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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2021, Vol. 38 ›› Issue (6): 797-808.doi: 10.3969/j.issn.1005-3085.2021.06.004

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基于 DEMATEL 和 VIKOR 的犹豫毕达哥拉斯模糊多属性决策方法

杨  威,   刘春欣   

  1. 西安建筑科技大学理学院，西安 710055
  • 出版日期:2021-12-15 发布日期:2022-02-15
  • 基金资助:
    国家自然科学基金 (71971163)；陕西省自然科学基金 (2019JM252).

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

YANG Wei,   LIU Chunxin   

  1. School of Science, Xi'an University of Architecture and Technology, Xi'an 710055
  • Online:2021-12-15 Published:2022-02-15
  • Supported by:
    The National Natural Science Foundation of China (71971163); the Natural Science Foundation of Shaanxi Province (2019JM252).

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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。

关键词: 犹豫毕达哥拉斯模糊集, DEMATEL, VIKOR, 组合模糊 Borda

Abstract:

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.

Key words: hesitant Pythagorean fuzzy set, DEMATEL, VIKOR, combined fuzzy Borda

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