基于犹豫毕达哥拉斯模糊矩阵相似度的交互式群体评价方法  

Interactive Group Evaluation Method Based on Hesitant Pythagorean Fuzzy Matrix Similarity

作　　者：华维灿 王煜 王贵君[1] HUA Wei-can;WANG Yu;WANG Gui-jun(School of Mathematics Sciences,Tianjin Normal University,Tianjin 300387,China;Tonghua No.1 High School.Tonghua 134001,China)

机构地区：[1]天津师范大学数学科学学院,天津300387 [2]通化市第一中学校,吉林通化134001

出　　处：《模糊系统与数学》2021年第5期96-105,共10页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61374009);吉林省教育科学“十三五”规划课题(GH20838)。

摘　　要：犹豫毕达哥拉斯模糊集(HPFS)不仅是毕达哥拉斯模糊集(PFS)和犹豫模糊集(HFS)的结合,而且是处理多属性指标信息群体决策问题的一个新工具。本文首先回顾了犹豫毕达哥拉斯模糊数(HPFN)的一些基本定义和相关运算。其次,通过适当补充隶属度、非隶属度集合元素数量和海明距离引入HPFN的相似度,并基于专家赋予的评价矩阵提出犹豫毕达哥拉斯模糊矩阵(HPFM)的相似度。最后,在犹豫毕达哥拉斯模糊环境下基于HPFM相似度设计一种交互式群体评价方法,并通过实例验证该方法的有效性。Hesitant Pythagorean fuzzy sets(HPFS) are not only the combination of Pythagorean fuzzy set(PFS) and hesitant fuzzy set(HFS), but also a new tool for group decision making with multi-attribute information. Firstly, some basic definitions and related operations for the hesitant Pythagorean fuzzy number(HPFN) are reviewed in this paper. Secondly, the similarity of HPFN is introduced by expanding the membership degree, the number of non membership set elements and Hamming distance, and the similarity of hesitant Pythagorean fuzzy matrix(HPFM) is proposed with the evaluation matrix given by experts. Finally, in the hesitant Pythagorean fuzzy environment, an interactive group evaluation method based on HPFM similarity is given, and the effectiveness of the method is verified by an example.

关 键 词：犹豫毕达哥拉斯模糊数(HPFN) HPFN相似度 HPFM相似度 交互式群体评价 

分 类 号：C934[经济管理—管理学]