Hesitant fuzzy multiple attribute decision making method based on optimization of attribute weights

被引:0
作者
Liu X.-D. [1 ,2 ]
Zhu J.-J. [1 ]
Zhang S.-T. [1 ,2 ]
Liu G.-D. [1 ]
机构
[1] College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing
[2] School of Mathematics and Physics, Anhui University of Technology, Ma'anshan
来源
Kongzhi yu Juece/Control and Decision | 2016年 / 31卷 / 02期
关键词
Attribute weight; Hesitant fuzzy set; Multiple attribute decision making;
D O I
10.13195/j.kzyjc.2014.1931
中图分类号
学科分类号
摘要
An approach based on multi-objective optimization of attribute weights is proposed to deal with the hesitant fuzzy multiple attribute decision making problem with attribute weights completely unknown. Firstly, the mean and variance for attribute values, and the correlation coefficients between attributes are computed. An optimization model is constructed to determine the attribute weights. Then, the similarity degree between each alternative and the hesitant fuzzy positive ideal point is obtained to rank the alternatives. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the proposed method. © 2016, Editorial Office of Control and Decision. All right reserved.
引用
收藏
页码:297 / 302
页数:5
相关论文
共 30 条
[1]  
Zadeh L.A., Fuzzy sets, Information and Control, 8, 3, pp. 338-353, (1965)
[2]  
Liao H.C., Xu Z.S., A VIKOR-based method for hesitant fuzzy multi-criteria decision making, Fuzzy Optimization and Decision Making, 12, 4, pp. 373-392, (2013)
[3]  
Atanassov K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1, pp. 87-96, (1986)
[4]  
Dubois D., Prade H., Fuzzy Sets and Systems: Theory and Applications, pp. 30-32, (1980)
[5]  
Yager R.R., On the theory of bags, Int J of General Systems, 13, 1, pp. 23-37, (1986)
[6]  
Torra V., Narukawa Y., On hesitant fuzzy sets and decision, The 18th IEEE Int Conf on Fuzzy Systems, pp. 1378-1382, (2009)
[7]  
Torra V., Hesitant fuzzy sets, Int J of Intelligent Systems, 25, 6, pp. 529-539, (2010)
[8]  
Chen N., Xu Z.S., Xia M.M., Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis, Applied Mathematical Modelling, 37, 4, pp. 2197-2211, (2013)
[9]  
Zhang X.L., Xu Z.S., A MST clustering analysis method under hesitant fuzzy environment, Control and Cybernetics, 41, 3, pp. 645-666, (2012)
[10]  
Chen N., Xu Z.S., Xia M.M., Hierarchical hesitant fuzzy K-means clustering algorithm, Applied Mathematics: A J of Chinese Universities(Series B), 29, 1, pp. 1-17, (2014)