In this paper we examine the application of hierarchical fuzzy control and evolutionary algorithms to find closed-loop control solutions of the optimal control problem arising from semi-discretisation of a linear parabolic tracking problem with boundary control. The solution is compared with that obtained by closedloop methods based upon the variational equations of the Minimum Principle and th...

In this paper, we propose a variational multiphase image segmentation model based on fuzzy membership functions and L1-norm fidelity. Then we apply the alternating direction method of multipliers to solve an equivalent problem. All the subproblems can be solved efficiently. Specifically, we propose a fast method to calculate the fuzzy median. Experimental results and comparisons show that the L...

Abstract: In this paper, a numerical scheme based on variational iteration method is given. The proposed method is an approximate-analytical algorithm for solving a generalized non-homogeneous n-dimensional system of linear fuzzy differential equations 0 x(t) Ax Bx(t) f(t) x(0) x = + + , =   , where A and B are real n×n matrices and the initial condition 0 x is described by a vector made up o...

In this paper, by applying the abstract maximal element principle of Lin and Du, we present some new existence theorems related with critical point theorem, generalized Ekeland’s variational common (fuzzy) fixed theorem for essential distances.

The fuzzy set theory introduced by Zadeh has emerged as an interesting and fascinating branch of pure and applied sciences. The applications of fuzzy set theory can be found in many branches of regional, physical, mathematical, differential equations andengineering sciences. Recently, the authors have made important research results in the theory of fuzzy differentialequations, integrodifferent...

The paper is devoted to the study of general nonsmooth problems of cone-constrained optimization (or conic programming) important for various aspects of optimization theory and applications. Based on advanced constructions and techniques of variational analysis and generalized differentiation, we derive new necessary optimality conditions (in both " exact " and " fuzzy " forms) for nonsmooth co...

Some existence theorems for the mixed variational-like inequality for fuzzy mappings FMVLIP in a reflexive Banach space are established. Further, the auxiliary principle technique is used to suggest a novel and innovative iterative algorithm for computing the approximate solution. Consequently, not only the existence of solutions of the FMVLIP is shown, but also the convergence of iterative seq...