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

Title

N-Cylindrical Fuzzy Neutrosophic Sets

  Sarannya Kumari R 1 * ,   Sunny Kalayathankal 2 ,   Mathews George 3 ,   Florentin Smarandache 4

1  Research Scholar, Catholicate College, Pattanamthitta, Kerala, India. ORCID ID-0000-0002-0050-6218
    (saranya6685@gmail.com)

2  Principal (Professor & Dean of Research), Jyothi College of Engineering, Thrissur, Kerala,India. ORCID ID-0000-0002-0680-1031
    (sunnyjoseph2014@yahoo.com)

3  Department of Mathematics, Providence College of Engineering, Alappuzha, Kerala, India
    (mathews.g@providence.edu.in)

4  Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA. ORCID ID-0000-0002-5560-5926
    (smarand@unm.edu)

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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 :
Style #
MLA Sarannya Kumari R, Sunny Kalayathankal, Mathews George, Florentin Smarandache. "N-Cylindrical Fuzzy Neutrosophic Sets." International Journal of Neutrosophic Science, Vol. 18, No. 4, 2022 ,PP. 355-374 (Doi   :  https://doi.org/10.54216/IJNS.180430)
APA Sarannya Kumari R, Sunny Kalayathankal, Mathews George, Florentin Smarandache. (2022). N-Cylindrical Fuzzy Neutrosophic Sets. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 355-374 (Doi   :  https://doi.org/10.54216/IJNS.180430)
Chicago Sarannya Kumari R, Sunny Kalayathankal, Mathews George, Florentin Smarandache. "N-Cylindrical Fuzzy Neutrosophic Sets." Journal of International Journal of Neutrosophic Science, 18 no. 4 (2022): 355-374 (Doi   :  https://doi.org/10.54216/IJNS.180430)
Harvard Sarannya Kumari R, Sunny Kalayathankal, Mathews George, Florentin Smarandache. (2022). N-Cylindrical Fuzzy Neutrosophic Sets. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 355-374 (Doi   :  https://doi.org/10.54216/IJNS.180430)
Vancouver Sarannya Kumari R, Sunny Kalayathankal, Mathews George, Florentin Smarandache. N-Cylindrical Fuzzy Neutrosophic Sets. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 4 ): 355-374 (Doi   :  https://doi.org/10.54216/IJNS.180430)
IEEE Sarannya Kumari R, Sunny Kalayathankal, Mathews George, Florentin Smarandache, N-Cylindrical Fuzzy Neutrosophic Sets, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 4 , (2022) : 355-374 (Doi   :  https://doi.org/10.54216/IJNS.180430)
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