Abstract: 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 arc continuously variable operator cluster along with both generalized self-correlation coefficient k and generalined 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.

Key words: Flexible logic, Generalized self-correlation coefficient, Ueneralized correlation coefficient, Average operation model， [0，∞)value