Intuitionistic fuzzy multi-attribute decision making based on improved Spearman rank correlation coefficient

doi:10.14088/j.cnki.issn0439-8114.2021.08.034

Abstract

Abstract: A new decision method of Spearman rank correlation coefficient was proposed for multi-attribute decision making with intuitionistic fuzzy numbers. The attribute weights obtained by AHP and entropy weight method were used to construct the optimization model with the idea of game theory equilibrium, and the mixed penalty function was used to solve the optimal combination weights. The association degree of each attribute was calculated according to the idea of grey correlation analysis. The correlation degree and the optimal weight of each scheme were labeled according to their own size, which were taken into Spearman rank correlation coefficient calculation as comparison sequence and reference sequence respectively. The size of correlation coefficient obtained was used for priority arrangement. Finally, an example was given to verify the effectiveness of the method.

Key words: intuitionistic fuzzy number, combination empowerment, Mult-SUMT, correlation degree, Spearman rank correlation coefficient

CLC Number:

GUO Min, TIAN Jia-xing. Intuitionistic fuzzy multi-attribute decision making based on improved Spearman rank correlation coefficient[J]. HUBEI AGRICULTURAL SCIENCES, 2021, 60(8): 162-170.

References

[1] ZADEH L A.Fuzzy sets[J].Information and control,1965,8(3):338-353.
[2] ZADEH L A.Probability measures of fuzzy events[J]. Journal of mathematical analysis and applications,1968,23 :421-427.
[3] ATANASSOV K.Intuitionistic fuzzy sets[J]. Fuzzy sets and systems,1986(20) :87-96.
[4] DENG J L.Grey system theory tutorial[M]. Wuhan:Huazhong University of Technology Press,1990.78-84.
[5] 杨红军,董礼.基于直觉模糊集多属性决策的灰色关联分析法[J].微电子学与计算机,2011,28(9):155-157.
[6] 张黎,李倩.基于直觉模糊层次分析法的专利质量模糊综合评价[J].科技管理研究,2019,39(7):85-92.
[7] 赵辉,屈微璐,邱玮婷,等.基于组合赋权法与可拓物元的海绵城市 PPP项目运作方式选择研究[J].科技管理研究,2019,39(6):200-206.
[8] 祝志川,张国超,张君妍.基于改进CRITIC的修正G2赋权方法及实证[J].统计与决策,2018,34(18):33-38.
[9] REZAEI J.Best-worst multi-criteria decision-making method[J].Omega,2015,53:49-57.
[10] 周清华,王琦.基于直觉模糊集和VIKOR的低碳供应商选择方法研究[J].科技管理研究,2017,37(10):233-237.
[11] 李媛,任保平.中国现代交通运输业增长质量评价[J].中国流通经济,2014,28(10):21-28.
[12] VICTOR V,Podinovski.Optimal weights in DEA models with weight restrictions[J]. European journal of operational research,2016,254(3):916-924.
[13] 李刚. 基尼系数赋权法及其在生活质量评价中的应用研究[J].中国管理科学,2015,23(S1):193-198.
[14] 刘利平,江玉庆,李金生.基于组合赋权法的企业技术创新能力评价[J].统计与决策,2017(13):176-179.
[15] 闫滨,姜秀慧,钟占华,等.基于改进权重的综合水质标识指数法的大伙房水库上游水质评价研究[J].沈阳农业大学学报,2019,50(3):314-323.
[16] 孙卫忠,王志波,高迎平,等.运用博弈论组合赋权法的图书馆藏优化研究——以河北工业大学图书馆为例[J].图书情报工作,2018,62(10):40-46.
[17] 苏丽敏,何慧爽.基于区间数的Spearman秩相关系数的多属性决策方法[J].统计与决策,2019,35(6):51-53.
[18] 司艳杰,魏法杰.基于直觉模糊优选模型的混合型多属性决策[J].系统工程与电子技术,2009,31(12):2893-2897.
[19] YUY, DARKOA, CHANA P.C, et al.Evaluation and ranking of risk factors in transnational Public-private partnerships projects:Case study based on the intuitionistic fuzzy analytic hierarchy process[J]. Journal of infrastructure systems,2018,24(4):1-13.
[20] 江登英,王亚雄,张徐军.基于双重信息不完全条件下的直觉模糊群组决策方法[J].统计与决策,2018,34(11):43-47.
[21] SZMIDT E,KACPRZYK J.The Spearman rank correlation coefficient between intuitionistic fuzzy sets[A]. 5th IEEE International Conference[C]. London,UK:University of Westminster, 2010.