区间犹豫模糊Bonferroni mean算子在多属性决策中的应用

针对在信息集成时, 需要考虑输入变量之间的相互影响以及专家评价值为区间犹豫模糊信息的多属性决策问题, 提出一种基于区间犹豫模糊Bonferroni mean算子的多属性决策方法。考虑到由于Bonferroni mean(BM)算子能够良好的反映输入变量之间相互影响, 首次提出了评价值为区间犹豫模糊集信息环境下的两种新的集成算子, 即区间犹豫模糊Bonferroni mean(IVHFBM)算子和区间犹豫模糊几何Bonferroni mean(IVHFGBM)算子。并讨论了其相关的一些特性。同时基于输入变量会具有不同重要程度的情况, 定义了区间犹豫模糊加权Bonferroni mean(IVHFWBM)算子和区间犹豫模糊加权几何Bonferroni mean(IVHFWGBM)算子。针对评价信息以区间犹豫模糊集表示的决策问题, 提出了基于IVHFWBM算子和IVHFWGBM算子的多属性决策方法。最后通过实例证明了该方法的可行性和有效性。

Interval-valued Hesitant Fuzzy Bonferroni Mean Operators and Their Application to Multiple Attribute Decision Making

A multiple attribute decision making method based on interval dependent fuzzy Bonferroni mean operator is proposed to solve the multiple attribute decision making problems when the interaction between input variables and expert evaluation value is interval hesitation fuzzy information. Considering that the Bonferroni mean(BM)operator can well reflect the influence of the input variables, we first propose two new integrated operators with the evaluation value as the interval hesitation fuzzy information environment, namely, the interval bonus fuzzy Bonferroni mean(IVHFBM)operator and interval hesitation fuzzy geometry Bonferroni mean(IVHFGBM)operator. And we discussed some of its related characteristics. At the same time, the Bonferroni mean(IVHFWBM)operator and the interval bonus fuzzy weighted geometric Bonferroni mean (IVHFWGBM) operator are defined based on the case where the input variables will have different degrees of importance. A multiple attribute decision making method based on IVHFWBM operator and IVHFWGBM operator is proposed to solve the decision problem of interval hesitation fuzzy set. Finally, an example is given to illustrate the application of these operators in interval hesitation fuzzy multiple attribute decision making. The results show that the method is feasible and effective.