Decomposition of Bipolar Pythagorean Fuzzy Matrices

S. Sriram; K. Sivaranjani

doi:10.26713/cma.v15i2.2739

Authors

S. Sriram Department of Mathematics, Annamalai University, Annamalainagar 608002, Tamil Nadu, India https://orcid.org/0000-0002-8535-3563 (unauthenticated)
K. Sivaranjani Department of Mathematics, Annamalai University, Annamalainagar 608002, Tamil Nadu, India https://orcid.org/0009-0001-0541-4742 (unauthenticated)

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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