一类模糊线性规划模型及应用  

A model for solving a class of fuzzy linear programming problems and its applications

作　　者：靳晓 邱东 JIN Xiao;QIU Dong(College of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学理学院,重庆400065

出　　处：《陕西师范大学学报（自然科学版）》2023年第2期121-129,共9页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金(12171065,11671001)。

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。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.

关 键 词：模糊数 模糊线性规划 投资问题 

分 类 号：O159[理学—数学]