This paper suggests new approximations that are inspired by topological structures. The
primary goal of this work is to define four neighborhoods resulting from a binary relation …

Decision-making in diagnosing heart failure problems using basic rough sets Page 1 AIMS
Mathematics, 9(8): 21816–21847. DOI: 10.3934/math.20241061 Received: 10 May 2024 …

One of the most difficulties that doctors face when diagnosing a disease is making an
accurate decision to correctly determine the nature of the injury. This is attributable to the …

In this study, different kinds of fuzzy point applications in fuzzy topological spaces were
examined. In addition, the characteristics of fuzzy β-closed sets via the contribution of fuzzy …

The theory of rough set represents a non-statistical methodology for analyzing ambiguity
and imprecise information. It can be characterized by two crisp sets, named the upper and …

The idea of nano-topology was originally proposed a decade ago by Thivagar. Since then, a
lot of research has been done on the generalizations of the basic notions of nano-topology …

This article introduces novel definitions for generalized rough-set models, that using the
concepts of initial neighborhoods and ideals. A comprehensive examination of the …

In the field of medical applications, graph theory offers diverse topological models for
representing the human heart. The key challenge is identifying the optimal structure as an …

This paper explores the application of rough set theory in analyzing ambiguous data within
complete information systems. The study extends topological structures using equivalence …

Rough set theory is a methodology that defines the definite or probable membership of an
element for exploring data with uncertainty and incompleteness. It classifies data sets using …