On Variable Precision Generalized Rough Sets and Incomplete Decision Tables

Article type: Research Article

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

Affiliations: [a] Department of Information Management, National Formosa University, Huwei 63201, Yunlin, Taiwan | [b] Institute of Information Science, Academia Sinica, Nankang 115, Taipei, Taiwan | [c] Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan 48859, USA. lin1e@cmich.edu

Correspondence: [*] Address for correspondence: Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan 48859, USA.

Abstract: We present variable precision generalized rough set approach to characterize incomplete decision tables. We show how to determine the discernibility threshold for a reflexive relational decision system in the variable precision generalized rough set model. We also point out some properties of positive regions and prove a statement of the necessary condition for weak consistency of an incomplete decision table. We present two examples to illustrate the results obtained in this paper.

Keywords: Rough sets, variable precision rough set models, incomplete decision tables, consistency, relative discernibility

DOI: 10.3233/FI-2021-2014

Journal: Fundamenta Informaticae, vol. 179, no. 1, pp. 75-92, 2021