基于模糊几何加权的区间多目标规划问题  

Interval multi-objective programming problem based on fuzzy geometric weighting method

作　　者：郭子雪[1] 郑玉蒙 李双双[1] 

机构地区：[1]河北大学管理学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2015年第3期230-235,共6页Journal of Hebei University(Natural Science Edition)

基　　金：国家社科基金资助项目(11BGL089);河北省社科基金资助项目(HB14GL076);河北省人文社科重大公关项目(ZD201439)

摘　　要：区间多目标规划问题是实际决策问题中常见的一种形式,考虑到各目标函数重要性的不同,提出了模糊几何加权法来求解区间多目标规划问题.首先给出了区间多目标规划问题的确定型转化方法,构建了与其等价的模糊几何加权单目标规划模型,定义了确定型多目标规划中各目标函数的隶属度函数,在此基础上提出了当目标函数分别取不同的权重时,非劣解以及目标函数最优值区间的求解方法,最后通过算例验证了该方法的可行性与有效性.Interval multi-objective programming problem is a common form of practical decision prob- lems. Considering the different importance of each target function, a fuzzy weighting geometric method for solving interval multi-objective programming problem is proposed. Firstly, the conversion method for de- termining the type of interval multi-objective programming problems is given out. After defining the mem- bership function of each objective function belonged to the determined muhi-objective programming prob- lems, its equivalent fuzzy weighting geometric single-objective programming model is constructed. When the weights of objective functions are different, this paper proposes a method for solving the non-inferior solution and the optimal value interval of the objective functions. Finally, an example verifies the feasibili- ty and effectiveness of the method.

关 键 词：区间多目标规划 权重 非劣解 最优值 

分 类 号：O221[理学—运筹学与控制论]