Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making

[摘要] The Bonferroni mean (BM) operator is an important aggregation technique which reflects the correlations of aggregated arguments. Based on the BM and harmonic mean operators, H. Sun and M. Sun (2012) developedthe fuzzy Bonferroni harmonic mean (FBHM) and fuzzy ordered Bonferroni harmonic mean (FOBHM) operators. In thispaper, we study desirable properties of these operators and extend them, by considering the correlations of any three aggregatedarguments instead of any two, to develop generalized fuzzy weighted Bonferroni harmonic mean (GFWBHM) operatorand generalized fuzzy ordered weighted Bonferroni harmonic mean (GFOWBHM) operator. In particular, all these operatorscan be reduced to aggregate interval or real numbers. Then based on the GFWBHM and GFOWBHM operators, we presentan approach to multiple attribute group decision making and illustrate it with a practical example.

[学科分类] 应用数学