Soft rough set theory has been presented as a basic mathematical model for decision-
making for many real-life data. However, soft rough sets are based on a possible fusion of …

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 …

This paper puts forward some rough approximations which are motivated from topology.
Given a subset R⊆ U× U, we can use 8 types of E‐neighborhoods to construct …

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 …

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 …

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 …

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 …

The basic methodology of rough set theory depends on an equivalence relation induced
from the generated partition by the classification of objects. However, the requirements of the …

An approximation space plays a vital role in the accuracy of approximations of a subset of
the universal set. The main goal of this paper is to develop new kinds of soft rough sets …

Rough set philosophy is a significant methodology in the knowledge discovery of databases.
In the present paper, we suggest new sorts of rough set approximations using a multi …