Probability approach for interval-valued ordered decision systems in dominance-based fuzzy rough set theory

Article type: Research Article

Authors: Dai, Jianhua^{a; b; *} | Zheng, Guojie^b | Han, Huifeng^b | Hu, Qinghua^a | Zheng, Nenggan^c | Liu, Jun^d | Zhang, Qilai^a

Affiliations: [a] School of Computer Science and Technology, Tianjin University, Tianjin, China | [b] College of Computer Science and Technology, Zhejiang University, Hangzhou, China | [c] Qiushi Academy for Advanced Studies, Zhejiang University, Hangzhou, China | [d] College of Biomedical Engineering & Instrument Science, Zhejiang University, Hangzhou, China

Correspondence: [*] Corresponding author. Jianhua Dai. Tel.: +86 17092262915; E-mail: [email protected].

Abstract: Interval-valued data exist in many practical situations, due to various factors such as random error, incompletion or inaccuracy. In rough set theory, interval-valued decision systems can be viewed as generalized models of single-valued decision systems. In this paper, from the viewpoint of interval variable, we propose a new dominance relation based on probability distribution. Consequently, dominance-based rough set model for interval-valued ordered decision systems is constructed with the proposed dominance relation. Moreover, the proposed model examines attribute reduction in interval-valued ordered decision systems.

Keywords: Interval-valued ordered decision systems, fuzzy rough set model, dominance, probability distribution, degree of preference, attribute reduction

DOI: 10.3233/JIFS-152640

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 703-710, 2017