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基于模糊偏好信息和WGA算子的多属性决策分析
引用本文:周庆健,焦佳,杨德礼.基于模糊偏好信息和WGA算子的多属性决策分析[J].大连民族学院学报,2013,15(5):522-524,534.
作者姓名:周庆健  焦佳  杨德礼
作者单位:1. 大连理工大学管理与经济学部,辽宁大连116024;大连民族学院理学院,辽宁大连116605
2. 大连民族学院理学院,辽宁大连,116605
3. 大连理工大学管理与经济学部,辽宁大连,116024
基金项目:国家自然科学基金项目,中央高校基本科研业务费专项资金资助项目
摘    要:针对有决策者偏好信息的多属性决策问题,提出了一种基于模糊集和加权几何平均算子(WGA)的决策分析方法。应用模糊集理论,根据决策者的偏好对决策属性给出隶属函数,然后由隶属函数对决策属性进行赋权,再利用加权几何平均算子计算综合属性值进行方案集的排序与择优,最后通过实例验证了所给出方法的可行性和有效性。

关 键 词:模糊偏好信息  隶属函数  WGA算子  多属性决策

Fuzzy Preference Information and WGA Based Algorithm to Multiple Attribute Decision Making
ZHOU Qing-jian , JIAO Jia , YANG De-li.Fuzzy Preference Information and WGA Based Algorithm to Multiple Attribute Decision Making[J].Journal of Dalian Nationalities University,2013,15(5):522-524,534.
Authors:ZHOU Qing-jian  JIAO Jia  YANG De-li
Institution:ZHOU Qing- jian1'2, JIAO Jia2. , YANG De -li1 ( 1. Faculty of Management and Economics, Dalian University of Technology, Dalian Liaonng 116024, China ; 2. College of Science, Dalian Nationalities University, Dalian Liaoning 116605, China)
Abstract:In view of the multiple attribute decision making problem with decision makers' pref- erence, a fuzzy set and Weighted Geometry Averaging Algorithm (WGA) based decision analy- sis approach is proposed in this paper. Firstly, fuzzy set theory is used to get the membership function to decision attributes according to decision makers' preference. Then the attribute weighted vector is obtained based on the membership function, and the comprehensive attribute values are calculated to rank all the alternatives as well as select the best by using WGA. Final- ly, a numerical example is used to illustrate the feasibility and the validity of the approach pro- posed in the paper.
Keywords:fuzzy preference information  membership function  Weighted Geometry Averagingoperator  multiple attributes decision making
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