Topological characterizations of covering for special covering-based upper approximation operators

X Ge, X Bai, Z Yun - Information Sciences, 2012 - Elsevier
The relationships among properties of covering approximation operators and their
corresponding coverings have attracted intensive research in recent years. In particular …

[PDF][PDF] Rough sets theory via new topological notions based on ideals and applications

M Hosny - AIMS Mathematics, 2021 - aimspress.com
There is a close analogy and similarity between topology and rough set theory. As, the
leading idea of this theory is depended on two approximations, namely lower and upper …

Near open generalizations of rough sets and their applications

AS Salama, AA El Atik, AM Hussein… - Beni-Suef University …, 2024 - Springer
Background The concept of near open sets is a potent tool that empowers researchers to
achieve a more encompassing approximation of rough sets, thereby enhancing the …

Characterizations of coverings for upper approximation operators being closure operators

X Bian, P Wang, Z Yu, X Bai, B Chen - Information Sciences, 2015 - Elsevier
In this paper, we define two conditions of symmetry for the covering C in a covering-based
approximation space (U, C). By using these conditions and the triangle chain condition, we …

Generalized neighborhood systems approach for information retrieval systems

AS Salama, RA Gdairi - International Conference on Mathematics and …, 2022 - Springer
We proposed in this paper a new decision information retrieval model using rough sets that
are generated by general binary relations. This model depends on generalized rough sets to …

[PDF][PDF] Topological generalization of minimal structure with medical application

HI Mustafaa, FM Sleima, YT Abdoha - Filomat, 2024 - pmf.ni.ac.rs
In this paper we used the MSA− space, η− open sets and αη-open sets to introduce a new
approximation of uncertain sets as a mathematical tool to modify the approximations …

[PDF][PDF] Rough topology via multifunction

MY Bakeir, AAE Allam… - Mathematical Sciences …, 2018 - naturalspublishing.com
The notion of rough set was originally proposed by Pawlak (1982)[6]. Carmel Richard et
al.[3] introduce a new topology called rough topology in terms of the lower and upper …

New Class of Continuity in Nano Product Topology.

M LELLIS THIVAGAR… - Journal of Ultra …, 2017 - search.ebscohost.com
The purpose of the study is to introduce a new class of continuous function among the nano
product topology and study the behaviour of these functions. We characterise the properties …