In this paper, first we will find the solution of the system A ∗ X ≤ b, where A, b are the known suitable matrices and X is the unknown matrix over a pseudoBoolean lattice. Then its application to find the solution of some fuzzy linear systems as well as finding the solution of the optimization problem Z = max{C∗X|A∗ X ≤ b} is discussed. Key-words: pseudo-Boolean lattice, linear programming, fu...

The aim of this study is to provide an analytical tool to select the best software providing the most customer satisfaction. The three type of softwares were examined and the most important criterias were taken into account by the customers while they were selecting their softwares. The fuzzy analytic hierarchy process was used to compare this softwares. The means of the triangular fuzzy number...

FCM (fuzzy c-means algorithm) based on Euclidean distance function converges to a local minimum of the objective function, which can only be used to detect spherical structural clusters. The added fuzzy covariance matrices in their distance measure were not directly derived from the objective function. In this paper, an improved Normalized Clustering Algorithm Based on Mahalanobis distance by t...

The concept of soft set is one of the recent topics developed for dealing with the uncertainties present in most of our real life situations. The parametrization tool of soft set theory enhance the flexibility of its applications. In this paper, we define intuitionistic fuzzy soft matrices and their operations which are more functional to make theoretical studies in the intuitionistic fuzzy sof...

In this paper, the uncertain transition matrices for inhomogeneous Markov decision processes are described by use of fuzzy sets. Introducing a ν-step contractive property, called a minorization condition, for the average case, we fined a Pareto optimal policy maximizing the average expected fuzzy rewards under some partial order. The Pareto optimal policies are characterized by maximal solution...

In this paper, a Markov decision model with uncertain transition matrices, which allow a matrix to fluctuate at each step in time, is described by the use of fuzzy sets. We find a pareto optimal policy maximizing the infinite horizon fuzzy expected discounted reward over all stationary policies under some partial order. The pareto optimal policies are characterized by maximal solutions of an op...

This paper deals with resilient robust H∞ fuzzy control problem for a class of nonlinear time-delayed systems with norm-bounded and time-varying uncertainties in the matrices of state, delayed state and control gain via state feedback controllers. Firstly, the nonlinear system is represented by Takagi-Sugeno (TS) fuzzy model. Sufficient conditions are derived for the existence of resilient robu...

In this paper, robust state feedback and observer-based fuzzy controllers are developed for uncertain T-S fuzzy systems with input delay. By using a generalized Lyapunov function and introducing a parameterized model transformation with free weighting matrices, the less conservative robust stabilization conditions are given for both state measured and state unmeasured cases, which are formulate...

In this paper we have introduced the concept of intuitionistic fuzzy soft matrix and defined different types of matrices along with some new operations in the parlance of intuitionistic fuzzy soft set theory. Then based on some of these new matrix operations a new efficient methodology named as IFSM -Algorithm has been developed to solve intuitionistic fuzzy soft set based group decision making...

Deriving the weights of criteria from the pairwise comparison matrix with fuzzy elements is investigated. In the proposed method we first convert each element of the fuzzy comparison matrix into the nearest weighted interval approximation one. Then by using the goal programming method we derive the weights of criteria. The presented method is able to find weights of fuzzy pairwise comparison ma...