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不确定幂加权几何平均算子的动态多目标决策
引用本文:李光旭,彭怡,寇纲. 不确定幂加权几何平均算子的动态多目标决策[J]. 系统工程理论与实践, 2015, 35(7): 1855-1862. DOI: 10.12011/1000-6788(2015)7-1855
作者姓名:李光旭  彭怡  寇纲
作者单位:1. 电子科技大学 经济与管理学院, 成都 611731;2. 西南财经大学 工商管理学院, 成都 611130
基金项目:国家自然科学基金(71222108, 71325001, 71173028)
摘    要:针对方案属性信息不确定、决策信息分布多个阶段以及传统加权平均算子权重没有考虑集成数据间相互关系等问题,提出一种基于不确定幂加权几何平均算子的动态多目标决策方法.该方法不仅可以集结决策者在多阶段给出的不确定信息,同时结合模糊集理论,考虑了集结模糊信息时数据间的支撑程度对权重系数的影响,强化了对模糊信息的处理,使得被评估的信息更加贴近实际.然后给出基于可能度的排序方法来选择最优方案.最后通过算例分析说明了所提出方法的合理性和可行性.

关 键 词:不确定幂加权几何平均算子  动态多目标决策  熵权  可能度  
收稿时间:2014-08-29

Dynamic multiple criteria decision making method with uncertain power geometric weighted average operators
LI Guang-xu,PENG Yi,KOU Gang. Dynamic multiple criteria decision making method with uncertain power geometric weighted average operators[J]. Systems Engineering —Theory & Practice, 2015, 35(7): 1855-1862. DOI: 10.12011/1000-6788(2015)7-1855
Authors:LI Guang-xu  PENG Yi  KOU Gang
Affiliation:1. School of Management and Economics, University of Electronic Science and Technology of China, Chengdu 611731, China;2. School of Business Administration, Southwestern University of Finance and Economics, Chengdu 611130, China
Abstract:In order to consider the uncertainty information, decision information distribution of multi stages as well as the traditional weighted average operator without considering the integration among the data relationship, a dynamic multiple criteria decision making method with uncertain power geometric weighted average operators is proposed. In the method, combining the fuzzy set theory, the uncertainty information in multi stages are aggregated, and the support degree among the data relationship are also considered. Moreover, the processes of handling fuzzy evaluation information are strengthened, and the evaluated results are more close to the actual. The ranking method based on possibility degree is used to select the optimal alternative. Finally, a numerical example is introduced to illustrate the reasonability and feasibility of the proposed method.
Keywords:uncertain power geometric weighted average operators (UPGWA)  dynamic multiple criteria decision making  entropy weighting method  possibility degree
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