Decomposition of Bipolar Pythagorean Fuzzy Matrices

Authors

DOI:

https://doi.org/10.26713/cma.v15i2.2739

Keywords:

Intuitionistic fuzzy matrix, Bipolar pythagorean fuzzy matrix, Modal operator

Abstract

This paper presents novel findings on modal operators through the use of max-min composition, analyzing properties such as reflexivity, symmetry, transitivity, and idempotency related to necessity and possibility. It explores the necessary and sufficient conditions for transitive and \(c\)-transitive closure matrices using modal operators. Additionally, a new composition operator, labeled as `\(\wedge_{m}\)' is introduced and its algebraic properties are thoroughly discussed. The study also achieves a decomposition of a BPyFM utilizing the new composition operator and modal operators.

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Published

14-11-2024
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How to Cite

Sriram, S., & Sivaranjani, K. (2024). Decomposition of Bipolar Pythagorean Fuzzy Matrices. Communications in Mathematics and Applications, 15(2), 829–843. https://doi.org/10.26713/cma.v15i2.2739

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

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