1
Hindustan Institute of Technology and Science, Chennai, India
(janthvanet@gmail.com)
2
Hindustan Institute of Technology and Science, Chennai, India
(arajkumar@hindustanuniv.ac.in)
3
Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India
(dnrmsu2002@yahoo.com)
4
Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco;Regional Center for the Professions of Education and Training (CRMEF),Casablanca-Settat, Morocco
(broumisaid78@gmail.com)
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 – norm (union) and t – 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.
| Style | # |
|---|---|
| MLA | L.Jeromia Anthvanet, A. Rajkumar, D. Nagarajan, Broumi Said. "A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program." International Journal of Neutrosophic Science, Vol. 19, No. 2, ,PP. 42-56 (Doi : https://doi.org/10.54216/IJNS.190204) |
| APA | L.Jeromia Anthvanet, A. Rajkumar, D. Nagarajan, Broumi Said. (). A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program. Journal of International Journal of Neutrosophic Science, 19 ( 2 ), 42-56 (Doi : https://doi.org/10.54216/IJNS.190204) |
| Chicago | L.Jeromia Anthvanet, A. Rajkumar, D. Nagarajan, Broumi Said. "A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program." Journal of International Journal of Neutrosophic Science, 19 no. 2 (): 42-56 (Doi : https://doi.org/10.54216/IJNS.190204) |
| Harvard | L.Jeromia Anthvanet, A. Rajkumar, D. Nagarajan, Broumi Said. (). A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program. Journal of International Journal of Neutrosophic Science, 19 ( 2 ), 42-56 (Doi : https://doi.org/10.54216/IJNS.190204) |
| Vancouver | L.Jeromia Anthvanet, A. Rajkumar, D. Nagarajan, Broumi Said. A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program. Journal of International Journal of Neutrosophic Science, (); 19 ( 2 ): 42-56 (Doi : https://doi.org/10.54216/IJNS.190204) |
| IEEE | L.Jeromia Anthvanet, A. Rajkumar, D. Nagarajan, Broumi Said, A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 2 , () : 42-56 (Doi : https://doi.org/10.54216/IJNS.190204) |