自适应规则形状提升模糊分类系统性能
Fuzzy-UCS Revisited: Self-Adaptation of Rule Representations in Michigan-Style Learning Fuzzy-Classifier Systems
- 引入模糊指示器动态调整规则形状为矩形或三角形
- 在连续空间测试中分类准确率优于传统方法
- 对噪声和缺失值等不确定数据表现稳健
本文研究了密歇根风格模糊分类系统(LFCS)中规则表示对分类性能的影响。良好的规则表示对系统性能至关重要,但传统表示难以应对未知数据特征。为此,本文提出一种带有自适应规则表示机制的监督式模糊分类系统(Adaptive-UCS)。该系统引入模糊指示器作为新规则参数,可将规则的隶属函数设为矩形(即非模糊)或三角形(即模糊)形状,并通过进化算子优化该参数,使系统自动搜索最优规则表示。大量实验结果表明,在连续空间问题上,Adaptive-UCS 的分类准确率优于采用传统非模糊超矩形或模糊超梯形表示的其他 UCS 系统。此外,该系统在存在噪声输入及真实世界中固有不确定性(如缺失值)的情况下仍能保持稳定分类性能。
原文摘要 · Abstract (English)
This paper focuses on the impact of rule representation in Michigan-style Learning Fuzzy-Classifier Systems (LFCSs) on its classification performance. A well-representation of the rules in an LFCS is crucial for improving its performance. However, conventional rule representations frequently need help addressing problems with unknown data characteristics. To address this issue, this paper proposes a supervised LFCS (i.e., Fuzzy-UCS) with a self-adaptive rule representation mechanism, entitled Adaptive-UCS. Adaptive-UCS incorporates a fuzzy indicator as a new rule parameter that sets the membership function of a rule as either rectangular (i.e., crisp) or triangular (i.e., fuzzy) shapes. The fuzzy indicator is optimized with evolutionary operators, allowing the system to search for an optimal rule representation. Results from extensive experiments conducted on continuous space problems demonstrate that Adaptive-UCS outperforms other UCSs with conventional crisp-hyperrectangular and fuzzy-hypertrapezoidal rule representations in classification accuracy. Additionally, Adaptive-UCS exhibits robustness in the case of noisy inputs and real-world problems with inherent uncertainty, such as missing values, leading to stable classification performance.
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