TY - JOUR
T1 - Neighborhood Systems
T2 - Rough Set Approximations and Definability
AU - Syau, Yu Ru
AU - Lin, En Bing
AU - Liau, Churn Jung
N1 - Funding Information:
We would like to thank the anonymous referees for their valuable comments which helped to improve the manuscript. This work was partially supported by a grant from the Ministry of Science and Technology (TAIWAN) No. MOST 106-2221-E-150-040-. The work of the second author was partially supported from CMU FRCE funding.
Publisher Copyright:
© 2018 IOS Press.
PY - 2018
Y1 - 2018
N2 - The notions of approximation and definability in classical rough set theory and their generalizations have received much attention. In this paper, we study such generalizations from the perspective of neighborhood systems. We introduce four different types of definability, called interior definability, closure definability, interior-closure (IC) definability, and weak IC definability respectively. We also point out the relationship between IC definability and other types of definability for some special kinds of neighborhood systems. Several examples are presented to illustrate the concepts introduced in this paper.
AB - The notions of approximation and definability in classical rough set theory and their generalizations have received much attention. In this paper, we study such generalizations from the perspective of neighborhood systems. We introduce four different types of definability, called interior definability, closure definability, interior-closure (IC) definability, and weak IC definability respectively. We also point out the relationship between IC definability and other types of definability for some special kinds of neighborhood systems. Several examples are presented to illustrate the concepts introduced in this paper.
UR - http://www.scopus.com/inward/record.url?scp=85063299689&partnerID=8YFLogxK
U2 - 10.3233/FI-2018-1670
DO - 10.3233/FI-2018-1670
M3 - Article
AN - SCOPUS:85063299689
SN - 0169-2968
VL - 159
SP - 429
EP - 450
JO - Fundamenta Informaticae
JF - Fundamenta Informaticae
IS - 4
ER -