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论文

基于不确定纯语言混合调和平均算子的多属性群决策方法

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  • 1. 上海理工大学管理学院, 上海 200093;
    2. 浙江万里学院数学研究所, 浙江 宁波 315100
彭勃(1983-),男(汉族),安徽毫州人,浙江万里学院,讲师,博士后,研究方向:决策分析与运营管理.

收稿日期: 2012-07-03

  修回日期: 2013-01-19

  网络出版日期: 2015-02-28

基金资助

国家自然科学基金资助项目(71271138);上海市哲学社会科学规划项目(2014BGL024);上海市一流学科资助项目(S1201YLXK);浙江省社科联研究课题(2014B137).

An Approach to Multiple Attribute Group Decision Making Based on Uncertain Pure Linguistic Hybrid Harmonic Averaging Operator

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  • 1. Business School, University of Shanghai for Science and Technology, Shanghai 200093, China;
    2. Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, China

Received date: 2012-07-03

  Revised date: 2013-01-19

  Online published: 2015-02-28

摘要

在现实生活中,由于决策者对一些特定领域问题的熟悉度和时间限制等因素制约,决策信息一般以不确定纯语言的形式给出,即专家权重、属性权重及属性值均为语言标度的形式. 本文研究了不确定纯语言环境下的多属性群决策问题,给出了不确定环境下的纯语言有序加权调和平均(UPLOWHA)算子,纯语言混合调和平均(UPLHHA)算子等,研究了基于这些算子的纯语言多属性群决策问题,提出了相应的多属性群决策方法. 该方法计算方便且能充分利用已有语言决策信息. 同时,将该方法应用于解决虚拟企业中的合作伙伴选择问题,并通过与其他方法的比较分析,说明此方法的有效性.

本文引用格式

彭勃, 叶春明 . 基于不确定纯语言混合调和平均算子的多属性群决策方法[J]. 中国管理科学, 2015 , 23(2) : 131 -138 . DOI: 10.16381/j.cnki.issn1003-207x.2015.02.016

Abstract

In the real life, due to people's limited expertise related to the problem domain, time pressure and so on, the decision information is expressed in the form of uncertain pure linguistic variables, in which all expert weights, attribute weights and attribute values take the form of linguistic labels. In this paper, the multiple attribute group decision making (MAGDM) problems under uncertain pure linguistic information are studied. Aggregation operators including the uncertain pure linguistic ordered weighed harmonic averaging (UPLOWHA) operator and the uncertain pure linguistic hybrid harmonic averaging (UPLHHA) operator are proposed. Also, an approach based on the proposed operators for MAGDM is developed. The prominent characteristic of the approach is straightforward and does not produce any loss of information. Moreover, the approach is applied to the partner selection of virtual enterprises. And finally, the effectiveness of the developed approach is shown by comparison with other methods.

参考文献

[1] 徐泽水. 不确定多属性决策方法及应用[M]. 北京: 清华大学出版社, 2004.

[2] Xu Zeshui. Extended IOWG operator and its use in group decision making based on multiplicative linguistic preference relations [J]. American Journal of Applied Sciences, 2005, 2(3): 633—643.

[3] Xu, Zeshui. An approach to group decision making based on incomplete linguistic preference relations, International Journal of Information Technology and Decision Making, 2005, 4(1): 153-160.

[4] Herrera F, Herrera-Viedma E. Linguistic decision analysis: Steps for solving decision problems under linguistic information[J]. Fuzzy Sets and Systems, 2000, 115(1): 67—82.

[5] 樊治平, 肖四汉. 基于自然语言符号表示的比较矩阵的一致性及排序方法[J]. 系统工程理论与实践, 2002,22 (5): 87—91.

[6] 徐泽水. 纯语言多属性群决策方法研究[J]. 控制与决策, 2004, 19 (7):778—781.

[7] Fan Zhiping, Yue Qi, Feng Bo, et al. An approach to group decision-making with uncertain preference ordinals [J]. Computers and Industrial Engineering, 2010, 58(1): 51-57.

[8] Xu Zeshui. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment [J]. Information Sciences, 2004, 168(1): 171-184.

[9] Xu Zeshui. Interactive group decision making procedure based on uncertain multiplicative linguistic preference relations [J]. Journal of Systems Engineering and Electronics, 2010, 21(3): 408—415.

[10] Wei Guiwu. Uncertain linguistic hybrid geometric mean operator and its application to group decision making under uncertain linguistic environment [J]. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2009, 17(2):251-267.

[11] Wei Guiwu. Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making [J]. Applied Soft Computing, 2010, 10(2): 423-431.

[12] Wei Guiwu, Zhao Xiaofei. Some dependent aggregation operators with 2-tuple linguistic information and their application to multiple attribute group decision making [J]. Expert Systems with Applications 2012, 39(5): 5881-5886.

[13] Xu Zeshui. A note on linguistic hybrid arithmetic averaging operator in multiple attribute group decision making with linguistic information [J]. Group Decision and Negotiation, 2006, 15(6): 593—604.

[14] 徐泽水.基于语言信息的决策理论与方法[M]. 北京: 科学出版社, 2008.

[15] Herrera F,Herrera-Viedma E, Martinez L. A fusion approach for managing multi-granularity linguistic term sets in decision making [J] Fuzzy Sets and Systems, 2000, 114(1): 43-58.

[16] Zhang Zhen, Guo Chonghui. A method for multi-granularity uncertain linguistic group decision making with incomplete weight information [J]. Knowledge-Based Systems, 2012, 26: 111-119.

[17] Xu Zeshui. A direct approach to group decision making with uncertain additive linguistic preference relations [J]. Fuzzy Optimization and Decision Making, 2006, 5(1): 21-32.

[18] Yager R R. On ordered weighted averaging aggregation operators in multi-criteria decision making [J]. IEEE Transactions on Systems, Man, and Cybernetics, 1988, 18(1):183-190.

[19] Xu Zeshui, Da Qingli. The ordered weighted geometric averaging operators [J]. International Journal of Intelligent Systems, 2002, 17(6): 709- 716.

[20] Chiclana F, Herrera F. Herrera-Viedma E. Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations [J]. Fuzzy Sets and Systems,2001,122(2):277-291.

[21] Xu Zeshui Da Qingli. The uncertain OWA operator [J]. International Journal of Intelligent Systems,2002,17(6):569-575.

[22] Xu Zeshui. An overview of methods for determining OWA weights [J]. International Journal of Intelligent Systems, 2005, 20(8): 843-865.

[23] Xu Zeshui. Two methods for ranking alternatives in group decision-making with different preference information [J]. Information: An International Journal,2003,6:389-394.

[24] Nagal R, Dove R. 21st century manufacturing enterprise strategy: An industry-led view [M].Darby,PA:Diane Publishing,1991.

[25] 戴跃强,徐泽水,李琰,等.语言信息评估新标度及其应用[J]. 中国管理科学,2008,16(2):145-149.

[26] Xu Zeshui. A method based on linguistic aggregation operators for group decision making with linguistic preference relations [J]. Information Sciences, 2004, 166(1): 19-30.

[27] Liu Peide, Jin Fang, Zhang Xin, et al. Research on the multi-attribute decision-making under risk with interval probability based on prospect theory and the uncertain linguistic variables [J]. Knowledge-Based Systems, 2011, 24(4): 554-561.

[28] Xu Zeshui,Cai Xiaoqiang. Uncertain power average operators for aggregating interval fuzzy preference relations [J]. Group Decision and Negotiation, 2012,21(3): 381—397.

[29] Xu Zeshui. Fuzzy harmonic mean operators [J]. International Journal of Intelligent Systems, 2009, 24(2): 152-172.

[30] Yu Xiaohan, Xu Zeshui,Zhang Xiumei. Uniformization of multi-granular linguistic labels and their application to group decision making [J]. Journal of Systems Science and Systems Engineering, 2010, 19(3): 257-276.

[31] 陈菊红,汪应洛,孙林岩. 虚拟企业伙伴选择过程及方法研究[J].系统工程理论与实践, 2001,21(7): 48-53.

[32] 彭勃,叶春明. 基于纯语言混合几何平均算子的多属性群决策方法[J].系统工程, 2012,30(3): 123-126.
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