基于公众评价的大群体决策方法

›› 2018, Vol. 30 ›› Issue (10): 238-247.

基于公众评价的大群体决策方法

任嵘嵘^1,3, 李文文², 赵萌¹, 李晓奇¹

1. 东北大学秦皇岛分校, 秦皇岛 066004;
2. 北京景山学校曹妃甸学校, 唐山 063299;
3. 河北省科普信息化工程技术研究中心, 秦皇岛 066004

收稿日期:2016-07-19 出版日期:2018-10-28 发布日期:2018-10-23
作者简介:任嵘嵘,东北大学秦皇岛分校副教授,博士;李文文,北京景山学校曹妃甸学校教师;赵萌,东北大学秦皇岛分校副教授,博士;李晓奇,东北大学秦皇岛分校教授
基金资助:
国家自然科学青年基金项目（71701037）；北京市软科学项目（Z161100003116071）。

A Large Group Decision Making Method Based on Public Evaluation

Ren Rongrong^1,3, Li Wenwen², Zhao Meng¹, Li Xiaoqi¹

1. Northeastern University at Qinhuangdao, Qinhuangdao 066004;
2. Beijing Jingshan School Caofeidian Branch, Tangshan 063299;
3. Hebei Province Popularization Science Informatization Engineering Technology Research Center, Qinhuangdao 066004

Received:2016-07-19 Online:2018-10-28 Published:2018-10-23

摘要/Abstract

摘要：

大群体决策问题是一类特殊的群决策问题，最大特点是有大量决策者参与。本文旨在探索一种大群体决策新方法，解决基于公众评价的大群体决策问题。该方法首先根据决策者所属领域不同将回收的大量评价数据进行分组，依据公众评价数据的特点分别用正态分布和对数正态分布拟合每组数据，选择拟合效果较好者；其次采用主、客观集成赋权法确定各组权重，其中主观权重由该组人数比直接确定，客观权重由该组组内评价数据的一致性确定；然后按照正态分布性质将各组分布集结；最后计算两两对象之间的优势度，得到优势度判断矩阵，并利用PROMETHEEⅡ的思想进行决策。通过案例分析和对比研究，验证了所提方法的可行性和优越性。

关键词: 多属性群决策, 大群体, 正态分布, 对数正态分布, 优势度

Abstract:

Large group decision-making (LGDM) is a special group decision-making (GDM) issue, in which a large number of persons take part in the decision-making process. The objective of this paper is to develop a new method to address the LGDM issue which is based on the public evaluation. Firstly, we divide the large evaluation data into several groups according to decision makers' professions. Normal distribution and logarithmic normal distribution are used to fit each group of data and select the better one. Secondly, the decision weight of each group concerning each object is obtained by aggregating the subjective weight, which is provided by the data rate, and the objective weight is determined according to the level of consensus among participators' evaluations. Thirdly, according to the nature of normal distribution, the normal distributions are assembled to one. Finally, by calculating the dominances of any two objects, we get the dominance matrix for decide making based on PROMETHEEⅡ. The practicality and superiority of the suggested method is verified through case study.

Key words: multi-attribute decision-making, large group, normal distribution, logarithmic normal distribution, dominance degree

任嵘嵘, 李文文, 赵萌, 李晓奇. 基于公众评价的大群体决策方法[J]. , 2018, 30(10): 238-247.

Ren Rongrong, Li Wenwen, Zhao Meng, Li Xiaoqi. A Large Group Decision Making Method Based on Public Evaluation[J]. , 2018, 30(10): 238-247.

参考文献

[1] Joshi D., Kumar S. Interval-Valued Intuitionistic Hesitant Fuzzy Choquet Integral Based TOPSIS Method for Multi-Criteria Group Decision Making[J]. European Journal of Operational Research, 2016,248(1):183-191
[2] Palomares I., Martinez L., Herrera F. A Consensus Model to Detect and Manage Non-Cooperative Behaviors in Large-Scale Group Decision Making[J]. IEEE Transactions on Fuzzy Systems, 2014,22(3):516-530
[3] Morente-Molinera J. A., Pérez I. J., Ureña M. R., et al. On Multi-Granular Fuzzy Linguistic Modeling in Group Decision Making Problems:A Systematic Review and Future Trends[J]. Knowledge-Based Systems, 2015,74(1):49-60
[4] Liu P., Wang Y. Multiple Attribute Group Decision Making Methods Based on Intuitionistic Linguistic Power Generalized Aggregation Operators[J]. Applied Soft Computing, 2014,17(4):90-104
[5] 徐宗本,冯芷艳,郭迅华,等. 大数据驱动的管理与决策前沿课题[J]. 管理世界, 2014,(11):158-163
[6] Nguyen H. T., Cao J. Trustworthy Answers for Top-K Queries on Uncertain Big Data in Decision Making[J]. Information Sciences, 2015,318(3):73-90
[7] Qi X., Liang C., Zhang J. Generalized Cross-Entropy Based Group Decision Making with Unknown Expert and Attribute Weights under Interval-Valued Intuitionistic Fuzzy Environment[J]. Computers & Industrial Engineering, 2015,79(2):52-64
[8] Wei C., Zhang Y. Entropy Measures for Interval-Valued Intuitionistic Fuzzy Sets and Their Application in Group Decision-Making[J]. Mathematical Problems in Engineering, 2015,2015(12):1-13
[9] Zhang X., Liu P., Wang Y. Multiple Attribute Group Decision Making Methods Based on Intuitionistic Fuzzy Frank Power Aggregation Operators[J]. Journal of Intelligent & Fuzzy Systems, 2015,29(5):2235-2246
[10] Fu C., Huhns M., Yang S. A Consensus Framework for Multiple Attribute Group Decision Analysis in an Evidential Reasoning Context[J]. Information Fusion, 2014,17(1):22-35
[11] Qin J., Liu X., Pedrycz W. An Extended TODIM Multi-Criteria Group Decision Making Method for Green Supplier Selection in Interval Type-2 Fuzzy Environment[J]. European Journal of Operational Research, 2017,258(2):626-638
[12] Ren Z., Xu Z., Wang H. Dual Hesitant Fuzzy VIKOR Method for Multi-Criteria Group Decision Making Based on Fuzzy Measure and New Comparison Method[J]. Information Sciences, 2017,388(5):1-16
[13] Bolloju N. Aggregation of Analytic Hierarchy Process Models Based on Similarities in Decision Makers' Preferences[J]. European Journal of Operational Research, 2001,128(3):499-508
[14] Tapia-Rosero A., Bronselaer A., De Tré G. A Method Based on Shape-Similarity for Detecting Similar Opinions in Group Decision-Making[J]. Information Sciences, 2014,258(8):291-311
[15] Palomares I., Martinez L., Herrera F. A Consensus Model to Detect and Manage Non-Cooperative Behaviors in Large-Scale Group Decision Making[J]. IEEE Transactions on Fuzzy Systems, 2014,22(3):516-530
[16] Quesada F. J., Palomares I., Mart, et al. Managing Experts Behavior in Large-Scale Consensus Reaching Processes with Uninorm Aggregation Operators[J]. Applied Soft Computing, 2015,35(8):873-887
[17] Liu B., Shen Y., Chen Y., et al. A Two-Layer Weight Determination Method for Complex Multi-Attribute Large-Group Decision-Making Experts in a Linguistic Environment[J]. Information Fusion, 2015,23(7):156-165
[18] 徐选华,万奇锋,陈晓红,等. 一种基于区间直觉梯形模糊数偏好的大群体决策冲突测度研究[J]. 中国管理科学, 2014,22(8):115-122
[19] Alonso S., Perez I. J., Cabrerizo F. J., et al. A Fuzzy Group Decision Making Model for Large Groups of Individuals[C]. The 18th International Conference on Fuzzy Systems, 2009
[20] Liu Y., Fan Z. P., Zhang X. A Method for Large Group Decision-Making Based on Evaluation Information Provided by Participators From Multiple Groups[J]. Information Fusion, 2015,29(5):132-141
[21] Liu Y., Fan Z. P., Zhang Y. A Method for Stochastic Criteria Decision Making Based on Dominance Degrees[J]. Information Science, 2011,181(19):4139-4153
[22] Corrente S., Greco S., Slowinski R. Multiple Criteria Hierarchy Process with ELECTRE and PROMETHEE[J]. Omega, 2013,41(5):820-846
[23] Kuang H., Kilgour D. M., Hipel K. W. Grey-Based PROMETHEE Ⅱ With Application to Evaluation of Source Water Protection Strategies[J]. Information Sciences, 2015,294(3):376-389
[24] Kadziński M., Ciomek K. Integrated Framework for Preference Modeling and Robustness Analysis for Outranking-Based Multiple Criteria Sorting with ELECTRE and PROMETHEE[J]. Information Sciences, 2016,352(5):167-187
[25] 黄超. 对数正态分布的参数估计[J]. 高等数学研究, 2015,18(4):4-20
[26] 刘德海,于倩,马晓南. 基于最小偏差组合权重的突发事件应急能力评价模型[J]. 中国管理科学, 2014,22(11):79-86
[27] 李刚,程砚秋,董霖哲. 基尼系数客观赋权方法研究[J]. 管理评论, 2014,26(1):12-22