Near Approximations in Gm-Closure Spaces. (15th May 2012)

• Record Type: Journal Article
• Authors: Abd El-Monsef, M. E.; Shokry, M.; Yousif, Y. Y.
• Other Names: Doltsinis I. Academic Editor.; Hu H.-T. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2012(2012)
• Publication Date: 2012-05-15
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.5402/2012/240315
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : Most real-life situations need some sort of approximation to fit mathematical models. The beauty of using topology in approximation is achieved via obtaining approximation for qualitative subgraphs without coding or using assumption. The aim of this paper is to apply near concepts in the G m -closure approximation spaces. The basic notions of near approximations are introduced and sufficiently illustrated. Near approximations are considered as mathematical tools to modify the approximations of graphs. Moreover, proved results, examples, and counterexamples are provided.