On Duality of Multiobjective Rough Convex Programming Problems

[摘要] Duality assertions are very important in optimization from the theoretical as well as from the numerical point of view. So this paper presents duality of multiobjective rough convex programming problems in rough environment when the multiobjective function is deterministic and roughness is in feasible region. Also it discussed the duality when roughness in multiobjective function and the feasible region is deterministic. The concepts and some theorems of duality in the rough environment are discussed. Also, the procedure of solution of these kind of problems described.

[关键词] Rough set;Rough function;Multiobjective rough convex programming problem;Duality