Topological approach to generalized soft rough sets via near concepts

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 models by using the concept of near open sets, where the accuracy of approximations is enhanced significantly. Firstly, the concepts of near soft rough approximations, denoted by J(SR)-approximations for each J is an element of {P, S, gamma, alpha, beta) are proposed as a generalization some previously introduced notions. Then, their properties and relationships are disclosed. Comparisons among the proposed methods and the previous one are obtained. An algorithm has been given for decision-making problems. The proposed algorithm is tested on hypothetical data for the purpose of comparison with already existing methods.

Automated summary

Approximation space is crucial for the accuracy of approximations on a subset of the universal set. This paper aims to develop new soft rough sets models using near open sets, enhancing the accuracy of approximations significantly. The concepts of near soft rough approximations and their properties are proposed, and comparisons with previous methods are made. An algorithm is provided for decision-making problems, and tested on hypothetical data for comparison with existing methods.