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新的犹豫模糊集相关系数及多属性决策应用

徐俊艳 孙贵东 赵静

电子学报2018,Vol.46Issue(6):1327-1335,9.
电子学报2018,Vol.46Issue(6):1327-1335,9.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

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

徐俊艳 1孙贵东 2赵静2

作者信息

  • 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
  • 折叠

摘要

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 ex-ample and the capability of the two correlation coefficients as well as the influence of the attribute weight are also compared.

关键词

相关系数/犹豫模糊集/多属性决策/权重

Key words

correlation coefficients/hesitant fuzzy sets(HFS)/multi-attribute decision making/weight

分类

信息技术与安全科学

引用本文复制引用

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):1327-1335,9.

基金项目

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) (No.91538201)

国家自然科学基金面上项目(No.61671463,No.61571454) (No.61671463,No.61571454)

泰山学者工程专项经费(No.ts201712072) (No.ts201712072)

山东省自然科学基金(No.ZR2017BG014) (No.ZR2017BG014)

电子学报

OA北大核心CSCDCSTPCD

0372-2112

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