Complexity 2021:1-12 (2021)

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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1155/2021/5586187
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 65,703
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

The Relation Between Rough Sets And Fuzzy Sets Via Topological Spaces.M. E. Ali & T. Medhat - 2018 - International Journal of Engineering and Information Systems (IJEAIS) 2 (10):1-10.
Dynamic Topological S5.Philip Kremer - 2009 - Annals of Pure and Applied Logic 160 (1):96-116.
Topologies and Free Constructions.Anna Bucalo & Giuseppe Rosolini - 2013 - Logic and Logical Philosophy 22 (3):327-346.
A Topological Constraint Language with Component Counting.Ian Pratt-Hartmann - 2002 - Journal of Applied Non-Classical Logics 12 (3-4):441-467.
The Modal Logic of Continuous Functions on the Rational Numbers.Philip Kremer - 2010 - Archive for Mathematical Logic 49 (4):519-527.
Dynamic Topological Logic.Philip Kremer & Grigori Mints - 2005 - Annals of Pure and Applied Logic 131 (1-3):133-158.
Dynamic Topological Logic.Philip Kremer & Giorgi Mints - 2005 - Annals of Pure and Applied Logic 131 (1-3):133-158.
Effective Borel Degrees of Some Topological Functions.Guido Gherardi - 2006 - Mathematical Logic Quarterly 52 (6):625-642.
Frames and MV-Algebras.Lawrence P. Belluce & Antonio Di Nola - 2005 - Studia Logica 81 (3):357 - 385.


Added to PP index

Total views
1 ( #1,516,530 of 2,462,588 )

Recent downloads (6 months)
1 ( #449,387 of 2,462,588 )

How can I increase my downloads?


Sorry, there are not enough data points to plot this chart.

My notes