Multi-criteria Decision Making Method Based on Interval Numbers of Four Parameters

Abstract

Abstract: As for the multi-criteria decision-making problems in which criteria weights and the criteria values of alternatives are both in the form of interval numbers of four parameters, a method based on aggregation operators for solving multi-criteria decision-making with interval numbers of four parameters is proposed. Firstly, the concepts regarding the interval number of four parameters, the weighed continuous interval number of four parameters OWA(WCFP-OWA)operator and the weighed continuous interval number of four parameters OWG(WCFP-OWG)operator are defined. Secondly, the criteria weights in the form of interval number of four parameters are converted into crisp data by continuous interval numbers of four parameters OWA(CFP-OWA)operator. Furthermore, the overall values of every alternative are calculated based on the WCFP-OWA operator or WCFP-OWG operator and the best alternative is chosen by ranking the values. Finally, a practical example of evaluating exploration companies illustrates the efficiency and feasibility of the proposed method.

Key words: management science and engineering, multi-criteria decision making method, WCFP-OWA operator, WCFP-OWG operator, interval number of four parameters

摘要： 针对准则权重和准则值均为四参数区间数的多准则决策问题,提出了一种基于四参数区间集结算子的多准则决策方法。首先,定义了四参数区间数以及加权的连续四参数区间数有序加权平均 (WCFP-OWA) 算子和加权的连续四参数区间数有序加权几何平均 (WCFP-OWG) 算子,并利用连续四参数区间数有序加权平均 (CFP-OWA) 算子对四参数区间数准则权重进行处理,然后利用WCFP-OWA算子和WCFP-OWG算子对四参数区间数准则值进行集成得到综合值以确定方案排序。最后将该方法应用于勘探公司的选择,验证了该方法的合理性和有效性。

关键词: 管理科学与工程, 多准则决策方法, WCFP-OWA算子, WCFP-OWG算子, 四参数区间数

CLC Number:

C934

HU Jun-hua, LIN Zeng-yu. Multi-criteria Decision Making Method Based on Interval Numbers of Four Parameters[J]. Operations Research and Management Science, 2013, 22(6): 84-91.

胡军华, 林增钰. 基于四参数区间数的多准则决策方法[J]. 运筹与管理, 2013, 22(6): 84-91.

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