区间犹豫模糊Bonferroni mean算子在多属性决策中的应用

发布时间：2019-04-09 09:13

【摘要】：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。
[Abstract]:A multi-attribute decision making method based on interval hesitation fuzzy Bonferroni mean operator is proposed to solve the multi-attribute decision making problem in which the interaction between input variables and the evaluation value of experts as interval hesitation fuzzy information are taken into account in information integration. Considering that the Bonferroni mean (BM) operator can well reflect the interaction between input variables, two new integration operators are proposed for the first time, in which the evaluation value is interval hesitant fuzzy set information environment. That is interval hesitation fuzzy Bonferroni mean (IVHFBM) operator and interval hesitation fuzzy geometric Bonferroni mean (IVHFGBM) operator. Some related properties are also discussed. At the same time, the interval hesitation fuzzy weighted Bonferroni mean (IVHFWBM) operator and interval hesitant fuzzy weighted geometric Bonferroni mean (IVHFWGBM) operator are defined based on the different importance of input variables. In this paper, a multi-attribute decision-making method based on IVHFWBM operator and IVHFWGBM operator is proposed for the decision-making problem in which the evaluation information is represented by interval hesitation fuzzy set. Finally, the feasibility and effectiveness of the method are proved by an example.
【作者单位】：重庆科技学院工商管理学院;北京理工大学管理与经济学院;
【基金】：重庆社会规划博士项目(2016BS087)
【分类号】：C934

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