不等权泛平均运算模型研究

泛平均运算模型是为了满足连续值逻辑中逻辑折衷的需求而提出的。鉴于现有的泛平均运算模型描述的是 一种理想的等权情况，给出了两种加权算子泛平均运算模型，提出了一种不等权泛平均运算模型及其对偶模型，并指 出加权算术平均算子、加权几何平均算子、加权调和平均算子、广义加权平均算子等都是其对偶模型的特例。最后比 较了广义加权平均运算模型和不等权泛平均运算模型的异同。

Research of Unequal Weighted Universal Average Operation Model

Universal average operation model can satisfy the requirement of logic compromise of continuous valued logic. But the existing universal average operation only discusses an ideal state that every factor is with equal weight Two kinds of weighted operators were given, and unectual weighted universal average operation model and its dual model were proposed. It is pointed out that weighted arithmetic average operator, weighted geometric average operator, wcigh- ted harmonic average operator, and general average operator with weight are special cases in dual model of unequal weighted universal average operation model. Finally, we compared similarities and differences between general average with weight and unequal weighted universal average operation model.