Journal of applied mathematics & informatics
- Volume 22 Issue 1_2
- /
- Pages.181-191
- /
- 2006
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
THE SADDLE THEOREM FOR MULTIOBJECTIVE GENERALIZED FRACTIONAL PROGRAMMING PROBLEMS WITH SET FUNCTIONS
- Liu San-Ming (Department of Mathematics and Physics, Jiangsu University of Science and Technology, Department of Applied Mathematics, Dalian University of Technology) ;
- Feng En-Min (Department of Applied Mathematics, Dalian University of Technology)
- Published : 2006.09.01
Abstract
In this paper, multiobjective generalized fractional programming problems with set functions are considered, in which objective functions are maximum of finite fractional set functions. At first, optimality conditions are established. Then, saddle existence theorem is proved.
Keywords
- Set functions;
- multiobjective generalized fractional programming problems;
- efficient solution;
- Geoffrion properly efficient solution;
- optimality conditions;
- saddle theorem