一种新的概率语言Power算子及其应用

A New Probabilistic Linguistic Power Operator and Its Applications

本文结合新的支撑度,在概率语言术语集的信息上利用转换函数g给出新的概率语言Power平均(PLPA)算子,概率语言Power几何平均(PLPG)算子,概率语言Power有序加权平均(PLPOWA)算子和概率语言Power有序加权几何平均(PLPOWG)算子的概念。通过分析举例,得到了这几类算子的幂等性,有界性等性质与经典的Power算子基本性质并不等同的结论。最后通过实例将PLPA算子和已有的概率语言Power平均算子作对比分析,说明我们所给算子的有效性。

The new concepts of the probabilistic linguistic power average(PLPA) operator, the probabilistic linguistic Power geometric average(PLPG) operator, the probabilistic linguistic power ordered weighted average(PLPOWA) operator and the probabilistic linguistic power ordered weighted geometric(PLPOWG) operator are given by using the conversion function based on the new degree of support. By analyzing and giving examples, we get the conclusion that the idempotency and boundedness of these operators are not the same as the basic properties of classical Power operators. Finally, an example is given to compare PLPA operator with the existing probability linguistic Power average operator, and the effectiveness of the operator is illustrated.