Refined Fuzzy Soft Sets: Properties, Set-Theoretic Operations and Axiomatic Results

Muhammad Saeed; Irfan  Saif Ud Din; Imtiaz Tariq; Harish Garg

doi:10.47852/bonviewJCCE3202847

Authors

Muhammad Saeed Department of Mathematics, University of Management and Technology, Pakistan https://orcid.org/0000-0002-7284-6908
Irfan Saif Ud Din Department of Mathematics, University of Management and Technology, Pakistan
Imtiaz Tariq Department of Mathematics, University of Management and Technology, Pakistan
Harish Garg School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), India

DOI:

https://doi.org/10.47852/bonviewJCCE3202847

Keywords:

fuzzy set, soft set, fuzzy soft set, refined fuzzy soft set

Abstract

This article discusses the results of an investigation into refined fuzzy soft sets, a novel variant of traditional fuzzy sets. Refined fuzzy soft sets provide a versatile method of data analysis, inspired by the need to deal with uncertainty and ambiguity in real-world data. This research expands on prior work in fuzzy set theory by investigating the nature and characteristics of refined fuzzy soft sets. They are useful in decision-making, pattern recognition, image processing, and control theory because of their capacity to deal with uncertainty, ambiguity, and the inclusion of expert information. This study analyzes these fuzzy set models and compares them to others in the field to reveal their advantages and disadvantages. The practical uses of enhanced fuzzy soft sets are also examined, along with possible future research strategies on this exciting new topic.

Received: 14 March 2023 | Revised: 25 May 2023 | Accepted: 14 June 2023

Conflicts of Interest

Harish Garg is the editor-in-chief for Journal of Computational and Cognitive Engineering, and was not involved in the editorial review or the decision to publish this article. The authors declare that they have no conflicts of interest to this work.

Data Availability Statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.