Generalization of Pawlak’s rough approximation spaces by using ij-χ-open sets and its applications

Article type: Research Article

Authors: Tantawy, Osama^a | Abd Allah, Maha^b | Nawar, Ashraf^{b; *}

Affiliations: [a] Department of Mathematics, Faculty of Science, Zagazig University, Egypt | [b] Department of Mathematics, Faculty of Science, Minoufia University, Egypt

Correspondence: [*] Corresponding author. A.S. Nawar, Department of Mathematics, Faculty of Science, Minoufia University, Egypt. Tel.: +201278044784; Email: ashraf_nawar2020@yahoo.com.

Abstract: In this paper, we introduce new generalizations concepts of χ-lower and χ-upper approximations which depend on the concept of χ-sets by using the bitopological notion 12-χ-open sets. Also, we study some of their basic properties. Applications for data reduction are done on rheumatic fever data.

Keywords: 12-χ-approximation space, 12-χ-lower approximation, 12-χ-upper approximation, accuracy measure and data reduction

DOI: 10.3233/JIFS-16777

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1327-1337, 2017