[0,∞)值柔性逻辑中平均运算模型的研究

Research of [0,∞) Value Flexible Logic Average Operation Model

在柔性逻辑中,不仅命题真值的连续可变性对命题连接词运算模型有影响,而且命题间关系的连续可变性对命题连接词运算模型也有影响。柔性逻辑中的逻辑算子是在其定义域上随广义自相关系数k和广义相关系数h连续变化的算子簇。详细研究了柔性逻辑平均算子,定义了[0,∞)值零级和一级柔性逻辑平均运算模型。为保证逻辑运算模型的零级完整性,该模型在其定义域内,从最大算子经过概率算子和中心算子,到最小算子单调连续变化,证明了该区间上的4个特殊算子形式。

Not only the continuous changeability of propositional truth value,but also the continuous changeability of relations among propositions influence the operation models of propositional connectives in flexible logics.Flexible logic operators are continuously variable operator cluster along with both generalized self-correlation coefficient k and genera-lized correlation coefficient h.This paper studied the flexible average operators,and presented the definition of 0-level and 1-level [0,∞） value logic average operation models.To ensure the 0-level integrity of the model,the average operator cluster in its existential domain,continuously and monotonously transforms from the maximal average operator,passing through probability average operator and central average operator to the minimal average operator,and the four special operators on [0,∞） are proved.