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International Journal of Neutrosophic Science
Volume 13 , Issue 1, PP: 52-60 , 2021 | Cite this article as | XML |PDF

Title

PROMTHEE Plithogenic Pythagorean Hypergraphic Approach in Smart Materials Selection

  Nivetha Martin 1 ,   Florentin Smarandache 2 ,   Said Broumi 3

1  Department of Mathematics, Arul Anandar College (Autonomous), Karumathur
    (nivetha.martin710@gmail.com)

2  Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
    (smarand@unm.edu)

3  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco
    (broumisaid78@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.130105

Received:Septembre 17, 2020 Accepted: January 08, 2021

Abstract :

 

The production sectors are optimizing its profit with the employment of smart materials at recent times and one of the challenges faced is the selection of smart materials. This article proposes a new decision-making method based on the approach of PROMTHEE plithogenic Pythagorean hypergraph. The efficiency of the proposed method is determined in the selection of smart materials that are significantly utilized in the production processes by the production sectors. In this research work, the decision making on smart material selection environment is characterized by four major influencing factors such as production processes, operational necessities, fiscal constraints and external effects with eighteen sub-factors. The main objective of this research work is to determine the core sub-factors persuading the selection of smart materials based on the five-point scale of expert’s opinion represented as Pythagorean neutrosophic number. Out of eighteen sub-factors four significant factors belonging to each of the major factors were identified by this method.  The plithogenic hypergraphs with Pythagorean representation are the extension of plithogenic hypergraphs and the novel decision - making method with the integration of PROMTHEE developed in this article will certainly benefit the decision makers on smart material selection. Comparative analysis on the criteria is also made based on Pythagorean neutrosophic sets & neutrosophic sets.

 

Keywords :

Plithogenic sets , Pythagorean Neutrosophic number , Hypergraph , PROMTHEE , Smart materials

References :

 

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Cite this Article as :
Style #
MLA Nivetha Martin, Florentin Smarandache, Said Broumi. "PROMTHEE Plithogenic Pythagorean Hypergraphic Approach in Smart Materials Selection." International Journal of Neutrosophic Science, Vol. 13, No. 1, 2021 ,PP. 52-60 (Doi   :  https://doi.org/10.54216/IJNS.130105)
APA Nivetha Martin, Florentin Smarandache, Said Broumi. (2021). PROMTHEE Plithogenic Pythagorean Hypergraphic Approach in Smart Materials Selection. Journal of International Journal of Neutrosophic Science, 13 ( 1 ), 52-60 (Doi   :  https://doi.org/10.54216/IJNS.130105)
Chicago Nivetha Martin, Florentin Smarandache, Said Broumi. "PROMTHEE Plithogenic Pythagorean Hypergraphic Approach in Smart Materials Selection." Journal of International Journal of Neutrosophic Science, 13 no. 1 (2021): 52-60 (Doi   :  https://doi.org/10.54216/IJNS.130105)
Harvard Nivetha Martin, Florentin Smarandache, Said Broumi. (2021). PROMTHEE Plithogenic Pythagorean Hypergraphic Approach in Smart Materials Selection. Journal of International Journal of Neutrosophic Science, 13 ( 1 ), 52-60 (Doi   :  https://doi.org/10.54216/IJNS.130105)
Vancouver Nivetha Martin, Florentin Smarandache, Said Broumi. PROMTHEE Plithogenic Pythagorean Hypergraphic Approach in Smart Materials Selection. Journal of International Journal of Neutrosophic Science, (2021); 13 ( 1 ): 52-60 (Doi   :  https://doi.org/10.54216/IJNS.130105)
IEEE Nivetha Martin, Florentin Smarandache, Said Broumi, PROMTHEE Plithogenic Pythagorean Hypergraphic Approach in Smart Materials Selection, Journal of International Journal of Neutrosophic Science, Vol. 13 , No. 1 , (2021) : 52-60 (Doi   :  https://doi.org/10.54216/IJNS.130105)