Multi-attribute Grey Interval Target Decision Making Model under Partial Weight Information

Abstract

Abstract: In order to solve the multi-attribute decision making problem under the conditions that decision-making information is the interval number and the weight information is partially known, the grey target decision making model is expanded in this paper. First, the grey interval target and its bull's-eye are established, and overall values of all programs based on the criteria to maximize the weights of all the projects are optimized based on the criterion to maximize the sum of all attributes' values. Then, the two-stage method is used to find the optimal coordination vector and thus all the projects can be ranked by comparing the overall values. Finally, the effectiveness and practicality of the model is proved by real project.

Key words: multi-attribute decision making, uncertain information, grey target decision model, optimization, selection of investment schemes

摘要： 针对决策信息为区间数且部分权重信息已知的多指标决策问题,对现有的灰靶决策模型进行了拓展研究。首先建立了区间数灰靶和靶心距,并基于所有方案综合属性值最大化的准则,对各方案进行局部优化,然后采用两阶段法求出最佳协调向量,根据归一化的组合权向量计算各方案的综合属性值,并据此进行排序与决策。最后以实例验证了新模型的有效性与实用性。

关键词: 多指标决策, 不确定信息, 灰靶决策模型, 优化, 投资方案优选

CLC Number:

N941.5

PEI Ling-ling, CHEN Wan-min. Multi-attribute Grey Interval Target Decision Making Model under Partial Weight Information[J]. Operations Research and Management Science, 2013, 22(5): 134-139.

裴玲玲, 陈万明. 部分权重信息下的区间数多指标灰靶决策模型[J]. 运筹与管理, 2013, 22(5): 134-139.

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