Topological Approaches for Rough Continuous Functions with Applications | Zendy

A.S. Salama | Zendy; Abdelwaheb Mhemdi | Zendy; O. G. Elbarbary | Zendy; Tareq M. Al-shami | Zendy

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Topological Approaches for Rough Continuous Functions with Applications

Author(s) -

A.S. Salama,

Abdelwaheb Mhemdi,

O. G. Elbarbary,

Tareq M. Al-shami

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/5586187

Subject(s) - rough set , mathematics , topology (electrical circuits) , function (biology) , topological space , relation (database) , pure mathematics , computer science , data mining , combinatorics , evolutionary biology , biology

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.

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