运筹与管理 ›› 2019, Vol. 28 ›› Issue (6): 25-32.DOI: 10.12005/orms.2019.0124

• 理论分析与方法探讨 • 上一篇    下一篇

多粒度语言信息的交互式多属性群决策方法及应用

袁宇翔1, 孙静春1,2   

  1. 1.西安交通大学 管理学院,陕西 西安 710049;
    2.西安交通大学 机械制造系统工程国家重点实验室,陕西 西安 710049
  • 收稿日期:2017-08-04 出版日期:2019-06-25
  • 作者简介:袁宇翔(1995-),男,江西宜春人,博士研究生,研究方向:综合评价与决策支持;孙静春(1966-),男,河北唐山人,教授,博导,研究方向:供应链管理。
  • 基金资助:
    国家自然科学基金项目(71372164)

Interactive Multi-attribute Group Decision Making with Multi-Granularity Linguistic Information and Its Application

YUAN Yu-xiang1, SUN Jing-chun1,2   

  1. 1.School of Management, Xi’an Jiaotong University, Xi’an 710049, China;
    2.State Key Laboratory for Manufacturing System Engineering, Xi’an Jiaotong University, Xi’an 710049, China
  • Received:2017-08-04 Online:2019-06-25

摘要: 针对目前多阶段交互式决策的研究多是基于点值的缺陷,以及大多数研究忽视了从多个属性对方案进行评价等不足,本文探讨了一种基于多粒度语言信息的交互式多属性群决策方法。首先基于不确定语言变量提出了多粒度语言信息的转换函数,并在给出若干假设的前提下描述了交互式多属性群决策的过程,然后提出了交互影响因子来度量决策者的“话语权”,通过稳定性指标探讨交互终止条件;接着在不确定语言变量的加权算术平均(ULWA)算子和诱导多阶段交互加权算子(I-UOWA和I-UOWGA)的基础上对偏好信息进行集结,再提出优势可能度法对方案排序。最后给出了一个物流供应商选择的案例研究。

关键词: 多粒度, 交互, 不确定语言变量, 交互影响因子, 物流供应商选择

Abstract: Currently, most of the multi-stage interactive decision research are based on point value evaluation information and most of these studies disregard the evaluation of the programs from multi-attribute. To overcome this kind of shortage, an interactive multi-attribute group decision making method is proposed in view of multi-granularity linguistic information. Firstly, the transfer function of uncertain linguistic variables is put forward and according to some assumptions the process of interactive multi-attribute group decision making is described. In the process of the interactive decision making, this paper puts forward interactive factor to measure the importance of decision maker and explore the interaction termination’s base through stability of indicator index. Moreover, the preference information is aggregated based on weighted arithmetic average(ULWA)operator of uncertain variables and induced interactive weighted operators(I-UOWA and I-UOWGA). Then the advantages possibi

Key words: multi-granularity, interaction, uncertain linguistic variables, interaction factor, logistics supplier selection

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