g- Inverses of Interval Valued Fuzzy Matrices

In this paper, we have discussed the g-Inverses of Interval Valued Fuzzy Matrices (IVFM) as a generalization of g- inverses of regular fuzzy matrices. The existence and construction of g-inverses, {1, 2} inverses, {1, 3} inverses and {1, 4} inverses of Interval valued fuzzy matrix are determined in terms of the row and column spaces

Linear operators that strongly preserve regularity of fuzzy matrices

An $ntimes n$ fuzzy matrix $A$ is called {regular} if there is an $ntimes n$ fuzzy matrix $G$ such that $AGA=A$. We study the problem of characterizing those linear operators $T$ on the fuzzy matrices such that $T(X)$ is regular if and only if $X$ is. Consequently, we obtain that $T$ strongly preserves regularity of fuzzy matrices if and only if there are permutation matrices $P$ and $Q$ such that it has the form $T(X)=PXQ$ or $T(X)=PX^tQ$ for all fuzzy matrices $X$

Generalization of Picture Fuzzy Matrix

In this paper, we introduce the concept of k-regular Picture Fuzzy Matrix (PiFuM) as a generalization of regular matrix and investigate some basic properties of a k-Regular Picture Fuzzy Matrix (k-RPiFuM). Moreover we analyze the characterization of a matrix for which the regularity index and the index are identical. Furthermore the relation between regular, k-regular and regularity of powers of picture fuzzy matrices are discussed.Publisher's Versio