权重完全未知下基于投影的犹豫模糊多属性群决策方法及应用  

The Method and Application of Hesitant Fuzzy Multi-Attribute Group Decision Making Based on Projection Under the Complete Unknown Weight

作　　者：陕振沛 郭亚丹 宁宝权 张府柱 SHAN Zhen-pei;GUO Ya-dan;NING Bao-quan;Zhang Pu-zhu(School of Mathematics and Information Engineering, Liupanshui Normal University, Liupanshui 553004, China;School of Information Science and Technology, Xiamen University, Xiamen 361005, China)

机构地区：[1]六盘水师范学院数学与信息工程学院,贵州六盘水553004 [2]厦门大学信息科学与技术学院,福建厦门361005

出　　处：《数学的实践与认识》2019年第15期173-183,共11页Mathematics in Practice and Theory

基　　金：贵州省教育厅高校自然科学研究项目(黔教合KY字[2016]271号、103号、265号,黔教豁Y字[2017]260号黔教合KY字[2018]369号、387号);贵州省高等学校教学质量与教学改革项目(GZSJG10977201608,GZSJG10977201603,GZSJG10977201508,GZSJG10977201505);贵州省科学技术基金项目(黔科合J字LKLS[2013]32号);六盘水师范学院自然科学科研计划项目(LPSSY201502、201605);六盘水师范学院大学生项目(LPSSYDXS1602,17036,17037);六盘水师范学院重点学科(LPSSYZDPYXK201709);六盘水师范学院科技创新团队(LPSSYKJTD201702);贵州省大学生创新创业训练计划项目(201710977029)

摘　　要：旨在犹豫模糊环境下,针对属性权重和专家权重完全未知的情形,提出了一种基于投影的犹豫模糊多属性群决策方法.首先,根据改进的犹豫模糊熵结合均熵求得决策者的客观权重,利用熵最小化原则与犹豫模糊指数熵确定评价属性的权重.接着,利用犹豫模糊加权算术平均算子对个体犹豫模糊决策矩阵进行集结,构建并求解出每个方案在正、负理想方案上的投影.然后,通过计算相对贴近度实现方案的排序和择优.最后,把该决策方法应用在应急救援路径选择问题上,进而验证了所提群决策方法的可行性与有效性.In this paper, a projection-based hesitant fuzzy multi-attribute group decisionmaking method is proposed for the case that attribute weights and expert weights are completely unknown in the hesitant fuzzy environment. Firstly, the objective weight of the decision maker is obtained by using the improved hesitant fuzzy entropy combined with the average entropy, and the weight of the evaluation attribute is determined by the entropy minimization principle and the hesitant fuzzy exponential entropy.Then, the individual hesitation fuzzy decision matrix is assembled by using the hesitant fuzzy weighted arithmetic average operator, and the projection of each scheme on the positive and negative ideal schemes is constructed and solved. Then, the relative closeness degree is calculated to achieve the ranking and selection of the scheme. Finally, this decision method is applied to the problem of emergency rescue path selection, which verifies the feasibility and effectiveness of the proposed group decision making method.

关 键 词：犹豫模糊数 投影 熵 理想点 应急救援路径选择 

分 类 号：O159[理学—数学]