Pythagorean fuzzy matrix is a powerful tool for describing the vague concepts more precisely. The Pythagorean fuzzy matrix based models provide more flexibility in handling the human judgment information as compared to other fuzzy models. The objective of this paper is to apply the concept of intuitionistic fuzzy matrices to Pythagorean fuzzy matrices. In this paper, we briefly introduce the Pythagorean fuzzy matrices and some theorems and examples are applied to illustrate the performance of the proposed methods. Then we define the Hamacher scalar multiplication (n.hA) and Hamacher exponentiation (A^hn) operations on Pythagorean fuzzy matrices and investigate their algebraic properties. Furthermore, we prove some properties of necessity and possibility operators on Pythagorean fuzzy matrices.
Silambarasan, I. and Sriram, S.
Some Operations over Pythagorean Fuzzy Matrices Based on Hamacher Operations,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
1, Article 20.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss1/20