基于数值分布的激励型毕达哥拉斯模糊集成算子及其应用

Incentive Pythagorean fuzzy aggregation operator based on distribution of values and its application

针对毕达哥拉斯模糊环境下的多指标评价问题,根据决策信息的实际分布,提出一种基于数值分布的毕达哥拉斯模糊数等级划分方法,根据不同等级区间发展度及等级规模确定指标权重和密度权重,结合密度算子的思想,提出基于数值分布的激励型毕达哥拉斯模糊密度加权平均算子(incentive Pythagorean fuzzy density weighted average operator,I-PFDWA).将基于I-PFDWA算子的多指标评价方法运用于航空服务评价问题的结果证实了该方法的可行性和有效性.

For the multi-attribute evaluation problem under the Pythagorean fuzzy environment,according to the actual distribution of decision information,a classification method of Pythagorean fuzzy numbers based on numerical distribution is proposed.The index weight and density weight are determined according to the development degree and scale of different grade intervals.Combined with the idea of density operator,the incentive Pythagorean fuzzy density weighted average(I-PFDWA)operator based on distribution of values is proposed.The multi-index evaluation method based on I-PFDWA operator is applied to the air service evaluation problem and the results show that the method is feasible and effective.