On Graded Nearness of Sets

  • Authors:
  • Anna Gomolińska;Marcin Wolski

  • Affiliations:
  • Institute of (Correspd.) Mathematics, Białystok University, ul. Akademicka 2, 15-267 Białystok, Poland, anna.gom@math.uwb.edu.pl;Dept. of Logic and Methodology of Science, The Maria Curie-Skłodowska University, pl. Maria Curie-Skłodowska 4, 20-031 Lublin, Poland, marcin.wolski@umcs.lublin.pl

  • Venue:
  • Fundamenta Informaticae - Concurrency Specification and Programming (CS&P)
  • Year:
  • 2012

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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.