Affiliations: Institute of Mathematics, Białystok University, ul. Akademicka 2, 15-267 Białystok, Poland, [email protected] | Dept. of Logic and Methodology of Science, The Maria Curie-Skłodowska University, pl. Maria Curie-Skłodowska 4, 20-031 Lublin, Poland, [email protected]
Note: [] Address for correspondence: Institute of Mathematics, Białystok University, ul. Akademicka 2, 15-267 Białystok, Poland
Abstract: In this article we present three inclusion functions which characterise the nearness relation between finite sets of objects defined in line with J. F. Peters, A. Skowron, and J. Stepaniuk [26]. By means of these functions we extend the notion of nearness to the graded case where one can measure the degree to which one set is near to another one.
