The class of the s-transitive (resp. w-transitive) fuzzy matrices contains properly the class of the max-min transitive fuzzy matrices for which reduction models are already known. It is shown that some basic properties of these models remain valid also for s-transitive (resp. w-transitive)fuzzy matrices.

In this paper, we investigate the algebraic properties of intuitionistic fuzzy matrices under the new operations and . The properties of intuitionistic fuzzy matrices are also obtained in the case where these new operations are combined with the well known operations of intuitionistic fuzzy matrices.

In this paper, we introduce the concept of generalised inverse (ginverse) for intuitionistic fuzzy matrices (IFMs). We define minus partial ordering and studied several properties of it. Here we have shown that the minus partial ordering is a partial ordering for IFMs.

In this work, we define fuzzy soft ($fs$) matrices and theiroperations which are more functional to make theoretical studies inthe $fs$-set theory. We then define products of $fs$-matrices andstudy their properties. We finally construct a $fs$-$max$-$min$decision making method which can be successfully applied to theproblems that contain uncertainties.

in this paper, we present gauss-sidel and successive over relaxation (sor) iterative methods for finding the approximate solution system of fuzzy sylvester equations (sfse), ax + xb = c, where a and b are two m*m crisp matrices, c is an m*m fuzzy matrix and x is an m*m unknown matrix. finally, the proposed iterative methods are illustrated by solving one example.

In this article, Hamacher operations of Picture Fuzzy Matrices are proposed, which direct extensions Intuitionistic Matrices. By using these scalar multiplication and exponentiation constructed for a picture fuzzy matrix certain new relations established

Convergences of powers of controllable intuitionistic fuzzy matrices have been studied. It is shown that they oscillate with period equal to 2, in general. Some equalities and sequences of inequalities about powers of controllable intuitionistic fuzzy matrices have been obtained.

In this paper, we define the various g-inverses of an intuitionistic fuzzy matrices, left (right ) cancelable intuitionistic fuzzy matrices and derive the equivalent condition for the existence of the generalized inverses . We also study the relation between the minus-ordering and the various g–inverses of an intuitionistic fuzzy matrix.

In current PC computing environment, the fuzzy clustering method based on perturbation (FCMBP) is failed when dealing with similar matrices whose orders are higher than tens. The reason is that the traversal process adopted in FCMBP is exponential complexity. This paper treated the process of finding fuzzy equivalent matrices with smallest error from an optimization point of view and proposed a...