主客观权重集成及扩展VIKOR的多属性群决策方法

2015,51(11)1引言在多属性群决策问题中,决策专家对诸如干部考核与选拔、风险投资公司投资方案选择、住宅小区建筑设

计方案选择、信息安全风险评估等决策对象进行评价判主客观权重集成及扩展VIKOR 的多属性群决策方法

韩二东,郭鹏,赵静

HAN Erdong,GUO Peng,ZHAO Jing

西北工业大学管理学院,西安710072

School of Management,Northwestern Polytechnical University,Xi ’an 710072,China

HAN Erdong,GUO Peng,ZHAO Jing.Method for multiple attribute group decision making based on subjective-objective weight integrated and extended https://www.360docs.net/doc/8012034569.html,puter Engineering and Applications,2015,51(11):1-5.

Abstract :To deal with multi-attribute group decision making problems with multi-granularity linguistic phrases of attri-bute values and attribute weights,a method based on subjective-objective attribute weights integrated and extended Vlsekriterijumska Optimizacija I Kompromisno Resenje (VIKOR )is proposed.The multi-granularity evaluation matrices are unified into the same granularity by the basic linguistic term set,The group evaluate deviations to every attributes are calculated according to the translated linguistic decision matrixes,then the objective weights are obtained by the consisten-cy principle of group evaluation opinions,subjective weights of every attributes are calculated by using the Two-tuple Weighted Averaging (T-WAA )operator,thus,subjective weights and objective weights of attributes are concentrated into comprehensive weights.Evaluation matrixes given by all decision makers are aggregated into group evaluation matrix and its export matrix.Based on extended VIKOR method,the compromise rank result of alternatives is obtained from the group utility values,individual regret values and comprehensive evaluation values.An illustrative example analysis shows the effectiveness and feasibility of this method.

Key words :multiple attributes group decision making;two-tuple linguistic;subjective-objective weight;extended Vlsekriteri-jumska Optimizacija I Kompromisno Resenje (VIKOR )method

摘要:针对评价信息、属性权重均为不同粒度语言短语的多属性群决策问题,提出一种基于主客观权重集成及扩展多准则协调优化解(VIKOR )的多属性群决策方法。由基本语言评价集实现对多粒度语言评价矩阵的一致化,基于同一粒度的语言决策矩阵计算群体对属性的评价偏差,基于群体评价意见的一致性原则得到属性客观权重,通过二元语义加权算术平均(T-WAA )算子得到属性主观权重,从而集成主、客观权重求得属性综合权重。集结转化后的单个评价矩阵得到群体评价矩阵及其导出矩阵,由扩展VIKOR 方法,根据群效用值、个体遗憾值及综合评价值分别对方案进行排序,获得折衷方案。算例分析表明该方法的有效性与可行性。

关键词:多属性群决策;二元语义;主客观权重;扩展多准则协调优化解(VIKOR )方法

文献标志码:A 中图分类号:C934doi :10.3778/j.issn.1002-8331.1409-0030

?博士论坛?

基金项目:国家自然科学基金(No.71272049,No.71402142);高等学校博士学科点专项科研基金项目(No.20126102110052);西北

工业大学人文社科与管理研究基金项目(No.3102014RW0008)。

作者简介:韩二东(1987—),男,博士研究生,研究领域为群决策理论与方法、灰色系统理论;郭鹏(1962—),男,教授,博士生导

师,研究领域为项目风险管理、决策支持系统;赵静(1984—),女,博士,讲师,研究领域为项目风险管理及决策。E-mail :handong1987_2006@https://www.360docs.net/doc/8012034569.html,

收稿日期:2014-09-02修回日期:2014-11-04文章编号:1002-8331(2015)11-0001-05

CNKI 网络优先出版:2015-03-26,https://www.360docs.net/doc/8012034569.html,/kcms/detail/11.2127.tp.20150326.1654.002.html Computer Engineering and Applications 计算机工程与应用

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