Neighborhood Systems and Variable Precision Generalized Rough Sets^*

Article type: Research Article

Authors: Syau, Yu-Ru^a | Lin, En-Bing^b | Liau, Churn-Jung^{c; †}

Affiliations: [a] Department of Information Management, National Formosa University, Huwei 63201, Yunlin, Taiwan | [b] Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan 48859, USA | [c] Institute of Information Science, Academia Sinica, Nankang 115, Taipei, Taiwan. liaucj@iis.sinica.edu.tw

Correspondence: [†] Address for correspondence: Institute of Information Science, Academia Sinica, Nankang 115, Taipei, Taiwan.

Note: [*] This work was carried out while the first author was visiting the Institute of Information Science, Academia Sinica, Taiwan.

Abstract: In this paper, we present the connection between the concepts of Variable Precision Generalized Rough Set model (VPGRS-model) and Neighborhood Systems through binary relations. We provide characterizations of lower and upper approximations for VPGRS-model by introducing minimal neighborhood systems. Furthermore, we explore generalizations by investigating variable parameters which are limited by variable precision. We also prove some properties of lower and upper approximations for VPGRS-model.

Keywords: Neighborhood systems, rough sets, variable precision rough sets, variable precision generalized rough sets, lower and upper approximations

DOI: 10.3233/FI-2017-1541

Journal: Fundamenta Informaticae, vol. 153, no. 3, pp. 271-290, 2017