Fuzzy Covering Rough Set and Its Applications

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 31 August 2024 | Viewed by 1208

Special Issue Editors


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Guest Editor
School of Mathematical Sciences, Anhui University, Hefei 230601, China
Interests: fuzzy covering rough sets; three-way decision; multi-criteria decision making (MCDM); large-group decision making

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Guest Editor
Associate Professor & Doctoral Supervisor, College of Science, Northwest A&F University, Yangling 712100, China
Interests: fuzzy logics; aggregation functions; rough sets; three-way decisions and multi-attribute decision-making (MADM); data analysis and modeling of agricultural finance

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Guest Editor
School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an 710021, China
Interests: rough set; fuzzy rough set; data mining; granular computing; multi-criteria decision making

Special Issue Information

Dear Colleagues,

The integration of fuzzy logic with rough set theory has paved the way for the emergence of the fuzzy covering rough set. The fuzzy covering rough set brings together the main advantages of covering rough sets and fuzzy set theory. Among them, constructing a neighborhood operator that satisfies a general binary relation is a topic to be explored. Neighborhood operators can satisfy self–inverse relations, self–inverse–symmetric relations, etc. Various types of neighborhood operators can be used to construct different fuzzy covering rough set models. These fuzzy covering rough sets should have to satisfy the inclusion relationship between lower and upper approximations. Additionally, these fuzzy covering rough set models can be used for a range of applications, such as attribute reduction, multi-attribute decision making, prediction, multi-granularity decision making, three-way decisions, etc. These will all be important directions for developing fuzzy covering rough set applications.

The aim of this Special Issue is to encourage the publication of original research papers related to the theoretical foundations, computational methods, and diverse applications of the fuzzy covering rough set.

Dr. Kai Zhang
Dr. Bin Yang
Dr. Jingqian Wang
Guest Editors

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Keywords

  • fuzzy covering rough set
  • neighborhood operator
  • multi-criteria decision making
  • attribute reduction

Published Papers (1 paper)

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Research

30 pages, 394 KiB  
Article
Covering-Based Intuitionistic Hesitant Fuzzy Rough Set Models and Their Application to Decision-Making Problems
by Muhammad Kamraz Khan, Kamran, Muhammad Sajjad Ali Khan, Ahmad Aloqaily and Nabil Mlaiki
Symmetry 2024, 16(6), 693; https://doi.org/10.3390/sym16060693 - 4 Jun 2024
Viewed by 785
Abstract
In this paper, we present four categories of covering-based intuitionistic hesitant fuzzy rough set (CIHFRS) models using intuitionistic hesitant fuzzy β-neighborhoods (IHF β-neighborhoods) and intuitionistic hesitant fuzzy complementary β-neighborhoods (IHFC β-neighborhoods. Through theoretical analysis of covering-based IHFRS models, we [...] Read more.
In this paper, we present four categories of covering-based intuitionistic hesitant fuzzy rough set (CIHFRS) models using intuitionistic hesitant fuzzy β-neighborhoods (IHF β-neighborhoods) and intuitionistic hesitant fuzzy complementary β-neighborhoods (IHFC β-neighborhoods. Through theoretical analysis of covering-based IHFRS models, we propose the intuitionistic hesitant fuzzy TOPSIS (IHF-TOPSIS) technique for order of preference by similarity to an ideal solution, addressing multicriteria decision-making (MCDM) challenges concerning the assessment of IHF data. A compelling example aptly showcases the suggested approach. Furthermore, we address MCDM problems regarding the assessment of IHF information based on CIHFRS models. Through comparison and analysis, it is evident that addressing MCDM problems by assessing IHF data using CIHFRS models proves more effective than utilizing intuitionistic fuzzy data with CIFRS models or hesitant fuzzy information with CHFRS models. IHFS emerges as a unique and superior tool for addressing real-world challenges. Additionally, covering-based rough sets (CRSs) have been successfully applied to decision problems due to their robust capability in handling unclear data. In this study, by combining CRSs with IHFS, four classes of CIFRS versions are established using IHF β-neighborhoods and IHFC β-neighborhoods. A corresponding approximation axiomatic system is developed for each. The roughness and precision degrees of CBIHFRS models are specifically talked about. The relationship among these four types of IHFRS versions and existing related versions is presented based on theoretical investigations. A method for MCDM problems through IHF information, namely, IHF-TOPSIS, is introduced to further demonstrate its effectiveness and applicability. By conducting a comparative study, the effectiveness of the suggested approach is evaluated. Full article
(This article belongs to the Special Issue Fuzzy Covering Rough Set and Its Applications)
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