[PDF] Top 20 On interval valued optimization problems with generalized invex functions

... world problems, the methodology for solving optimiza- tion problems has been ...solving optimization problems, namely deterministic optimization problem, stochastic optimization ... See full document

... vector optimization problems and establish the relations between both ...programming problems under the hy- pothesis of (α, ρ, ...of generalized monotonicity functions, called (α, ρ, ... See full document

... set optimization to multi-criteria calculus of varia- tions ...a generalized concept of value fuction, that gives results strikingly parallel to the scalar ... See full document

... strained optimization as a generalization of convexity. These functions were named invex by Craven ...of functions called Type I and Type II functions, which were further ... See full document

... of interval-valued univex mappings, consider optimization conditions for interval-valued univex functions for the constrained interval-valued minimization problem, ... See full document

... vector optimization involving set-valued ...set-valued optimization and investigated the necessary and sufficient optimality conditions; Sach and Craven [] proved duality theorems for ... See full document

... to interval-valued ...to interval-valued data, and then to solve a wide range of statistical problems involving interval-valued ...in interval setting. With the ... See full document

... G-convex functions, which is another generalization of convex functions, where G is a continuous real-valued increasing ...G-convex functions and invex functions, Antczak [] ... See full document

... and invex functions are not convex functions, all these results for variational-like inequalities are misleading, since these results have been obtained using the KKM mappings and diagonal ... See full document

... of invex can be seen in Definition ...an optimization problem with an interval-valued objec- tive function under the assumptions of preinvexity and weak ...of interval-valued ... See full document

... and generalized approximate convexity [22] to vector-valued ...for interval-valued vector optimization problems in terms of Stampacchia and Minty vector variational inequalities ... See full document

... of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit vector variational ... See full document

... and invex functions in di ff erent vector ...-convex functions in finite-dimensional vector ...η-invex functions in the differentiable ... See full document

... of optimization theory is penetrating into other branch of applied sciences at a rapid ...theoretical problems in which constraint depend on time and space and thus can be formulated as semi-infinite ... See full document

... Variational inequalities theory has been widely used in many fields, such as econom- ics, physics, engineering, optimization and control, transportation [1, 4]. Like convexity to mathematical programming problem ... See full document

... programming problems, and proved duality theorems under the assumptions of invex (pseudoinvex, pseudoincave) ...dual problems for the nonlinear programming problem by introducing twice differentiable ... See full document

... set-valued optimization and uncertain multi- objective ...set- valued optimization ...of problems to a more general one, but this is future work and of interest for the next steps in ... See full document

... It is well known that convex function and convexity are very important in mathemati- cal economy, probability theory, optimal control theory, and other fields of mathematics. Over the years, classical convexity has been ... See full document

... Fuzzy matrices were introduce for the first time by Thomason [42], who discussed the convergence of powers of fuzzy matrix. Ragab et al. [33,34] presented some properties of the min-max composition of fuzzy matrices. ... See full document

... bipolar interval valued fuzzy set A in X is defined as an object of the form A = { x, M(x), N(x) / xX}, where M : XD[0, 1] and N : XD[1, ...membership interval degree M(x) denotes the ... See full document