异构群体信息下基于后悔理论的前置仓选址模型研究

Location Selection Model of Front Distribution Center Based on Regret Theory under Heterogeneous Group Information

针对评价信息为异构数据的前置仓选址问题,本文基于后悔理论提出了面向异构信息的多属性群决策方法。首先,为了处理异构评价信息,提出了将梯形区间二型模糊数、影像模糊数和多粒度区间语言术语统一转化为区间二元语义的方法;然后,考虑到决策者的心理行为,利用后悔效用计算各前置仓备选地点与正负理想方案的距离;并以此为基础,利用TOPSIS法确定各前置仓备选地点与正理想方案的相对贴近度,以实现备选地点的排序及择优。最后,通过算例分析说明所提出方法的可行性。

With respect to location selection problems of front distribution center in which the assessment values of attributes are denoted by heterogeneous data, based on regret theory, this paper proposes a multiple attribute group decision making method with heterogeneous information. Firstly, to solve heterogeneous evaluation information, a method for transforming trapezoidal interval type-2 fuzzy number, picture fuzzy number and multi-granularity interval linguistic term into interval 2-tuple linguistic is developed. Then, considering the DMs’ psychological behavior, regret utility is used to calculate the distance between each feasible location of front distribution center and positive (negative) ideal solution, and then to determine the ranking of all feasible locations of front distribution center, the TOPSIS method is used to determine the relative coefficient degree of each location to positive ideal solution. Finally, a numerical example is provided to illustrate the feasibility of the proposed method.