Inverse of K Regular Super Fuzzy Matrix

Abstract

Fuzzy matrix (FM) is a rich topic in modeling uncertain situation occurred. Every FM can be visualized as a three dimensional figure, but this representation is not possible for classical matrix without any proper scaling. To overcome this problem we need a certain special classical fuzzy matrix. In this paper, the concept of inverse of k-regular fuzzy matrix is introduced and derived some basic properties of an inverse of k-regular fuzzy matrix. This leads to the characterization of a matrix for which the regularity indicator is equal. Further the connection between regular, k-regular and consistency of powers of fuzzy matrices are discussed.