A new discriminant analysis approach under decision-theoretic rough sets

  • Authors:
  • Dun Liu;Tianrui Li;Decui Liang

  • Affiliations:
  • School of Economics and Management, Southwest Jiaotong University, Chengdu, P.R. China;School of Information Science and Technology, Southwest Jiaotong University, Chengdu, P.R. China;School of Economics and Management, Southwest Jiaotong University, Chengdu, P.R. China

  • Venue:
  • RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
  • Year:
  • 2011

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Abstract

Discriminant analysis is an effective methodology to deal with the classification problem. However, most common methods including binary logistic regression in discriminant analysis rarely consider the semantics explanations such as losses or costs in decision rules. From the idea of three-way decisions in decision-theoretic rough sets (DTRS), we propose a new discriminant analysis approach by combining DTRS and binary logistic regression. DTRS is utilized to systematically calculate the corresponding thresholds with Bayesian decision procedure. Meanwhile, the binary logistic regression is employed to compute the conditional probability of three-way decisions. An empirical study validates the reasonability and effectiveness of the proposed approach.