Topological Approaches for Rough Continuous Functions with Applications. (30th March 2021)

• Record Type: Journal Article
• Authors: Salama, A. S.; Mhemdi, A.; Elbarbary, O. G.; Al-shami, T. M.
• Other Names: Khalil Ahmed Mostafa Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-03-30
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/5586187
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this paper, we purposed further study on rough functions and introduced some concepts based on it. We introduced and investigated the concepts of topological lower and upper approximations of near-open sets and studied their basic properties. We defined and studied new topological neighborhood approach of rough functions. We generalized rough functions to topological rough continuous functions by different topological structures. In addition, topological approximations of a function as a relation were defined and studied. Finally, we applied our approach of rough functions in finding the images of patient classification data using rough continuous functions.