An approach to MCGDM based on multi-granulation Pythagorean fuzzy rough set over two universes and its application to medical decision problem

B Sun, S Tong, W Ma, T Wang, C Jiang - Artificial Intelligence Review, 2022 - Springer
Exploring efficiency approaches to solve the problems of decision making under uncertainty
is a mainstream direction. This article explores the rough approximation of the uncertainty …

Attribute reductions of quantitative dominance-based neighborhood rough sets with A-stochastic transitivity of fuzzy preference relations

S Yang, H Zhang, G Shi, Y Zhang - Applied Soft Computing, 2023 - Elsevier
Attribute reductions based on approximate operations have never been proposed in
quantitative dominance-based neighborhood rough sets. In this paper, we mainly discuss …

Integrating rough sets and multidimensional fuzzy sets for approximation techniques: A novel approach

J Josen, B Mathew, SJ John, J Vallikavungal - IEEE Access, 2024 - ieeexplore.ieee.org
This research introduces innovative rough approximation techniques for multidimensional
fuzzy sets by integrating rough sets and multidimensional fuzzy sets. Departing from …

Multigranulation modified rough bipolar soft sets and their applications in decision-making

R Gul, M Shabir, M Aslam, S Naz - IEEE Access, 2022 - ieeexplore.ieee.org
The classical theory of rough sets (RSs) established by Pawlak, mainly focused on the
approximation of sets characterized by a single equivalence relation (ER) over the universe …

A study on soft multi-granulation rough sets and their applications

S Ayub, W Mahmood, M Shabir, ANA Koam… - IEEE Access, 2022 - ieeexplore.ieee.org
Rough set (RS) and soft set (SS) theories are two successful mathematical approaches to
dealing with uncertainty in data analysis. The classical soft rough set (SRS) theory proposed …

A novel approach toward roughness of bipolar soft sets and their applications in MCGDM

R Gul, M Shabir, M Naz, M Aslam - IEEE Access, 2021 - ieeexplore.ieee.org
The uncertainty in the data is an obstacle in decision-making (DM) problems. In order to
solve problems with a variety of uncertainties a number of useful mathematical approaches …

N-soft rough sets and its applications

D Zhang, PY Li, S An - Journal of Intelligent & Fuzzy Systems, 2021 - content.iospress.com
In this paper, we propose a new hybrid model called N-soft rough sets, which can be seen
as a combination of rough sets and N-soft sets. Moreover, approximation operators and …

Multigranulation roughness based on soft relations

M Shabir, J Din, IA Ganie - Journal of Intelligent & Fuzzy …, 2021 - content.iospress.com
The original rough set model, developed by Pawlak depends on a single equivalence
relation. Qian et al, extended this model and defined multigranulation rough sets by using …

Pessimistic multigranulation roughness of a fuzzy set based on soft binary relations over dual universes and its application

J Din, M Shabir, Y Wang - Mathematics, 2022 - mdpi.com
The rough set model for dual universes and multi granulation over dual universes is an
interesting generalization of the Pawlak rough set model. In this paper, we present a …

A comprehensive study of upward fuzzy preference relation based fuzzy rough set models: Properties and applications in treatment of coronavirus disease

N Rehman, A Ali, P Liu, K Hila - International Journal of …, 2021 - Wiley Online Library
In this paper, we first introduce a new type of rough sets called α‐upward fuzzified
preference rodownward fuzzy preferenceugh sets using upward fuzy preference relation …