Multigranulation fuzzy probabilistic rough set model on two universes

D Yang, M Cai, Q Li, F Xu - International Journal of Approximate Reasoning, 2022 - Elsevier
Fuzzy probabilistic rough set is an important mathematical model in rough set theory and
has been widely used in applications. Although many studies have been taken on this topic …

Positioning accuracy reliability of industrial robots through probability and evidence theories

D Zhang, Z Peng, G Ning… - Journal of …, 2021 - asmedigitalcollection.asme.org
The positioning accuracy of industrial robots has an important influence on the stability and
accuracy of robotic motion, which is one of the important indexes to measure the …

Topological approaches to rough approximations based on closure operators

MK El-Bably, KK Fleifel, OA Embaby - Granular Computing, 2022 - Springer
The main goal of this paper is to integrate the relationships among rough set theory and
topology. We introduce different closure operators by using binary relations. Using these …

Hesitant bipolar-valued fuzzy sets and bipolar-valued hesitant fuzzy sets and their applications in multi-attribute group decision making

P Mandal, AS Ranadive - Granular Computing, 2019 - Springer
In this paper, we propose the concepts of hesitant bipolar-valued fuzzy sets (HBVFSs) and
bipolar-valued hesitant fuzzy sets (BVHFSs). The HBVFSs encompass bipolar-valued fuzzy …

A bipolar-valued fuzzy set is an intersected interval-valued fuzzy set

BQ Hu, KC Yiu - Information Sciences, 2024 - Elsevier
This paper shows that a bipolar-valued fuzzy set and a special interval-valued fuzzy set,
whose cut-off point of left and right ends of the interval-valued membership is λ (0< λ< 1), are …

Variable precision multi-granulation covering rough intuitionistic fuzzy sets

Z Xue, M Jing, Y Li, Y Zheng - Granular Computing, 2023 - Springer
Since the classical Pawlak rough sets model only divides the domain by a single
equivalence relation when dealing with uncertain information and ignores the influence of …

A survey on granular computing and its uncertainty measure from the perspective of rough set theory

Y Cheng, F Zhao, Q Zhang, G Wang - Granular Computing, 2021 - Springer
Granular computing is an umbrella term to cover a series of theories, methodologies,
techniques, and tools that make use of information granules in complex problem solving …

[PDF][PDF] Multi-granulation fuzzy probabilistic rough sets and their corresponding three-way decisions over two universes

P Mandal, AS Ranadive - Iranian Journal of Fuzzy Systems, 2019 - ijfs.usb.ac.ir
This article introduces a general framework of multi-granulation fuzzy probabilistic roughsets
(MG-FPRSs) models in multi-granulation fuzzy probabilistic approximation space over …

Multi-granulation Pythagorean fuzzy decision-theoretic rough sets based on inclusion measure and their application in incomplete multi-source information systems

P Mandal, AS Ranadive - Complex & Intelligent Systems, 2019 - Springer
Multi-granulation rough sets (MGRSs) and decision-theoretic rough sets (DTRSs) are two
important and popular generalizations of classical rough sets. The combination of two …

Probabilistic decision making based on rough sets in interval-valued fuzzy information systems

D Shi, X Zhang - Granular Computing, 2019 - Springer
At present, the representative and hot research is three-way decision based on rough set
theory. In addition, this topic has been applied in wide variety of specific. In the article, we …