Abstract:

Information which has a recursive characteristic in the process of transmission is generated because its information elements are continuously lost. By using P-sets which is a new mathematic tool and has dynamic characteristics, the concept of inwardrecursion information is proposed, and the structure of inward-recursion is given. Theorems are obtained such as the sequence theorem of inwardrecursion information, the merging theorem of loss information, identification and recovery theorems of inwardrecursion information. By defining the modulus and the identification measure on inwardrecursion information, the numerical value methods of identification and recovery are obtained. Also, the identification criterion of inwardrecursion information is given. Finally, the application of identification and recovery is presented.

Key words: P-sets; inwardrecursion information; inward-recursion information modulus; inward-recursion information identification measure; identification criterion; identification-recovery