区间犹豫梯形模糊Bonferroni Mean算子及其应用

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。

Interval Hesitant Trapezoidal Fuzzy Bonferroni Mean Operator and Its Application

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.