Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems
Yating Guo, Guoju Ye, Wei Liu, Dafang Zhao, Savin Treanţă
Abstract
This paper is devoted to derive optimality conditions and duality theorems for interval-valued optimization problems based on gH-symmetrically derivative. Further, the concepts of symmetric pseudo-convexity and symmetric quasi-convexity for interval-valued functions are proposed to extend above optimization conditions. Examples are also presented to illustrate corresponding results.
Topics & Concepts
ConvexityMathematicsDuality (order theory)Interval (graph theory)Class (philosophy)Strong dualityRegular polygonConvex optimizationMathematical optimizationApplied mathematicsOptimization problemConvex functionDuality gapCombinatoricsPure mathematicsDiscrete mathematicsComputer scienceEconomicsGeometryFinancial economicsArtificial intelligenceFuzzy Systems and OptimizationOptimization and Variational AnalysisMulti-Criteria Decision Making