Fuzzy soft covering-based multi-granulation fuzzy rough sets and their applications

M Atef, MI Ali, TM Al-shami - Computational and Applied Mathematics, 2021 - Springer
In this paper, with the aid of fuzzy soft β β-neighborhoods, we introduce fuzzy soft covering-
based multi-granulation fuzzy rough set models. We examine some of the relevant …

Multigranular rough set model based on robust intuitionistic fuzzy covering with application to feature selection

P Jain, T Som - International Journal of Approximate Reasoning, 2023 - Elsevier
Fuzzy and intuitionistic fuzzy β covering has attracted the interest of many researchers
recently. However, some of the factors namely 1. the lack of inclusion relationship between …

Measurement, modeling, reduction of decision-theoretic multigranulation fuzzy rough sets based on three-way decisions

X Zhang, J Jiang - Information Sciences, 2022 - Elsevier
Variable precision multigranulation fuzzy rough sets (VP-MFRSs) use two direct integrations:
the multigranulation maximum and minimum. Their optimistic and pessimistic models …

Feature selection using relative dependency complement mutual information in fitting fuzzy rough set model

J Xu, X Meng, K Qu, Y Sun, Q Hou - Applied Intelligence, 2023 - Springer
As a reliable and valid tool for analyzing uncertain information, fuzzy rough set theory has
attracted widespread concern in feature selection. However, the performance of fuzzy rough …

Fuzzy covering-based rough set on two different universes and its application

B Yang - Artificial Intelligence Review, 2022 - Springer
In this paper, we propose a new type of fuzzy covering-based rough set model over two
different universes by using Zadeh's extension principle. We mainly address the following …

New covering techniques and applications utilizing multigranulation fuzzy rough sets

M Atef, S Liu, S Moslem, D Pamucar - Artificial Intelligence Review, 2024 - Springer
In order to conduct an in-depth study of Zhan's methodology pertaining to the covering of
multigranulation fuzzy rough sets (C MG FRSs), we build two families: the family of fuzzy β …

Variable scale fuzzy β-covering group approximation space and variable scale multi-granulation FCRSs with applications

X Wen, F Sun, X Zhang, M Li - Applied Soft Computing, 2024 - Elsevier
In the field of rough set, fuzzy β-covering rough set (F β CRS) and multi-granulation rough
set are two important concepts, and their applications are extensive in feature selection, data …

New categories of coverings in terms of rough fuzzy sets

M Atef - Computational and Applied Mathematics, 2024 - Springer
In this article, we develop innovative models of multigranulation rough fuzzy sets, utilizing
fuzzy β-covering and incorporating a range of techniques such as fuzzy β-neighborhood …

Geodesic Fuzzy Rough Sets for Discriminant Feature Extraction

X Yang, H Chen, T Li, Y Yao - IEEE Transactions on Fuzzy …, 2023 - ieeexplore.ieee.org
Feature extraction is a fundamental and challenging task in machine learning, which aims at
extracting a subset of significant and discriminant features from raw data for various …

[PDF][PDF] Topological visualization and graph analysis of rough sets via neighborhoods: A medical application using human heart data

R Abu-Gdairi, AA El-Atik, MK El-Bably - AIMS Mathematics, 2023 - aimspress.com
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 …