基于DEMATEL和VIKOR的犹豫毕达哥拉斯模糊多属性决策方法  

Hesitant Pythagorean Fuzzy Multi-attribute Decision-making Method Based on DEMATEL and VIKOR

作　　者：杨威[1] 刘春欣 YANG Wei;LIU Chunxin(School of Science,Xi'an University of Architecture and Technology,Xi'an 710055)

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《工程数学学报》2021年第6期797-808,共12页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(71971163);陕西省自然科学基金(2019JM252).

摘　　要：为了解决复杂模糊不确定环境下多属性决策问题,提出一种基于DEMATEL和VIKOR的犹豫毕达哥拉斯模糊多属性决策方法。首先根据决策者给定的属性评价值,利用DEMATEL方法确定属性权重,通过VIKOR方法对方案进行排序;其次对于排序结果不一致的情况,利用Kendall-W系数进行事前一致性检验,利用本文所提组合模糊Borda方法进行排序;再利用Spearman系数进行事后一致性检验。最后通过实例说明该方法的可行性与有效性。Aiming at the multi-attribute decision-making problem in complex fuzzy uncertain environment,a hesitant Pythagorean fuzzy multiple attribute decision making method based on DEMATEL and VIKOR is proposed.First,the attribute weight is determined by the DEMATEL method,and alternatives are ranked by the VIKOR method.Secondly,for the cases where ranking results are inconsistent,the Kendall-W coefficient is used to perform the ex-ante consistency check.Then a combined fuzzy Borda method is proposed.Spearman coefficient is used to perform the ex-post consistency check,and a combined fuzzy Borda method is proposed.Finally,the feasibility and effectiveness of the proposed method are illustrated by an example.

关 键 词：犹豫毕达哥拉斯模糊集 DEMATEL VIKOR 组合模糊Borda 

分 类 号：C934[经济管理—管理学]