Fuzzy正项几何规划的直接算法  

Direct Algorithms of Fuzzy Posynomial Geometric Programming

作　　者：曹炳元[1] 

机构地区：[1]汕头大学数学系数学研究所,广东汕头515063

出　　处：《模糊系统与数学》2001年第4期81-86,共6页Fuzzy Systems and Mathematics

基　　金：国家自然基金科学基金资助项目 (796 70 0 12 ) ;汕头大学"2 11"工程重点学科建设项目;汕头大学自然科学基金资助项目

摘　　要：将 Fuzzy正项几何规划化为一变量有上、下界限制的 Fuzzy正项几何规划 ,利用 Fuzzy几何不等式 ,又将该变量有上、下界限制的 Fuzzy正项几何规划化为单项 Fuzzy正项几何规划 ,提出基于 Fuzzy值集割平面法的两种直接算法 ,并通过一个数值例证实该方法的有效性。This paper aims at turning a fuzzy posynomial geometric programming into another one with a variable subject to upper and lower bounds. Besides, by the aid of fuzzy geometric inequality, the latter is to be changed into a single term fuzzy posynomial geometric one and, based on cutting plane method in fuzzy valued sets, two direct algorithms are advanced, by which a more general fuzzy geometric programming is solved. Finally, its effectiveness is proved by numerical examples.

关 键 词：Fuzzy正项几何规划 Fuzzy几何不等式 单项式 割平面法 直接算法 

分 类 号：O159[理学—数学]