模糊≤型的FLP对偶理论研究  

Study of Duality Theorem of Linear Programming Using Fuzzy Mathematics

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：《大连交通大学学报》2009年第6期98-101,共4页Journal of Dalian Jiaotong University

基　　金：国家社科基金资助项目(07BJY159);辽宁省教育厅创新团队资助项目(2008T054)

摘　　要：对模糊不等式型的线性规划问题的对偶理论进行了研究,给出了模糊不等式型的线性规划对偶问题的一般定义及经济解释,提出了对称型与非对称型模糊对偶问题的概念和由对称型模糊对偶规划推出非对称型模糊对偶规划情形及由非对称形推出对称形模糊对偶规划情形的方法;总结出了构成模糊对偶规划一般规则,证明了模糊不等式型的对称性对偶定理.Aiming at solving duality problems in a fuzzy mathematical perspective as well as the economical interpretation of duality theorem,a study of duality theorem with Fuzzy approach is conducted.Besides the regular duality concepts,symmetric and non-symmetric fuzzy duality definitions as well as the relationship between those two types of fuzzy dualities are discussed.

关 键 词：模糊线性规划 模糊对偶理论 对称型模糊对偶问题 非对称型模糊对偶问题 

分 类 号：O221.1[理学—运筹学与控制论]