含等式约束的全系数模糊线性规划

曾庆宁

系统工程理论与实践 ›› 2000, Vol. 20 ›› Issue (9) : 105-109.

PDF(175 KB)
PDF(175 KB)
系统工程理论与实践 ›› 2000, Vol. 20 ›› Issue (9) : 105-109. DOI: 10.12011/1000-6788(2000)9-105
论文

含等式约束的全系数模糊线性规划

    曾庆宁
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All-Coefficient-Fuzzy Linear Programming with Equations

    Qing Ning ZENG
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文章历史 +

摘要

对全系数模糊线性规划当中具有等式约束条件的情况进行了讨论 .指出其等式约束不能象普通线性规划那样简单地转化为不等式约束条件 ,推广了不仅含有不等式约束而且含有等式约束的全系数模糊线性规划的求解方法 .同时 ,本文采用将模糊规划的最优解仍然定义成模糊集这种更为灵活和更为广泛的定义形式.

Abstract

All-coefficient-fuzzy linear programming with equations is discussed. An extending method is presented to solve the programming containing not only inequalities but also strict equations , after it is realized that the equations can not be simply converted into inequalities by the method commonly used in ordinary linear programming. A more general and more flexible definition of optimal solution is adopted in this paper, which defines the optimal solution to be still a fuzzy set.

关键词

等式 / 约束 / 模糊 / 系数 / 规划 / 最优解

Key words

equation / constrain / fuzzy / coefficient / programming / optimal solution

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导出引用
曾庆宁. 含等式约束的全系数模糊线性规划. 系统工程理论与实践, 2000, 20(9): 105-109 https://doi.org/10.12011/1000-6788(2000)9-105
Qing Ning ZENG. All-Coefficient-Fuzzy Linear Programming with Equations. Systems Engineering - Theory & Practice, 2000, 20(9): 105-109 https://doi.org/10.12011/1000-6788(2000)9-105
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