基于优先模糊目标规划方法的多目标交通模型研究

摘要

This paper presents priority based fuzzy goal programming approach for solving multi-objective transportation problem with fury coefficient.In the model formulation of the problem,the membership functions for the fuzzy goals are defined first.Then the membership functions are transformed into the membership goals by assigning the highest degree(unity)of a membership function as the aspiration level and introducing the deviational variables to each of them.In the solution process,negative deviational variables are minimized to obtain the most satisficing solution.Sensitivity analysis to the solution with the change of priorities of the fuzzy goals is performed.Then the Euclidean distance function is used to identify the appropriate priority structure of the goals and thereby obtaining the most satisficing decision to the decision-making unit by minimizing their regrets of achieving the ideal-point dependent decision in the decisien-making context.A numerical example is solved to demonstrate the potential use of proposed approach.%针对具有模糊因数的多目标交通问题,提出了一种优先模糊目标规划方法.本文首先建立了模糊目标的隶属度函数,其次,将隶属度函数的最大值作为期望基准并引入了偏差变量,从而将隶属度函数转化为隶属度目标.通过最小化负偏差变量得到最满意解.对模糊目标不同优先级结构下的解进行了敏感性分析,并用欧氏距离函数确定了最佳的目标优先级结构,通过最小化后悔值达到决策区域理想点决策值,得到决策单元最满意解.最后,应用实例对本文方法进行了分析验证.