The purpose of this study is to extend the Fermatean fuzzy matrices to the theory of Hamacher operations. In this paper, the concept of Hamacher operations of Fermatean fuzzy matrices are introduced and some desirable properties of these operations, such as commutativity, idempotency, and monotonicity are discussed. Further, we prove DeMorgan’s laws over complement for these operations. Furthermore, the scalar multiplication and exponentiation operations of Fermatean fuzzy matrices are constructed and their algebraic properties are investigated. Finally, some properties of necessity and possibility operators of Fermatean fuzzy matrices are proved.
Hamacher Operations of Fermatean Fuzzy Matrices,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 16,
1, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol16/iss1/15