网络系统行为效用计算——概念与原理

胡昌振

doi:10.1016/j.eng.2018.02.010

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工程（英文） ›› 2018, Vol. 4 ›› Issue (1) : 78-84. DOI: 10.1016/j.eng.2018.02.010

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网络系统行为效用计算——概念与原理

胡昌振 ^*

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Calculation of the Behavior Utility of a Network System: Conception and Principle

Changzhen Hu ^*

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Abstract

The service and application of a network is a behavioral process that is oriented toward its operations and tasks, whose metrics and evaluation are still somewhat of a rough comparison. This paper describes scenes of network behavior as differential manifolds. Using the homeomorphic transformation of smooth differential manifolds, we provide a mathematical definition of network behavior and propose a mathematical description of the network behavior path and behavior utility. Based on the principle of differential geometry, this paper puts forward the function of network behavior and a calculation method to determine behavior utility, and establishes the calculation principle of network behavior utility. We also provide a calculation framework for assessment of the network’s attack-defense confrontation on the strength of behavior utility. Therefore, this paper establishes a mathematical foundation for the objective measurement and precise evaluation of network behavior.

Keywords

Network metric evaluation / Differential manifold / Network behavior utility / Network attack-defense confrontation

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胡昌振. 网络系统行为效用计算——概念与原理. Engineering. 2018, 4(1): 78-84 https://doi.org/10.1016/j.eng.2018.02.010

参考文献

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[1]	W.V.O. Quine. From a logical point of view. Chen Q, Jiang T, Zhang J, Song W, translators. China Renmin University Press, Beijing (2007) [Chinese].
[2]	W.R. Scott, G.F. Davis. Organizations and organizing rational, natural, and open system perspectives. Gao J, translator. China Renmin University Press, Beijing (2011) [Chinese].
[3]	An unabridged comprehensive dictionary. Shanghai Lexicographic Publishing House, Shanghai (2001) [Chinese].
[4]	K. Lewin. Principles of topological psychology. Gao J, translator. The Commercial Press, Beijing (2009) [Chinese].
[5]	M.C. Jackson. Systems thinking: Creative holism for managers. Gao F, Li M, translators. China Renmin University Press, Beijing (2005) [Chinese].
[6]	E. Waltz. Information warfare: Principles and operations. Wu H, translator. Publishing House of Electronics Industry, Beijing (2004) [Chinese].
[7]	S.S. Chern, W. Chen. Lectures on differential geometry. Peking University Press, Beijing (2001) [Chinese].
[8]	K. Huang, M. Xue, M. Lu. Tensor analysis. (2nd ed.), Tsinghua University Press, Beijing (2009) [Chinese].
[9]	D. Kozlov. Combinatorial algebraic topology. Science Press, Beijing (2011)
[10]	T. Ma. Manifold topology—Theory and conceptual essence. Science Press, Beijing (2010) [Chinese].
[11]	R. Bott, L.W. Tu. Differential forms in algebraic topology. World Publishing Corporation, Beijing (2011)
[12]	R.V. Gamkrelidze (Ed.), Geometry I:Basic ideas and concepts of differential geometry, Science Press, Beijing (2009)