Analysis on Limitation Origins of Information Theory

Abstract

Abstract. The limitations of Shannon information theory are pointed out from new perspectives. The limitations mainly exist in the neglects of the information reliability and completeness. The significances of the information reliability to the information measurements are further illustrated through example analysis. It is pointed out that such limitations originate from neglects of multilevel information uncertainties, uncertainty of the model and other objects of information system, and insufficient knowledge on uncertainties of probability values.Keywords: information theory, communication, reliability, model, uncertainty, probability. IntroductionShannon information theory is aimed at the communication issues, and is not quite necessarily applicable to the information issues in the reality [1], and his infor-mation theory is called the special information theory by the later researchers. Aimed at the general information, some researchers have developed comprehensive information theory, generalized information theory, unified information theory etc [2][3][4][5], in which some limitations of the special information theory are identified, but no one of these information theories can eliminate all the limitations of information theories. In this paper, we attempt to analyze the limitations of the special information theory from some new perspectives. Limitations of Shannon Information Theory in the RealityThe currently recognized limitations of Shannon information theory are mainly as follows: Firstly, only the random uncertainty is considered in his information theory, while the uncertainties such as the limitations of sets in information expressions and the information fuzziness etc are not considered. Aimed at this issue, some researchers have developed the theories of fuzzy sets and rough sets. Secondly, neither the semantic nor the pragmatic aspects are considered in Shannon information theory,

Uma análise da região de capacidade de canal em transmissões com múltiplos receptores

“…Segundo Wang et al (2012), a maioria das limitações da Teoria da Informação está enraizada na negligência da incerteza onipresente dos objetos sobre o sistema de informação, como a incerteza do modelo, parâmetros, algoritmos, funções, participante e processo. Pode-se simplificar o problema de informação usando determinado objeto para substituir objetos incertos, isso é muito benéfico para a pesquisa e pode transformar os problemas de realidade em modelo matemático para ser processado pelo método matemático, mas isso impõe limitações e restringe a liberdade de problemas.…”