J4 ›› 2011, Vol. 46 ›› Issue (6): 121-126.

• Articles • Previous Articles    

Identification and recovery of inward-recursion  information

LI Yuying1,2, RUAN Qunsheng1, ZHANG Shiliang1, YANG Huiling1, MAO Yanming1   

  1. 1. Department of Computer and Information Engineering, Ningde Normal University, Ningde 352100, Fujian, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2010-11-18 Online:2011-06-16 Published:2011-12-19

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

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