运筹与管理2017,Vol.26Issue(9):13-20,8.DOI:10.12005/orms.2017.0205
区间犹豫模糊Bonferroni mean算子在多属性决策中的应用
Interval-valued Hesitant Fuzzy Bonferroni Mean Operators and Their Application to Multiple Attribute Decision Making
摘要
Abstract
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 (IVHF-WBM) 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.关键词
多属性决策(MADM)/区间犹豫模糊集(IVHFS)/区间犹豫模糊Bonferroni mean(IVHFBM)算子/区间犹豫模糊几何Bonferroni mean(IVHFGBM)算子Key words
multiple attribute decision making(MADM)/interval-valued hesitant fuzzy set(IVHFS)/interval-valued hesitant fuzzy Bonferroni mean(IVHFBM) operator/interval-valued hesitant fuzzy geometric Bonferroni mean (IVHFGBM) operator分类
管理科学引用本文复制引用
于倩,侯福均,杜玉琴,翟玉冰..区间犹豫模糊Bonferroni mean算子在多属性决策中的应用[J].运筹与管理,2017,26(9):13-20,8.基金项目
重庆社会规划博士项目(2016BS087) (2016BS087)