Enhancing cyber defense strategies with discrete multi-dimensional Z-numbers: a multi-attribute decision-making approach

IF 4.6 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Aiting Yao, Huang Chen, Weiqi Zhang, Chengzu Dong, Meiqu Lu, Junjun Mao, Xiao Liu, Xuejun Li
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Abstract

With the rapid advancement of intelligent technologies and network environments, the efficient and accurate handling of uncertain decision-making information has become an urgent challenge. Traditional methods often struggle to process complex and incomplete information, especially in cyber defense. To address this, we introduce discrete multi-dimensional Z-numbers (MZs) as a mathematical tool for modeling uncertainty and reliability in network defense decisions. This paper proposes a synthesis method for MZs, enabling the integration of multi-source information while considering both uncertainty and reliability. By leveraging a hidden probability model, we extend MZs into multi-dimensional Z+-numbers, enhancing their expressiveness in handling uncertainty. Furthermore, we define utility functions based on MZs and develop a multi-attribute group decision-making framework tailored for network defense. This approach offers a novel perspective for designing strategies against highly adaptive and covert cyberattacks. The proposed method is validated through a case study on the network security assessment of an intelligent logistics company. Results demonstrate significant improvements in the accuracy and efficiency of decision-making, highlighting the method’s advantages and broad potential in cyber defense. Beyond logistics, this integrated MZ-based decision framework provides an adaptable and intelligent tool for strengthening network security defenses.

离散多维z数增强网络防御策略:一种多属性决策方法
随着智能技术和网络环境的快速发展,对不确定决策信息进行高效、准确的处理已成为一个迫切的挑战。传统方法往往难以处理复杂和不完整的信息,尤其是在网络防御中。为了解决这个问题,我们引入了离散多维z数(mz)作为网络防御决策中不确定性和可靠性建模的数学工具。本文提出了一种综合mz的方法,在兼顾不确定性和可靠性的前提下,实现多源信息的集成。通过利用隐藏概率模型,我们将mz扩展为多维Z+数,增强了它们在处理不确定性时的表达能力。在此基础上,定义了基于mz的效用函数,开发了适合网络防御的多属性群决策框架。这种方法为设计对抗高适应性和隐蔽网络攻击的策略提供了一种新的视角。以某智能物流公司网络安全评估为例,验证了该方法的有效性。结果表明,决策的准确性和效率显著提高,突出了该方法在网络防御中的优势和广泛潜力。除了物流之外,这种基于mz的集成决策框架为加强网络安全防御提供了适应性强的智能工具。
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来源期刊
Complex & Intelligent Systems
Complex & Intelligent Systems COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE-
CiteScore
9.60
自引率
10.30%
发文量
297
期刊介绍: Complex & Intelligent Systems aims to provide a forum for presenting and discussing novel approaches, tools and techniques meant for attaining a cross-fertilization between the broad fields of complex systems, computational simulation, and intelligent analytics and visualization. The transdisciplinary research that the journal focuses on will expand the boundaries of our understanding by investigating the principles and processes that underlie many of the most profound problems facing society today.
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