Rough sets models inspired by supra-topology structures
TM Al-Shami, I Alshammari - Artificial Intelligence Review, 2023 - Springer
Our aim of writing this manuscript is to found novel rough-approximation operators inspired
by an abstract structure called “supra-topology”. This approach is more relaxed than …
by an abstract structure called “supra-topology”. This approach is more relaxed than …
Topological structures in rough set theory: a survey
Rough set theory provides a mathematical tool to study vague, imprecise, inconsistent and
uncertain knowledge. The topological notions are closely related to the notions and results …
uncertain knowledge. The topological notions are closely related to the notions and results …
A topological reduction for predicting of a lung cancer disease based on generalized rough sets
MK El-Bably, EA Abo-Tabl - Journal of Intelligent & Fuzzy …, 2021 - content.iospress.com
The present work proposes new styles of rough sets by using different neighborhoods which
are made from a general binary relation. The proposed approximations represent a …
are made from a general binary relation. The proposed approximations represent a …
Different kinds of generalized rough sets based on neighborhoods with a medical application
MK El-Bably, TM Al-Shami - International Journal of Biomathematics, 2021 - World Scientific
Approximation space can be said to play a critical role in the accuracy of the set's
approximations. The idea of “approximation space” was introduced by Pawlak in 1982 as a …
approximations. The idea of “approximation space” was introduced by Pawlak in 1982 as a …
[HTML][HTML] Novel approaches of generalized rough approximation spaces inspired by maximal neighbourhoods and ideals
The theory of rough set is a robust approach to face uncertainty by classifying the data under
study into three main regions. The main principles of this theory are approximation operators …
study into three main regions. The main principles of this theory are approximation operators …
Some topological approaches for generalized rough sets and their decision-making applications
The rough set principle was proposed as a methodology to cope with vagueness or
uncertainty of data in the information systems. Day by day, this theory has proven its …
uncertainty of data in the information systems. Day by day, this theory has proven its …
Approximation spaces inspired by subset rough neighborhoods with applications
TM Al-shami, A Mhemdi - Demonstratio Mathematica, 2023 - degruyter.com
In this manuscript, we first generate topological structures by subset neighborhoods and
ideals and apply to establish some generalized rough-set models. Then, we present other …
ideals and apply to establish some generalized rough-set models. Then, we present other …
New topological approaches to generalized soft rough approximations with medical applications
There are many approaches to deal with vagueness and ambiguity including soft sets and
rough sets. Feng et al. initiated the concept of possible hybridization of soft sets and rough …
rough sets. Feng et al. initiated the concept of possible hybridization of soft sets and rough …
Improvement of approximation spaces using maximal left neighborhoods and ideals
TM Al-Shami, M Hosny - IEEE Access, 2022 - ieeexplore.ieee.org
Rough set theory was introduced by Pawlak, in 1982, as a methodology to discover
structural relationships within imprecise and uncertain data. This theory has been …
structural relationships within imprecise and uncertain data. This theory has been …
On (O, G)-fuzzy rough sets based on overlap and grouping functions over complete lattices
In rough set theory, upper and lower approximation operators are two crucial concepts. The
study of these two approximation operators in the framework of lattice theory is an important …
study of these two approximation operators in the framework of lattice theory is an important …