An Operation on Intuitionistic Fuzzy Matrices

Abstract

In this paper, we defne an operation on the intuitionistic fuzzy
matrices called the Gödel implication operator as an extension to the
defnition of this operator in the case of ordinary fuzzy matrices due
to Sanchez and Hashimoto. Using this operator, we prove several
important results for intuitionistic fuzzy matrices. Particularly, some
properties concerning pre-orders, sub-inverses, and regularity . We
concentrate our discussion on the reexive and transitive matrices.
This studying enables us to give a largest sub-inverse and a largest
generalized inverse for a refexive and transitive intuitionistic fuzzy
matrix. Also, we obtain an idempotent intuitionistic fuzzy matrix
from any given one .