Fermatean fuzzy matrices

Abstract

In this paper, we introduce the concept of Fermatean fuzzy matrices, which are direct extensions of an intuitionistic fuzzy matrices. Then we define some algebraic operations, such as max-min, min-max, complement, algebraic sum, algebraic product, scalar multiplication (nA) and exponentiation (Aⁿ). We also investigate their algebraic properties of these operations. Furthermore, we define two operators, namely the necessity and possibility to convert FFM into a ordinary FM and then dicuss some of their basic properties. Finally, we define a new operation(@) on Fermatean fuzzy matrices and discuss distributive laws in the case where the operations of ⊕F , ⊗F , ∧F and ∨F are combined each other.