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取大乘积型模糊关系几何规划
引用本文:杨吉会,曹炳元. 取大乘积型模糊关系几何规划[J]. 应用数学与计算数学学报, 2005, 19(2): 79-84
作者姓名:杨吉会  曹炳元
作者单位:1. 汕头大学数学系,汕头,515063
2. 汕头大学数学系,汕头,515063;广州大学数学与信息科学学院,广州,510006
摘    要:本文提出了一类目标函数为正项式,约束是取大乘积型模糊关系方程的优化 问题,我们在本文中阐述了取大乘积型模糊关系方程解的结构以及求解的方法,基于目标 函数中每个单项式的指数取值情况讨论了最优解,并且给出了解决此类优化问题的一个程 序,为了说明该方法的有效性给出了两个具体例子.

关 键 词:取大乘积型模糊关系方程  判别矩阵  简化矩阵  取大乘积型模糊关系几何规划
收稿时间:2004-12-27
修稿时间:2004-12-27

Geometric Programming with Max-product Fuzzy Relation Equation Constraints
Yang Jihui,Cao Bingyuan. Geometric Programming with Max-product Fuzzy Relation Equation Constraints[J]. Communication on Applied Mathematics and Computation, 2005, 19(2): 79-84
Authors:Yang Jihui  Cao Bingyuan
Abstract:An optimization model is presented with a posynomial objective function subject to a max-product fuzzy relation equations. Then the structure of solution set and its method are related about max-product fuzzy relation equations. Next the optimum solution is discussed, based on exponent of monomial among objective function, then a solution procedure is proposed. And finally, two practical examples are given for illustration purpose.
Keywords:max-product fuzzy relation equations   discriminate matrix   simplification matrix   max-product fuzzy relation geometric programming
本文献已被 CNKI 维普 万方数据 等数据库收录!
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