Optimality conditions for fuzzy optimization problems under granular convexity concept
Jianke Zhang, Xiaoyi Chen, Lifeng Li, Xiaojue Ma
Abstract
In this paper, under the condition of granular differentiation, we consider the fuzzy optimization problems with the general fuzzy function as the objective function. Firstly, we introduce the concept of granular convexity, and propose the properties of the granular convex fuzzy functions. Secondly, we present the Karush-Kuhn-Tucker type optimality conditions of the fuzzy relative optimal solution of more general fuzzy programming problems and some test examples. Finally, the relationships between a class of variational inequalities and the fuzzy optimization problems are established.
Topics & Concepts
MathematicsConvexityMathematical optimizationFuzzy logicFuzzy numberClass (philosophy)Convex optimizationFuzzy mathematicsFuzzy transportationFuzzy set operationsFuzzy setRegular polygonComputer scienceArtificial intelligenceEconomicsFinancial economicsGeometryFuzzy Systems and OptimizationMulti-Criteria Decision MakingOptimization and Variational Analysis