计算机科学

计算机科学 ›› 2020, Vol. 47 ›› Issue (8): 144-150.doi: 10.11896/jsjkx.190800041

• 数据库&大数据&数据科学 • 上一篇    下一篇

基于直觉犹豫模糊集的三支决策模型及其应用

陈玉金, 徐吉辉, 史佳辉, 刘宇   

  1. 空军工程大学装备管理与无人机工程学院 西安 710051
  • 出版日期:2020-08-15 发布日期:2020-08-10
  • 通讯作者: 徐吉辉(changan6018@163.com)
  • 作者简介:ivan@mail.dlut.edu.cn
  • 基金资助:
    国家自然科学基金(71701210)

Three-way Decision Models Based on Intuitionistic Hesitant Fuzzy Sets and Its Applications

CHEN Yu-jin, XU Ji-hui, SHI Jia-hui, LIU Yu   

  1. College of Equipment Management & UAV Engineering, Air Force Engineering University, Xi’an 710051, China
  • Online:2020-08-15 Published:2020-08-10
  • About author:CHEN Yu-jin, born in 1992, Ph.D.His main research interests include rough set & three-way decision-making, and analysis of equipment system safety.
    XU Ji-hui, born in 1974, Ph.D, professor, Ph.D supervisor.His main research interests include equipment safety and airworthiness management.
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (71701210).

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摘要： 决策者本身的能力限制以及被评价对象存在的不确定性, 导致三支决策模型在处理信息模糊以及由主观认知概念模糊而产生犹豫的决策问题时表现力不足。为解决上述问题, 文中引入直觉犹豫模糊集建立相应的三支决策模型。首先, 考虑到直觉犹豫模糊集包含多个隶属度的特性, 建立单一直觉模糊数的三支决策方法。基于此, 在风险代价矩阵确定的情况下, 以直觉犹豫模糊集为论域建立基于直觉犹豫模糊集的三支决策模型。然后, 考虑到特定应用环境的语义解释, 形成了乐观、悲观以及少数服从多数的决策规则。最后, 结合航空领域的安全风险评估方法, 给出了基于双评价函数的航空安全风险三支决策方法, 并通过算例说明所提模型的具体应用过程。

关键词: 风险分析, 决策粗糙集, 三支决策, 直觉犹豫模糊集

Abstract: Due to the ability limitations of decision makers and the uncertainty of the objects being evaluated, the three-way decision models have insufficient expressive power in dealing with hesitant and fuzzy decision problems caused by fuzzy information and subjective cognitive concepts.In order to solve the above shortcomings, the intuitionistic fuzzy set is introduced to establish the corresponding three-way decision models.Firstly, considering that intuitionistic hesitant fuzzy set contains the characteristics of multiple membership degrees, the three-way decision method based on single intuitionistic fuzzy number is established in the case of determining the risk cost matrix.On this basis, three-way decision models based on intuitionistic hesitation fuzzy sets are established by using intuitionistic hesitation fuzzy sets as the domain.Then, taking into account the semantic interpretation of particular environment, decision-making rules based on optimism, pessimism, and minority obedience are formed.Finally, combining with the safety risk assessment methods in the aviation field, three-way decision methods of aviation safety risk based on double evaluation function are presented, and the concrete application process of the model is illustrated by an example.

Key words: Decision-theoretic rough sets, Intuition hesitant fuzzy sets, Risk analysis, Three-way decision method

中图分类号: 

  • TP181
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