基于直觉纯语言集结算子的多属性群决策方法

doi:10.12005/orms.2017.0109

运筹与管理 ›› 2017, Vol. 26 ›› Issue (5): 62-68.DOI: 10.12005/orms.2017.0109

基于直觉纯语言集结算子的多属性群决策方法

彭勃¹, 叶春明², 杜雪樵³

1.南昌大学管理学院,江西南昌 330031;
2.上海理工大学管理学院,上海 200093;
3.合肥工业大学数学学院,安徽合肥 230009

收稿日期:2015-04-03 出版日期:2017-05-25
作者简介:彭勃(1983-),男,博士后,副教授,从事决策理论与方法研究。
基金资助:
国家自然科学基金资助项目(71271138);上海理工大学科技发展项目(16KJFZ028);上海市高原学科项目“管理科学与工程”(GYXK1201);浙江省自然科学基金资助项目(LQ15G010003);宁波市自然科学基金资助项目(2015A610172)

Method of Multiple Attribute Group Decision Making Based on Intuitive Pure Linguistic Aggregation Operators

PENG Bo¹, YE Chun-ming², DU Xue-qiao³

1. School of Management, Nanchang University, Nanchang 330031, China;
2. Business School, University of Shanghai for Science & Technology, Shanghai 200093, China;
3. School of Mathematics, Hefei University of Technology, Hefei 230009, China

Received:2015-04-03 Online:2017-05-25

摘要/Abstract

摘要： 定义了直觉纯语言集及其运算法则和直觉纯语言变量的数学期望和精确函数,提出了一些基于直觉纯语言评估标度及其运算法则的信息集结算子。在此基础上,给出了一种专家权重、属性权重及属性值均以语言标度形式给出的直觉纯语言信息集结方法,并将此方法应用到多属性群决策中,实例分析表明了该方法的有效性和可行性。

关键词: 群决策, 集结算子, 直觉, 纯语言信息

Abstract: Intuitive pure linguistic set, as well as its operational laws, expected values and accuracy function are defined. Some new intuitive pure linguistic operators based on the intuitive pure linguistic evaluation scale and the operational laws are developed. Also, a method for aggregating intuitive pure linguistic information, in which all expert weights, attribute weights, attribute values take the form of linguistic labels is proposed. Moreover, the method is applied to the multiple attribute group decision making. And finally, the feasibility and effectiveness of the method are shown by an illustrative example.

Key words: group decision making, aggregation operators, intuitive, pure linguistic information

中图分类号:

C934

彭勃, 叶春明, 杜雪樵. 基于直觉纯语言集结算子的多属性群决策方法[J]. 运筹与管理, 2017, 26(5): 62-68.

PENG Bo, YE Chun-ming, DU Xue-qiao. Method of Multiple Attribute Group Decision Making Based on Intuitive Pure Linguistic Aggregation Operators[J]. Operations Research and Management Science, 2017, 26(5): 62-68.

参考文献

[1] Zadeh L A. Fuzzy sets[J]. Information and Control, 1965, 8: 338-353.
[2] Atanassov K T. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986, 20: 87-96.
[3] Xu Z S, Yager R R. Some geometric aggregation operators based on intuitionistic fuzzy sets[J]. International Journal of General Systems, 2006, 35: 417-433.
[4] Xu Z S. Intuitionistic fuzzy aggregation operators[J]. IEEE Transactions on Fuzzy Systems, 2007, 15(6): 1179-1187.
[5] 徐泽水.区间直觉模糊信息的集成方法及其在决策中的应用[J].控制与决策,2007,22(2):215-219.
[6] Szmidt E, Kacprzyk J. Distances between intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 2000, 114: 505-518.
[7] 巩在武,李廉水,姚天祥.基于残缺信息的直觉模糊判断矩阵群决策方法[J].运筹与管理,2010,19(6):45-51.
[8] Wei G W. Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making[J]. Applied Soft Computing, 2010, 10: 423-431.
[9] Peng B, Ye C M, Zeng S Z. Some intuitionistic fuzzy weighted geometric distance measures and their application to group decision making[J]. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2014, 22(5): 699-715.
[10] 王坚强,李靖靖.多粒度直觉二元语义的多准则群决策方法[J].科技信息,2009,3:8-9.
[11] Liu P D, Jin F. Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making[J]. Information Sciences, 2012, 205: 58-71.
[12] Liu P D. Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making[J]. Journal of Computer and System Sciences, 2013, 79: 131-143.
[13] Herrera F, Herrera-Viedma E. Linguistic decision analysis: steps for solving decision problems under linguistic information[J]. Fuzzy Sets and Systems, 2000, 115: 67-82.
[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] 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.
[16] 王坚强.一种多准则纯语言群决策方法[J].控制与决策,2007,22(5):545-548,553.
[17] Peng B, Ye C M, Zeng S Z. Uncertain pure linguistic hybrid harmonic averaging operator and generalized interval aggregation operator based approach to group decision making[J]. Knowledge-Based Systems, 2012, 36: 175-181.
[18] 彭勃,叶春明,杜雪樵.纯语言信息下基于PLHAA算子的多属性群决策法[J].运筹与管理,2013,22(1):48-53.
[19] Xu Z S. An overview of methods for determining OWA weights[J]. International Journal of Intelligent Systems, 2005, 20: 843-865.
[20] Chen S M, Tan J M. Handling multicriteria fuzzy decision making problems based on vague set theory[J]. Fuzzy Sets and Systems, 1994, 67: 163-172.
[21] Hong D H, Choi C H. Multicriteria fuzzy decision-making problems based on vague set theory[J]. Fuzzy Sets and Systems, 2000, 114: 103-113.

基于直觉纯语言集结算子的多属性群决策方法

Method of Multiple Attribute Group Decision Making Based on Intuitive Pure Linguistic Aggregation Operators

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