T-Rough Approximation Pairs and Covering Based Rough Sets

Issue title: Rough Sets and Fuzzy Sets

Article type: Research Article

Authors: Zhang, Xiaohong^{a; *; †} | Zhang, Yanning^b | Xue, Zhanao^c | Ma, Yingcang^d

Affiliations: [a] Department of Mathematics, College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, China. zxhonghz@263.net, zhangxh@shmtu.edu.cn | [b] School of Computer Science, Northwestern Polytechnical University, Xi’an Shaanxi 710072, China | [c] College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China | [d] School of Science, Xi’an Polytechnic University, Xi’an 710048, Shaanxi, China

Correspondence: [†] Address for correspondence: Department of Mathematics, College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, China

Note: [*] This work is supported by National Natural Science Foundation of China (No. 61175044 and No. 61473239) and Innovation Program of Shanghai Municipal Education Commission (No. 13ZZ122).

Abstract: The relationships between T-rough sets and covering based rough sets are investigated, and two kinds of generated methods of rough approximation operators from existing rough sets are established. Moreover, applying the aforementioned generated methods of approximation operators, S-rough sets and some new covering-based rough sets are introduced and their basic properties are discussed.

Keywords: Rough approximation pair, Closeness, Covering, T-rough set, S-rough set

DOI: 10.3233/FI-2015-1291

Journal: Fundamenta Informaticae, vol. 142, no. 1-4, pp. 195-212, 2015