Multi-granularity soft rough set and its application in multi-attribute decision making

Article type: Research Article

Authors: Wang, Xiaomin^{a; *; 1} | Liu, Ying^b | Li, Piyu^a | Liu, Jianbo^a

Affiliations: [a] School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei, P.R. China | [b] College of Science, Northeastern University, Shenyang, P.R. China

Correspondence: [*] Corresponding author. Xiaomin Wang, School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei 066004, P.R. China. Tel./Fax: +86 03358064341; E-mail: [email protected].

Note: [1] This work is partially supported by Nature Science Foundation of Hebei Province under Grant No. F2014501046.

Abstract: In this paper, new concepts such as multi-granularity soft rough sets and multi-granularity soft relative attribute reduction are introduced. Basic properties of multi-granularity soft rough approximations are presented and illustrated by examples. A multi-granularity soft decision system is constructed based on multi-granularity soft rough sets. Furthermore, an algorithm for multi-attribute decision-making problems is proposed. Finally, the validity of this method is proved by the application of the component retrieval problem.

Keywords: Soft rough set, multi-granularity soft rough set, multi-granularity soft decision system, multi-granularity soft relative attribute reduction, decision rule

DOI: 10.3233/JIFS-161498

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 4, pp. 2033-2045, 2017