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                                       Details for article 13 of 17 found articles
 
 
  Nearness of Visual Objects. Application of Rough Sets in Proximity Spaces
 
 
Title: Nearness of Visual Objects. Application of Rough Sets in Proximity Spaces
Author: Peters, James F.
Skowron, Andrzej
Stepaniuk, Jaroslaw
Appeared in: Fundamenta informaticae
Paging: Volume 128 (2013) nr. 1-2 pages 159-176
Year: 2013-11-14
Contents: The problem considered in this paper is how to describe and compare visual objects. The solution to this problem stems from a consideration of nearness relations in two different forms of Efremovič proximity spaces. In this paper, the visual objects are picture elements in digital images. In particular, this problem is solved in terms of the application of rough sets in proximity spaces. The basic approach is to consider the nearness of the upper and lower approximation of a set introduced by Z. Pawlak during the early 1980s as a foundation for rough sets. Two forms of nearness relations are considered, namely, a spatial EF- and a descriptive EF-relation. This leads to a study of the nearness of objects either spatially or descriptively in the approximation of a set. The nearness approximation space model developed in 2007 is refined and extended in this paper, leading to new forms of nearness approximation spaces. There is a natural transition from the two forms of nearness relations introduced in this article to the study of nearness granules.
Publisher: IOS Press
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 13 of 17 found articles
 
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