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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 19Issue 2PP: 42-56

A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program

L.Jeromia Anthvanet 1* ,
A. Rajkumar 1 ,
D. Nagarajan 2 ,
broumi said 3
1Hindustan Institute of Technology and Science, Chennai, India
2Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India
3Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco;Regional Center for the Professions of Education and Training (CRMEF),Casablanca-Settat, Morocco
* Corresponding Author.
Received: March 13, 2022 Accepted: October 18, 2022

Abstract

In this research paper, we explore the notion of Plithogenic Fuzzy Relational Mapping (PFRM) and its applications. Plithogenic Fuzzy Relational Mapping concept is utilized as a logical procedure with a defined contradiction degree to evaluate multiple attributes. A Plithogenic fuzzy relational matrix is used as the adjacency matrix. Using Plithogenic fuzzy union and intersection operators, the resultant vector is calculated. The degree of contradiction for each attribute value with the dominating attribute gives a way to better accurate results. A case study has been taken and we have implemented the newly proposed idea. Python Program has been written using the algorithm proposed and we have obtained the result as well.

Keywords

PFRM Fuzzy Relational Mapping Plithogenic Cognitive Map Plithogenic Fuzzy t &ndash norm (union) and t &ndash conorm (intersection) operators.

References

[1] R. Axelrod, Structure of Decision : The cognitive maps of political elites, Princeton University Press,

New Jersey, (1976).

[2] K. Balasangu, K. Thirusangu and V. Rajkumar Dare, A fuzzy approach on the analysis of health

hazards faced by the agricultural labourers due to chemical pollutions, Proc. Of the Indian Conference

in Intelligent System (Allied Publishers), 2007, 123 – 128.

[3] B. Kosko, Neural Networks and Fuzzy Systems: A dynamical systems approach to Machine

Intelligence, Prentice Hall Publishers, 2001,

[4] T. Pathinathan, K. Thirusangu and Mary John, On causes for school dropouts, A fuzzy approach, Acta

ciencia indica, XXXIM (4) (2005), 1279 – 1299.

[5] A. Rajkumar, A. Victor Devadoss, N. Jose Parvin Praveena, A study on miracles through the Holy Bible

using Modified Induced Fuzzy Relational Maps (MIFRM), International Journal of Computer

Applications 75(17): 33 – 39, August 2013.

[6] A. Rajkumar, Vijay Alagiri, Patnala Vijay Raja, Fuzzy Analysis on Aircraft crashes after 2015 using

Fuzzy Relational Mapping, International Journal of Pure and Applied Mathematics, Volume 120, No. 6,

2018, 1313 – 1322.

[7] A. Rajkumar, Vivek M, Aravinda Narayanan G, Selection of Agricultural Aircraft using Dodecagonal

Fuzzy Relational Mapping (DgFRM), International Journal of Pure and Applied Mathematics, Volume

120, No. 6, 2018, 1813 – 1825.

[8] P. Selvam, A. Rajkumar, Dodecagonal Fuzzy Number (DDFN), IJCTA, 2016.

[9] A. Victor Devadoss, N. Jose Parvin Praveena, A study of decision making problems using

Hexadecagonal Fuzzy Relational Maps (HDFRMS), International Journal of Pure and Applied

Mathematics. 2017.

[10] W. B. Vasantha Kandaswamy, Florentine Smarandache, Fuzzy Cognitive Map and Neutrosophic

Cognitive Map.

[11] S. Gomathy, D. Nagarajan, S. Broumi, M. Latha Maheswari. Plithogenic Sets and their application in

Decision Making, Neutrosophic Sets and Systems, Vol. 38, 2020, University of Mexico.

[12] Florentine Smarandache, Plithogenic Set, an extension of crisp set, Intuitionistic Fuzzy and

8Neutrosophic Sets, September 2018.

[13] A. Rajkumar, Jeromia Anthvanet. L, D. Ajay, Some Properties of Intuitionistic Dodecagonal Fuzzy

Number and its Application, Advances in Mathematics: Scientific Journal 9 (2020), No. 8, 6195 – 6203.

[14] Jeromia Anthvanet L, A. Rajkumar, Multi – Criteria Decision Making in Cricket using Generalized

Dodecagonal Intuitionistic Fuzzy Number, 4th International Conference on the Science and Engineering

of Materials, AIP Conference Proceedings 2282 (1), October 2020.

Cite This Article

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format_quote
Anthvanet, L.Jeromia, Rajkumar, A., Nagarajan, D., said, broumi. "A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program." International Journal of Neutrosophic Science, vol. Volume 19, no. Issue 2, , pp. 42-56. DOI: https://doi.org/10.54216/IJNS.190204
Anthvanet, L., Rajkumar, A., Nagarajan, D., said, b. (). A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program. International Journal of Neutrosophic Science, Volume 19(Issue 2), 42-56. DOI: https://doi.org/10.54216/IJNS.190204
Anthvanet, L.Jeromia, Rajkumar, A., Nagarajan, D., said, broumi. "A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program." International Journal of Neutrosophic Science Volume 19, no. Issue 2 (): 42-56. DOI: https://doi.org/10.54216/IJNS.190204
Anthvanet, L., Rajkumar, A., Nagarajan, D., said, b. () 'A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program', International Journal of Neutrosophic Science, Volume 19(Issue 2), pp. 42-56. DOI: https://doi.org/10.54216/IJNS.190204
Anthvanet L, Rajkumar A, Nagarajan D, said b. A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program. International Journal of Neutrosophic Science. ;Volume 19(Issue 2):42-56. DOI: https://doi.org/10.54216/IJNS.190204
L. Anthvanet, A. Rajkumar, D. Nagarajan, b. said, "A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program," International Journal of Neutrosophic Science, vol. Volume 19, no. Issue 2, pp. 42-56, . DOI: https://doi.org/10.54216/IJNS.190204
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