基于模糊关系的互补松弛定理  

An FLP complementary slackness theorem based on fuzzy relationship

作　　者：刘心[1] 

机构地区：[1]东北财经大学数学与数量经济学院,辽宁大连116025

出　　处：《辽宁师范大学学报（自然科学版）》2010年第4期423-428,共6页Journal of Liaoning Normal University:Natural Science Edition

基　　金：科技部科技基础性工作专项支持创新方法领域重点任务项目(2009IM010400-1-39);辽宁省教育厅科学技术研究项目(2009S034);辽宁省教育厅创新团队项目(2008T054)

摘　　要：为完善和推广模糊线性规划对偶理论,在基于模糊关系的模糊线性规划(FLP)对偶理论的研究的基础上,分析对偶模糊线性(DFLP)最优解的概念,对经典LP对偶问题中的重要结果进行了推广.提出并推导证明了对偶模糊线性规划(DFLP)问题的对称性定理和互补松弛性定理.并举例说明该理论具有一定的应用价值,为存在于现实中的诸多模糊优化问题提供了理论基础.In order to improve and spread FLP（fuzzy linear programming） Duality Theorem,this paper introduces the definition of FLP and FLP＇s duality theorems,which is based on fuzzy relationship.It indicates that the important results of the fundamental concept and nature of the FLP duality problems and the classical LP problems can be spread in fuzzy linear programming based on fuzzy relationship;and it advances and proves the symmetry theorem and the complementary slackness theorem of DFLP,which provides the theoretical basis to a lot of fuzzy optimization issues in the reality.

关 键 词：模糊线性规划 模糊对偶 对称性定理 互补松弛定理 

分 类 号：O159[理学—数学]