On this thesis we present the fuzzy sets, fuzzy numbers, the fractional derivative and also we discuss the solution of the first order of fuzzy hybrid equation.
On this thesis we present the fuzzy sets, fuzzy numbers, the fractional derivative and also we discuss the solution of the first order of fuzzy hybrid equation.
In this paper, we consider intuitionistic fuzzy partial functional differential equations with local and nonlocal initial conditions using the Banach fixed point theorem. A new complete intuitionistic fuzzy metric space is proposed to... more
In this paper, we consider intuitionistic fuzzy partial functional differential equations with local and nonlocal initial conditions using the Banach fixed point theorem. A new complete intuitionistic fuzzy metric space is proposed to investigate the existence and uniqueness of intuitionistic fuzzy solutions for these problems. We use the level-set representation of intuitionistic fuzzy functions and define the solution to an intuitionistic fuzzy partial functional differential equation problem through a corresponding parametric problem and further develop theoretical results on the existence and uniqueness of the solution. An example is presented to illustrate the results with some numerical simulation for α-cuts of the intuitionistic fuzzy solutions: we give the representation of the surface of intuitionistic fuzzy solutions.
Abstract: In this paper, the variational iteration method proposed by Ji-Huan He is applied to solve n-th order intuitionistic fuzzy differential equations with intuitionistic fuzzy initial conditions. Several numerical examples are given... more
Abstract: In this paper, the variational iteration method proposed by Ji-Huan He is applied to solve n-th order intuitionistic fuzzy differential equations with intuitionistic fuzzy initial conditions. Several numerical examples are given to illustrate the efficiency of the presented method.
Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S-derivative and contingent derivative. Sufficient conditions for the existence of solutions are shown for set-valued... more
Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S-derivative and contingent derivative. Sufficient conditions for the existence of solutions are shown for set-valued maps under generalized quasiconvexity assumptions.
In this paper, we give a comparison between some notions of weak sharp minima introduced in [5,15,43] for set-valued optimization problems. Besides, we establish sharp Lagrange multiplier rules for general constrained set-valued... more
In this paper, we give a comparison between some notions of weak sharp minima introduced in [5,15,43] for set-valued optimization problems. Besides, we establish sharp Lagrange multiplier rules for general constrained set-valued optimization problems involving new scalarization functionals based on the oriented distance. Moreover, we provide sufficient optimality conditions for the considered problems without any convexity assumptions.
