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International Journal of Neutrosophic Science
Volume 11 , Issue 1, PP: 30-38 , 2020 | Cite this article as | XML | Html |PDF

Title

Plithogenic Cubic Sets

  S.P. Priyadharshini 1 ,   F. Nirmala Irudayam 2 ,   F. Smarandache 3

1  Dept of Mathematics, Nirmala College for Women, India
    (priyadharshini125@gmail.com )

2  Dept of Mathematics, Nirmala College for Women, India
    (nirmalairudayam@ymail.com)

3  Dept. Math and Sciences, University of New Mexico, Gallup, NM, USA
    (smarand@unm.edu)


Doi   :   https://doi.org/10.54216/IJNS.0110103

Received: May 11, 2020 Accepted: August 28, 2020

Abstract :

 In this article, using the concepts of cubic set and plithogenic set, the ideas of  plithogenic fuzzy cubic set, plithogenic intuitionistic fuzzy cubic set, Plithogenic neutrosophic cubic set are introduced and its corresponding internal and external cubic sets are discussed with examples. Primary properties of the Plithogenic neutrosophic cubic sets were also discussed.This concept is extremely suitable for addressing problems involving multiple attribute decision making as this plithogenic neutrosophic set are described by four or more value of attributes and the accuracy of the result is also so precise.

 

Keywords :

 

Fuzzy set , Intuitionistic fuzzy set , Neutrosophic set , Cubic set , Plithogenic set , Plithogenic fuzzy cubic set , Plithogenic Intuitionistic fuzzy cubic set , Plithogenic neutrosophic cubic set.

 

References :

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[12] F.Smarandache, “Plithogeny, PlithogenicSet, Logic,Probability, and Statistics”, 141 pages, Pons Editions,Brussels,Belgium,2017, arXiv.org (Cornell University), Computer Science-Artificial Intelligence, 03Bxx:abstract:https://arxiv.org/abs/1808.03948,book:https://arxiv.org/ftp/arxiv/papers/1808/1808.03948.pdf,HarvardSAO/NASAADS: http://adsabs.harvard.edu/cgi-bin/bib_query?arXiv:1808.03948.

[13] Turksen, “Interval valued fuzzy sets based on normal forms”, Fuzzy sets and Systems, 20, pp.191-210,1968.

[14] B. Turksen,“ Interval-valued fuzzy sets and compensatory”  Fuzzy Sets and Systems, 51, pp.295–307,1992.

[15] I. B. Turksen, “Interval-valued strict preference with Zadeh triples”, Fuzzy Sets and Systems 78, pp.183–195,1996.

[16] Victor Christianto, Robert N. Boyd  and Florentin Smarandache “Three Possible Applications of Neutrosophic Logic in Fundamental and Applied Sciences”, International Journal of Neutrosophic Science (IJNS)Vol. 1, No. 2, pp. 90-95, 2020

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Cite this Article as :
Style #
MLA S.P. Priyadharshini , F. Nirmala Irudayam , F. Smarandache. "Plithogenic Cubic Sets." International Journal of Neutrosophic Science, Vol. 11, No. 1, 2020 ,PP. 30-38 (Doi   :  https://doi.org/10.54216/IJNS.0110103)
APA S.P. Priyadharshini , F. Nirmala Irudayam , F. Smarandache. (2020). Plithogenic Cubic Sets. Journal of International Journal of Neutrosophic Science, 11 ( 1 ), 30-38 (Doi   :  https://doi.org/10.54216/IJNS.0110103)
Chicago S.P. Priyadharshini , F. Nirmala Irudayam , F. Smarandache. "Plithogenic Cubic Sets." Journal of International Journal of Neutrosophic Science, 11 no. 1 (2020): 30-38 (Doi   :  https://doi.org/10.54216/IJNS.0110103)
Harvard S.P. Priyadharshini , F. Nirmala Irudayam , F. Smarandache. (2020). Plithogenic Cubic Sets. Journal of International Journal of Neutrosophic Science, 11 ( 1 ), 30-38 (Doi   :  https://doi.org/10.54216/IJNS.0110103)
Vancouver S.P. Priyadharshini , F. Nirmala Irudayam , F. Smarandache. Plithogenic Cubic Sets. Journal of International Journal of Neutrosophic Science, (2020); 11 ( 1 ): 30-38 (Doi   :  https://doi.org/10.54216/IJNS.0110103)
IEEE S.P. Priyadharshini, F. Nirmala Irudayam, F. Smarandache, Plithogenic Cubic Sets, Journal of International Journal of Neutrosophic Science, Vol. 11 , No. 1 , (2020) : 30-38 (Doi   :  https://doi.org/10.54216/IJNS.0110103)