新的犹豫模糊集相关系数及多属性决策应用

doi:10.3969/j.issn.0372-2112.2018.06.008

电子学报 ›› 2018, Vol. 46 ›› Issue (6): 1327-1335.DOI: 10.3969/j.issn.0372-2112.2018.06.008

新的犹豫模糊集相关系数及多属性决策应用

徐俊艳¹, 孙贵东², 赵静²

1. 山东工商学院管理科学与工程学院, 山东烟台 264005;
2. 海军航空大学, 山东烟台 264001

收稿日期:2017-05-04 修回日期:2017-08-14 出版日期:2018-06-25
- 通讯作者:
- 孙贵东
- 作者简介:
- 徐俊艳,女,1965年出生,河北东光人,博士、教授.主要研究方向:系统工程
- 基金资助:
- 国防科技卓越青年人才基金; 国家自然科学基金重大研究计划 (No.91538201）; 国家自然科学基金面上项目 (No.61671463，No.61571454）; 泰山学者工程专项经费 (No.ts201712072）; 山东省自然科学基金 (No.ZR2017BG014）

Novel Correlation Coefficients Between Hesitant Fuzzy Sets and Their Applications in Multi-attribute Decision Making

XU Jun-yan¹, SUN Gui-dong², ZHAO Jing²

1. School of Management Science and Engineering, Shandong Institute of Business and Technology, Yantai Shandong 264001, China;
2. Naval Aviation University, Yantai Shandong 264001, China

Received:2017-05-04 Revised:2017-08-14 Online:2018-06-25 Published:2018-06-25
- Corresponding author:
- SUN Gui-dong
- Supported by:
- National Defense Science and Technology Fund for Outstanding Youth Talents; Major Research Project of National Natural Science Foundation of China (No.91538201); National Natural Science Foundation of China (No.61671463, No.61571454); Taishan Scholars Special Funding for Construction Projects (No.ts201712072); Natural Science Foundation of Shandong Province (No.ZR2017BG014)

摘要/Abstract

摘要： 为解决犹豫模糊集相关系数违背统计学和随机过程直觉的问题，分析了现有相关系数的局限性，基于更严谨的数学相关系数定义模式，通过定义犹豫模糊集的方差和协方差提出新的犹豫模糊集相关系数计算方法.并考虑犹豫模糊属性权重的影响将其拓展为加权相关系数，最后将所提出的方法应用到多传感器多属性决策问题中.仿真试验验证了新的犹豫模糊集相关系数决策的有效性，并对比分析了相关系数计算性能和属性权重对的决策结果的影响.

关键词: 相关系数, 犹豫模糊集, 多属性决策, 权重

Abstract: In order to solve the problem that the traditional correlation coefficients between hesitant fuzzy sets are not conform to the statistics and the random process intuition,considering the more precise definition of correlation coefficient in mathematics we point out the drawbacks of the existing correlation coefficients and propose two correlation coefficient methods between hesitant fuzzy sets based on the variance and covariance of them.Meanwhile taking the attribute weight into account,we further extend the correlation coefficients into the weight correlation coefficients and apply them in multi-sensor decision-making problem.The validity of the proposed correlation coefficients to the decision making is illustrated in the simulation example and the capability of the two correlation coefficients as well as the influence of the attribute weight are also compared.

Key words: correlation coefficients, hesitant fuzzy sets(HFS), multi-attribute decision making, weight

中图分类号:

TN95

徐俊艳, 孙贵东, 赵静. 新的犹豫模糊集相关系数及多属性决策应用[J]. 电子学报, 2018, 46(6): 1327-1335.

XU Jun-yan, SUN Gui-dong, ZHAO Jing . Novel Correlation Coefficients Between Hesitant Fuzzy Sets and Their Applications in Multi-attribute Decision Making[J]. Acta Electronica Sinica, 2018, 46(6): 1327-1335.

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新的犹豫模糊集相关系数及多属性决策应用

Novel Correlation Coefficients Between Hesitant Fuzzy Sets and Their Applications in Multi-attribute Decision Making

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