System of linear equations is a problem that may be solved for solving many problems in various areas of applied sciences. Fuzzy methods constitute an important mathematical and computational tool for modeling real-world systems with uncertainties of parameters. The paper discusses fully fuzzy linear systems (shown as FFLS) using embedding approach to find its non-zero fuzzy number solutions. W...

System of linear equations is applied for solving many problems in various areas of applied sciences. Fuzzy methods constitute an important mathematical and computational tool for modeling real-world systems with uncertainties of parameters. In this paper, we discuss about fully fuzzy linear systems in the form b AX  (FFLS). A novel method for finding the non-zero fuzzy solutions of these syst...

In this paper optimal control problem of fuzzy linear time invariant systems is considered. Determining of system optimal input with minimizing quadratic integral criterion by using Pontryagin Minimum Principle will make the Fuzzy Partial Differential Equations [FPDEs] system solve the problem. The quality of obtaining system optimal input by solving the FPDEs system has been studied based on n...

different methods have been proposed for finding the non-negative solution of fully fuzzy linear system (ffls) i.e. fuzzy linear system with fuzzy coefficients involving fuzzy variables. to the best of our knowledge, there is no method in the literature for finding the non-negative solution of a ffls without any restriction on the coefficient matrix. in this paper a new computational method is ...

In this paper, it is shown that for a system of intuitionistic fuzzy linear equations of the form b x A = ⊗ is said to be solvable if, for a definite solution ) ; ( b A x , b b A x A = ) ; ( ⊗ holds, otherwise unsolvable. In general b b A x A ≤ ⊗ ) ; ( holds always, so taking a tolerable solution of an unsolvable system, keeping right hand side of the system constant, modification of the left h...

The paper aims to show an applicability of the algebraic approach introduced in [7,9,11,6] to solving a problem of fuzzy control. In this approach, linearly ordered term-domains of linguistic variables can be considered as linear hedges algebras (LinHAs). It is interesting that in LinHAs, a formal notion of fuzziness measure of linguistic hedges and terms can be defined in a reasonable way, bas...

In this paper, we study first order linear fuzzy differential equations with fuzzy coefficient and initial value. We use the generalized differentiability concept and apply the exponent matrix to present the general form of their solutions. Finally, one example is given to illustrate our results.

The focus of this paper is to clarify the concepts of solutions of linear equations in interval, probabilistic, and fuzzy sets setting for real world tasks. There is a fundamental difference between formal definitions of the solutions and physically meaningful concepts of solution in applied tasks, when equations have uncertain components. For instance, a formal definition of the solution in te...

In this paper, we will compare a Homotopy perturbation algorithm and Taylor series expansin method for a system of second kind Fredholm integral equations. An application of He’s homotopy perturbation method is applied to solve the system of Fredholm integral equations. Taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.