A Study on Plithogenic Fuzzy Relational Mapping and Its Application in Python Program
L.Jeromia Anthvanet1, A. Rajkumar2, D.Nagarajan3,*. Broumi Said4
1 Hindustan Institute of Technology and Science, Chennai, India
2 Hindustan Institute of Technology and Science, Chennai, India
3 Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India
4 Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
4Regional Center for the Professions of Education and Training (CRMEF),Casablanca-Settat, Morocco
Emails: janthvanet@gmail.com; arajkumar@hindustanuniv.ac.in; dnrmsu2002@yahoo.com; broumisaid78@gmail.com
Corresponding author: dnrmsu2002@yahoo.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.