Fuzzy three-way rule learning and its classification methods

IF 3.2 1区 数学 Q2 COMPUTER SCIENCE, THEORY & METHODS
Mingjie Cai , Mingzhe Yan , Zhenhua Jia
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引用次数: 0

Abstract

Rules play a crucial role in classification tasks, driving the advancement of artificial intelligence. However, how to improve the interpretability of extracted rules while ensuring the performance of classification tasks is always a challenge, owing to the diversity of data types. Since three-way decision rules derive and explain from positive and negative aspects and provide more detailed information than general rules, this article explores fuzzy three-way rule learning from the perspective of two-way granular reduct by taking the FCA-based granular computing method as a framework. Specifically, we first present the object-induced fuzzy three-way granular rules and the object-induced two-way fuzzy three-way rules. Then, the fuzzy three-way rule-based dynamic updating method (FTRDUM) and the weight-based voting method are proposed to improve the classification performance. Finally, to illustrate the effectiveness of FTRDUM, some numerical experiments are conducted. The results show the superiority of the proposed algorithm in classification accuracy.

模糊三向规则学习及其分类方法
规则在分类任务中发挥着至关重要的作用,推动着人工智能的进步。然而,由于数据类型的多样性,如何在确保分类任务性能的同时提高提取规则的可解释性始终是一个挑战。由于三向决策规则从正反两方面进行推导和解释,能提供比一般规则更详细的信息,因此本文以基于 FCA 的粒度计算方法为框架,从双向粒度还原的角度探讨模糊三向规则学习。具体来说,我们首先介绍了对象诱导的模糊三向粒度规则和对象诱导的双向模糊三向规则。然后,提出了基于模糊三向规则的动态更新方法(FTRDUM)和基于权重的投票方法,以提高分类性能。最后,为了说明 FTRDUM 的有效性,我们进行了一些数值实验。结果表明,所提出的算法在分类准确性方面具有优势。
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来源期刊
Fuzzy Sets and Systems
Fuzzy Sets and Systems 数学-计算机:理论方法
CiteScore
6.50
自引率
17.90%
发文量
321
审稿时长
6.1 months
期刊介绍: Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.
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