[1]毛小兵,吴 敏,商 娜.基于概率语言相关系数的多属性群决策模型[J].江西师范大学学报(自然科学版),2018,(03):267-274.[doi:10.16357/j.cnki.issn1000-5862.2018.03.09]
　MAO Xiaobing,WU Min,SHANG Na.The Multi-Attribute Group Decision Making Model Based on Probabilistic Linguistic Correlation Coefficient[J].Journal of Jiangxi Normal University:Natural Science Edition,2018,(03):267-274.[doi:10.16357/j.cnki.issn1000-5862.2018.03.09]
点击复制

基于概率语言相关系数的多属性群决策模型()
分享到：

《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2018年03期
页码:
267-274
栏目:
数学与应用数学
出版日期:
2018-06-20

文章信息/Info

Title:
The Multi-Attribute Group Decision Making Model Based on Probabilistic Linguistic Correlation Coefficient
文章编号:
1000-5862(2018)03-0267-08
作者:
毛小兵; 吴 敏; 商 娜
江西财经大学信息管理学院,江西 南昌 330013
Author(s):
MAO Xiaobing; WU Min; SHANG Na
College of Information Management,Jiangxi University of Finance and Economics,Nanchang Jiangxi 330013,China
关键词:
多属性群决策;  概率语言术语集;  概率语言相关系数;  ELECTRE
Keywords:
multi-attribute group decision-making;  probabilistic linguistic term set;  probabilistic linguistic correlation coefficient;  ELECTRE
分类号:
C 934
DOI:
10.16357/j.cnki.issn1000-5862.2018.03.09
文献标志码:
A
摘要:
针对评价信息为概率语言术语集,专家权重和属性权重完全未知的多属性群决策问题,提出基于概率语言相关系数的多属性群决策模型.首先定义了概率语言的相关系数并且拓展到概率语言矩阵间的相关系数; 然后基于每个专家的决策矩阵,通过最小化加权相关系数总和求得每个专家的属性权重向量,并且通过决策矩阵的相关系数客观地确定专家权重; 最后将经典的ELECTRE方法加以改进用于方案排序,并且通过算例分析与比较分析证明了该决策方法的有效性与优越性.
Abstract:
To solve the multi-attribute group decision making problem with probabilistic linguistic evaluation information,in which the decision makers'(DMs')weights and the attribute weights are completely unknown,a multi-attribute group decision making model based on probabilistic linguistic correlation coefficient is proposed.Firstly,probabilistic linguistic correlation coefficient of PLTSs is defined and extended to probabilistic linguistic matrices.Then based on the decision matrices of DMs,the attribute weights of each DM are obtained by minimizing the sum of weighted correlation coefficients of PLTSs.Further,DNMs' weights are determined objectively by computing the correlation coefficient of probabilistic linguistic matrices.Finally,the classical ELECTRE method is improved and used for ranking alternatives.Moreover,the case study and comparative analysis are conducted to show the effectiveness and advantages of the proposed method.

参考文献/References:

[1] Zadeh L A.Outline of a new approach to the analysis of complex systems and decision processes [J].IEEE Transactions on Systems Man and Cybernetics,1973,3(1):28-44.
[2] Xu Zeshui.Linguistic decision making:theory and methods [M].Berlin:Springer-Verlag,2012:15-85.
[3] Rodriguez R M,Martinez L,Herrera F.Hesitant fuzzy linguistic term sets for decision making [J].IEEE Transactions on Fuzzy Systems,2012,20(1):109-119.
[4] Liao Huchang,Xu Zeshui,Zeng Xiaojun.Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets [J].Knowledge-Based Systems,2015,76(1):127-138.
[5] Liao Huchang,Xu Zeshui,Herrera-Viedma E,et al.Hesitant fuzzy linguistic term set and its application in decision making:a state-of-the-art survey [J].International Journal of Fuzzy Systems,2017(12):1-27.
[6] Pang Qi,Wang Hai,Xu Zeshui.Probabilistic linguistic term sets in multi-attribute group decision making [J].Information Sciences,2016,369:128-143.
[7] Gou Xunjie,Xu Zeshui.Novel basic operational laws for linguistic terms,hesitant fuzzy linguistic term sets and probabilistic linguistic term sets [J].Information Sciences,2016,372:407-427.
[8] Zhang Yixin,Xu Zeshui,Wang Hai,et al.Consistency-based risk assessment with probabilistic linguistic preference relation [J].Applied Soft Computing,2016,49:817-833.
[9] Bai Chengzu,Zhang Ren,Qian Longxia,et al.Comparisons of probabilistic linguistic term sets for multi-criteria decision making [J].Knowledge-Based Systems,2016,119(C):284-291.
[10] Zhang Yixin,Xu Zeshui,Liao Huchang.A consensus process for group decision making with probabilistic linguistic preference relations [J].Information Sciences,2017,414:260-275.
[11] Liao Huchang,Jiang Lisheng,Xu Zeshui,et al.A linear programming method for multiple criteria decision making with probabilistic linguistic information [J].Information Sciences,2017,415/416:341-355.
[12] Wu Xingli,Liao Huchang.An approach to quality function deployment based on probabilistic linguistic term sets and ORESTE method for multi-expert multi-criteria decision making [J].Information Fusion,2018,43:13-26.
[13] Cheng Xiang,Gu Jing,Xu Zeshui.Venture capital group decision-making with interaction under probabilistic linguistic environment [J].Knowledge-Based Systems,2018,140:82-91.
[14] Peng Honggang,Zhang Hongyu,Wang Jiangqiang.Cloud decision support model for selecting hotels on TripAdvisor.com with probabilistic linguistic information [J].International Journal of Hospitality Management,2018,68:124-138.
[15] Hwang C L,Yoon K.Multiple attribute decision making methods and applications [M].New York:Springer-Verlag,1981.
[16] Shocker A D,Srinivasan V.LINMAP:Linear programming techniques for the multidimensional analysis of preferences [J].Psychometrika,1973,38(3):337-369.
[17] Roubens M.Preference relations on actions and criteria in multicriteria decision making [J].European Journal of Operational Research,1982,10(1):51-55.
[18] Benayoun R,Roy B,Sussman B.ELECTRE:Une méthode pour guider le choix en présence de points de vue multiples [J].Rev Franaise Informat Recherche Opérationnelle,1966,3(2):31-56.
[19] Roy B.Classement et choix en présence de points de vue multiples [J].Revue franaise d'automatique,d'informatique et de recherche opérationnelle Recherche opérationnelle,1968,2(1):57-75.
[20] Roy B,Bertier P.La methode ELECTRE II:une methode de classement en presence de critteres multiples [M].Paris:Direction Scientifique,1971.
[21] Roy B,Bertier P.La methode ELECTRE II:une methode au media-planning [M].North-Holland:Amsterdam,1973:291-302.
[22] Roy B.ELECTRE III:un algorithme de classements fonde sur une representation floue des preference en presence de criteres multiples [J].Cahiers de CERO,1978,20(1):3-24.
[23] Liao Huchang,Yang Luanyi,Xu Zeshui.Two new approaches based on ELECTRE II to solve the multiple criteria decision making problems with hesitant fuzzy linguistic term sets [J].Applied Soft Computing,2018,63:223-234.
[24] Hashemi S S,Hajiagha S H R,Zavadskas E K,et al.Multicriteria group decision making with ELECTRE III method based on interval-valued intuitionistic fuzzy information [J].Applied Mathematical Modelling,2016,40(2):1554-1564.
[25] Wang Yingming.Using the method of maximizing deviations to make decision for multi-indices [J].Journal of System Engineering and Electronics,2012,8(3):21-26.
[26] Wu Mingche,Chen Tingyu.The ELECTRE multicriteria analysis approach based on Atanassov's intuitionistic fuzzy sets [J].Expert Systems with Applications,2011,38(10):12318-12327.
[27] Na Chen,Xu Zeshui.Hesitant fuzzy ELECTRE II approach: a new way to handle multi-criteria decision making problems [J].Information Sciences,2015,292:175-197.

备注/Memo

备注/Memo:
收稿日期:2017-11-24
基金项目:国家自然科学基金(71774073),江西省2016年度研究生创新专项资金(YC2016-S241)和江西财经大学2017年度研究生创新专项资金(23)资助项目.
作者简介:毛小兵(1972-),男,湖北建始人,副教授,博士,主要从事管理决策和数理统计研究.E-mail:mxb502@163.com
更新日期/Last Update: 2018-06-20