Computer Engineering and Applications ›› 2020, Vol. 56 ›› Issue (1): 53-62.DOI: 10.3778/j.issn.1002-8331.1901-0037

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Interval Hesitant Trapezoidal Fuzzy Bonferroni Mean Operator and Its Application

ZHANG Di, CHENG Yangjin, YANG Liu   

  1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, China
  • Online:2020-01-01 Published:2020-01-02

区间犹豫梯形模糊Bonferroni Mean算子及其应用

张迪,成央金,杨柳   

  1. 湘潭大学 数学与计算科学学院,湖南 湘潭 411105

Abstract: Combining hesitant fuzzy sets and interval trapezoidal fuzzy numbers, the concept of interval hesitant trapezoidal fuzzy sets is proposed for the first time. Considering that the interaction between input variables in information integration process, the Interval Hesitant Trapezoidal Fuzzy Bonferroni Mean(IVHTrFBM) operator and Interval Hesitant Trapezoidal Fuzzy Geometric Bonferroni Mean(IVHTrFGBM) operator are proposed, and their properties and special cases are discussed; according to the importance of input variables, the Interval Hesitant Trapezoidal Fuzzy Weighted Bonferroni Mean(IVHTrFWBM) operator and Interval Hesitant Trapezoidal Fuzzy Weighted Geometric Bonferroni Mean(IVHTrFWGBM) operator are proposed. Finally, an interval hesitant trapezoidal fuzzy multi-attribute decision making method based on IVHTrFWBM operator and IVHTrFWGBM operator is proposed and verified by an example.

Key words: multi-attribute decision making, Interval Hesitant Trapezoidal Fuzzy Bonferroni Mean(IVHTrFBM) operator, Interval Hesitant Trapezoidal Fuzzy Geometric Bonferroni Mean(IVHTrFGBM) operator

摘要: 结合犹豫模糊集和区间梯形模糊数,提出了区间犹豫梯形模糊集的概念;针对信息集成过程中需要考虑输入变量之间的相互影响,提出了区间犹豫梯形模糊Bonferroni Mean(IVHTrFBM)算子和区间犹豫梯形模糊几何Bonferroni Mean(IVHTrFGBM)算子,并讨论了它们的性质和特例;根据输入变量的重要程度不同,提出了区间犹豫梯形模糊加权Bonferroni Mean(IVHTrFWBM)算子和区间犹豫梯形模糊加权几何Bonferroni Mean(IVHTrFWGBM)算子。最后,提出了基于IVHTrFWBM算子和IVHTrFWGBM算子的区间犹豫梯形模糊多属性决策方法,并通过实例进行验证。

关键词: 多属性决策, 区间犹豫梯形模糊Bonferroni Mean(IVHTrFBM)算子, 区间犹豫梯形模糊几何Bonferroni Mean(IVHTrFGBM)算子