Three-way reductions of conflict analysis based on relation matrices and integration measures

IF 3.4 2区计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Applied Intelligence Pub Date : 2025-01-14 DOI:10.1007/s10489-024-06020-w

Jiang Chen, Xianyong Zhang

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Abstract

Conflicts serve as an important focus of uncertainty analysis, and their reductions facilitate the issue identification and conflict solving to become valuable but rare. At present, conflict analysis reductions mainly embrace relation matrices, and they never concern uncertainty measures with highly concentrated information. In this paper, three-way reductions of conflict analysis are transferred from relation matrices to integration measures, and corresponding heuristic reduction algorithms are constructed for information systems. At first, three-way membership degrees and three-way similarity degrees are proposed for conflict analysis, and their measurement boundedness, issue monotonicity, calculation algorithm, and transformation interrelationship are researched. Then, alliance, conflict, and neutrality reductions are proposed based on similarity degrees to acquire heuristic reduction algorithms, and they can be equivalently characterized by both membership degrees and relation matrices. Finally by table examples and data experiments, similarity degrees and relevant measurement properties are validated, and two groups of three-way reduction algorithms related to relation matrices and similarity degrees are comparatively analyzed; as a result, three-way reduction algorithms based on similarity degrees become novel and effective for conflict analysis. This study provides an in-depth insight into three-way reductions of conflict analysis from algebraic measurement.

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基于关系矩阵和集成测度的三向冲突缩减分析

冲突是不确定性分析的一个重要焦点，对冲突的还原有助于问题的识别和冲突的解决，具有重要的价值，但并不多见。目前，冲突分析的还原主要包括关系矩阵，从未涉及信息高度集中的不确定性度量。本文将冲突分析的三向还原从关系矩阵转移到整合度量，并针对信息系统构建了相应的启发式还原算法。首先，提出了用于冲突分析的三向成员度和三向相似度，并研究了它们的度量界限、问题单调性、计算算法和变换相互关系。然后，提出了基于相似度的联盟、冲突和中立性还原，从而获得启发式还原算法，它们可以等效地用成员度和关系矩阵来表征。最后通过表格示例和数据实验，验证了相似度和相关测量属性，并比较分析了与关系矩阵和相似度相关的两组三向还原算法，从而使基于相似度的三向还原算法成为冲突分析中新颖而有效的算法。本研究从代数测量的角度深入探讨了冲突分析的三向还原问题。

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来源期刊

Applied Intelligence 工程技术-计算机：人工智能

CiteScore

6.60

自引率

20.80%

发文量

1361

审稿时长

5.9 months

期刊介绍： With a focus on research in artificial intelligence and neural networks, this journal addresses issues involving solutions of real-life manufacturing, defense, management, government and industrial problems which are too complex to be solved through conventional approaches and require the simulation of intelligent thought processes, heuristics, applications of knowledge, and distributed and parallel processing. The integration of these multiple approaches in solving complex problems is of particular importance. The journal presents new and original research and technological developments, addressing real and complex issues applicable to difficult problems. It provides a medium for exchanging scientific research and technological achievements accomplished by the international community.