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Published in:
01-12-2011 | Original Article
Function P-sets
Published in: International Journal of Machine Learning and Cybernetics | Issue 4/2011
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Abstract
P-sets (packet sets) is improved by introducing function into it, and the concept and structure of function P-sets (function packet sets) is proposed, which is a set pair composed of the function internal P-set \( S^{{\bar{F}}} \)(function internal packet set \( S^{{\bar{F}}} \)) and the function outer P-set S
F
(function outer packet set S
F
). Function P-sets has dynamic characteristics and law characteristics. Under certain conditions, function P-sets can return to the “origin” of function ground sets S. In the paper, it is proved that function P-sets is extension of P-sets, conversely, P-sets is special case of function P-sets. Applications of function P-sets in discovery of unknown information laws hidden information systems, are provided. Function P-sets is a new theory and a new method to research dynamic information laws for information systems.