Theorems proving for universal combinatorial operation model based on [A, B

Abstract

In complex system, there is conflictive or consistent relation between every factor. Universal combinatorial operation provides a valid path to resolve the problem. The conventional universal combinatorial operation model has been limited in interval [0, 1]. So this paper studies a kind of universal combinatorial operation model based on interval [a, b]. And some important theorems are given and proved, which provide a foundation for the control application of universal combinatorial operation.