Results on Axiomatic Definition of State Variable Weight Vector
关于状态变权向量公理化定义的若干结果

In this paper, functions of each condition in the original definition of state variable weights vector are researched in detail. A new improved definition is proposed and some constraints relevant to it are discussed. A conjecture given by Liu Wenqi is reconsidered, and a solution to the conjecture under some condition is found out. Finally, relationships between two improved definitions of state variable weight vectors given in related literatures are analyzed. From the viewpoint of equivalence of state variable weight vectors, for two modified definitions, it is proved that one implies another.