自然科学版
陕西师范大学学报(自然科学版)
模糊数学与模糊系统专题
一类模糊线性规划模型及应用
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靳晓,邱东*
(重庆邮电大学 理学院, 重庆 400065)
邱东, 男, 教授, 博士生导师, 主要从事不确定数学理论及其应用研究。 E-mail:qiudong@cqupt.edu.cn
摘要:
针对以模糊数为目标函数的模糊线性规划问题,建立了一种模糊数值目标函数的模糊线性规划新模型。该模型通过定义新的辅助函数将其转化为经典线性规划问题,再通过经典线性规划问题求解方法进行求解。与已有模型相比,该模型更具一般性,且计算简单。选用投资问题对该模型进行验证,数值算例说明了该模型在实际应用中的有效性。
关键词:
模糊数; 模糊线性规划; 投资问题
收稿日期:
2021-11-21
中图分类号:
O159
文献标识码:
A
文章编号:
1672-4291(2023)02-0121-09
基金项目:
国家自然科学基金(12171065,11671001)
Doi:
10.15983/j.cnki.jsnu.2023118
A model for solving a class of fuzzy linear programming problems and its applications
JIN Xiao, QIU Dong*
(College of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)
Abstract:
A new fuzzy linear programming model with fuzzy numerical objective function is proposed to solve the fuzzy linear programming problem with fuzzy number as objective function. The model is transformed into a classical linear programming problem by defining a new auxiliary function, and then solved by the classical linear programming problem solving method. Compared with the existing models, this model is more general and easy to calculate. An investment problem is selected to verify the model, and it shows the effectiveness of the model in practical application.
KeyWords:
fuzzy number; fuzzy linear programming; investment problems