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                                       Details for article 10 of 12 found articles
 
 
  Soft Nearness Approximation Spaces
 
 
Title: Soft Nearness Approximation Spaces
Author: Öztürk, Mehmet Ali
İnan, Ebubekir
Appeared in: Fundamenta informaticae
Paging: Volume 124 (2013) nr. 1-2 pages 231-250
Year: 2013-06-18
Contents: In 1999, Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In 2002, near set theory was initiated by J. F. Peters as a generalization of Pawlak's rough set theory. In the near set approach, every perceptual granule is a set of objects that have their origin in the physical world. Objects that have, in some degree, affinities are considered perceptually near each other, i.e., objects with similar descriptions. Also, the concept of near groups has been investigated by İnan and Öztürk [30]. The present paper aims to combine the soft sets approach with near set theory, which gives rise to the new concepts of soft nearness approximation spaces (SNAS), soft lower and upper approximations. Moreover, we give some examples and properties of these soft nearness approximations.
Publisher: IOS Press
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 10 of 12 found articles
 
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