Title :
The connected of generalized α-major optimal solution set for multiobjective decison-making
Author :
Wanquan Yang ; Weihua Ren
Author_Institution :
Sch. of Math. & Inf. Sci., Wenzhou Univ., Wenzhou, China
Abstract :
The research on the topological structure of major efficient solution set and optimal solution set is an important research topic in the study of multi-objective optimization. In this paper, the concept and properties of generalized α - major optimal solution of infinite-dimensional multiobjective decisionmaking problem are studied. Under the condition that objective mapping is cone Hα-quasiconvex and cone Hα-bounded, the connectedness theorems of generalized α - major optimal solution set are obtained and proven for infinite-dimensional multi-objective decision-making problems.
Keywords :
convex programming; decision making; topology; cone Hα-bounded; cone Hα-quasiconvex; connectedness theorem; generalized α-major optimal solution set; infinite-dimensional multiobjective decision making problem; multiobjective optimization; objective mapping; topological structure; Writing; connectedness; eneralized α - major optimal solution set; infinite-dimensional multiobjective decision-making; quasiconvex;
Conference_Titel :
Grey Systems and Intelligent Services (GSIS), 2011 IEEE International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-61284-490-9
DOI :
10.1109/GSIS.2011.6044093
