基于毕达哥拉斯犹豫模糊距离测度的灰关联双向投影决策法  

A Novel Grey Relational Bidirectional Projection Method Based on the Pythagorean Hesitant Fuzzy Distance Measure

作　　者：臧誉琪 张洋[1] ZANG Yu-qi;ZHANG Yang(School of Public Administration,Yanshan University,Qinhuangdao 066004,China;School of Information Science and Engineering,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学公共管理学院,河北秦皇岛066004 [2]燕山大学信息科学与工程学院,河北秦皇岛066004

出　　处：《模糊系统与数学》2020年第1期87-98,共12页Fuzzy Systems and Mathematics

基　　金：河北省社会科学基金青年项目(HB19GL009)。

摘　　要：为解决多属性决策单方向偏差难题所提出的灰关联投影法尚存在适用性差的技术不足。为此,在借鉴双向投影技术要点的基础上联合新型灰关联系数,并引入毕达哥拉斯犹豫模糊集的表达优势,提出基于毕达哥拉斯犹豫模糊距离测度的灰关联双向投影决策方法。新方法能够有效解决毕达哥拉斯犹豫模糊多属性决策问题,具有较高的分辨度。通过算例应用分析,直接验证了毕达哥拉斯犹豫模糊灰关联双向投影方法的实用性,间接验证了毕达哥拉斯犹豫模糊距离测度和灰关联双向投影法的有效性。The proposed grey relational projection method for dealing with, which is still insufficient technical applicability. To overcome the shortcoming, we combine the bidirectional projection method with the new grey relational coefficient, and the information expression advantage of the Pythagorean hesitant fuzzy set, propose a novel grey relational bidirectional projection method based on the Pythagorean hesitant fuzzy distance measure. The new method can effectively solve the Pythagorean hesitant fuzzy multi-attribute decision problem with high resolution. The application of an illustrative example is given, which directly verified the effectiveness of the proposed method and indirectly verified the rationality of the Pythagorean hesitant fuzzy distance measure and grey relational bidirectional projection method.

关 键 词：毕达哥拉斯犹豫模糊集 距离测度 灰关联双向投影 多属性决策 

分 类 号：C934[经济管理—管理学]