyjoseph2014@yahoo.com

3  Affiliation :  Department of Mathematics, Providence College of Engineering, Alappuzha, Kerala, India

    Email :  mathews.g@providence.edu.in

4  Affiliation :  Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA. ORCID ID-0000-0002-5560-5926

    Email :  smarand@unm.edu

Doi   :   https://doi.org/10.54216/IJNS.180430

Received: March 30, 2022 Accepted: July 14, 2022

Abstract :

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.

Keywords :

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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Cite this Article as :
Sarannya Kumari R , Sunny Kalayathankal , Mathews George , Florentin Smarandache, N-Cylindrical Fuzzy Neutrosophic Sets, International Journal of Neutrosophic Science, Vol. 18 , No. 4 , (2022) : 355-374 (Doi   :  https://doi.org/10.54216/IJNS.180430)