A Regularized Monotonic Fuzzy Support Vector Machine Model for Data Mining With Prior Knowledge

Sheng Tun Li, Chih Chuan Chen

研究成果: Article同行評審

41 引文 斯高帕斯(Scopus)

摘要

Incorporating prior knowledge into data mining is an interesting but challenging problem, and this study proposes a novel fuzzy support vector machine (SVM) model to explore this issue. It considers the fact that in many applications, each input point may not be exactly labeled as one particular class, and thus, it applies a fuzzy membership to each input point. It also utilizes expert knowledge concerning the monotonic relations between the response and predictor variables, which is represented in the form of monotonicity constraints. We formulate the classification problem of a monotonically constrained fuzzy SVM, called a monotonic FSVM, derive its dual optimization problem, and theoretically analyze its monotonic property. The Tikhonov regularization method is further applied to ensure that the solution is unique and bounded. A new measure, i.e., the frequency monotonicity rate, is proposed to evaluate the ability of the model to retain the monotonicity. The results of the experiments on real-world and synthetic datasets show that this method, which considers different contributions of each data and the prior knowledge of the monotonicity, has a number of advantages with regard to predictive ability and retaining monotonicity over the original FSVM and SVM models when applied to classification problems.

原文English
文章編號6965607
頁(從 - 到)1713-1727
頁數15
期刊IEEE Transactions on Fuzzy Systems
23
發行號5
DOIs
出版狀態Published - 2015 10月

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 計算機理論與數學
  • 人工智慧
  • 應用數學

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