Abstract
Introducing the concept of function into inverse P-sets (inverse packet sets) and improving it, function inverse P-sets (function inverse packet sets) is obtained. Function inverse P-sets is the function set pair composed of function internal inverse P-set (function internal inverse packet set)\(\bar{S}^{F}\)and function outer inverse P-set (function outer inverse packet set) \(\bar{S}^{F}\), or (\(\bar{S}^{F}\),\(\bar{S}^{F}\) )is function inverse P-sets. Function inverse P-sets, which have dynamic characteristic and law characteristic (or function characteristic), can be reduced to finite general function sets S under certain condition. Inverse P-sets is obtained by introducing dynamic characteristic to finite general element setX (Cantor setX) and improving it. Inverse P-sets is the element set pair composed of internal inverse P-set \(\bar{X}^{F}\)(internal inverse packet set\(\bar{X}^{F}\)) and outer inverse P-set \(\bar{X}^{\bar{F}}\)(outer inverse packet set \(\bar{X}^{\bar{F}}\)), or \(\bar{X}^{F}\),\(\bar{X}^{F}\)is inverse P-sets which has dynamic characteristic. In this paper, the structure of function inverse P-sets and its reduction, the inverse P-information law fusion generated by function inverse P-sets, and the attribute characteristics and attribute theorems of inverse P-information law are proposed. Using these theoretical results, the hiding image and its applications generated by inverse P-information law fusion are given, which is one of the important applications of function inverse P-sets.
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Shi, KQ. (2014). Function Inverse P-sets and the Hiding Information Generated by Function Inverse P-information Law Fusion. In: Li, H., Mäntymäki, M., Zhang, X. (eds) Digital Services and Information Intelligence. I3E 2014. IFIP Advances in Information and Communication Technology, vol 445. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45526-5_22
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DOI: https://doi.org/10.1007/978-3-662-45526-5_22
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