In this paper, we present a solution of an arbitrary general fully fuzzy linear systems (FFLS) in the form Ã⊗ x̃ = b̃. Where coefficient matrix à is anm×n fuzzy matrix and all of this system are elements of LR type fuzzy numbers. Our method discuss a general FFLS (square or rectangle fully fuzzy linear systems with trapezoidal or triangular LR fuzzy numbers). To do this, we transform fully fuzzy ...

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...

In order to get divergence free and curl free wavelets, one introduced the smoothed pseudo spline by using the convolution method. The smoothed pseudo splines can be considered as an extension of pseudo splines. In this paper, we first show that the shifts of a smoothed pseudo spline are linearly independent. The linear independence of the shifts of a pseudo spline is a necessary and sufficient...

in this paper we study necessary and sufficient conditions for some types of linear combinations of wave packet frames to be a frame for l^2(r^d). further, we illustrate our results with some examples and applications.

In this note, we construct a pseudo-linear kind discrete operator based on the continuous and nondecreasing generator function. Then, obtain an approximation to uniformly functions through new operator. Furthermore, calculate error estimation of approach with modulus continuity The obtained results are supported by visualizing explicit example. Finally, investigate relation between operators ge...