Recent Advances in Fuzzy Set Theory

A special issue of Algorithms (ISSN 1999-4893). This special issue belongs to the section "Algorithms for Multidisciplinary Applications".

Deadline for manuscript submissions: closed (15 March 2022) | Viewed by 2669

Special Issue Editor


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Guest Editor
Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal 700064, India.
Interests: fuzzy sets and system; decision making theory; rrtificial inteligence; machine learning

Special Issue Information

Dear Colleagues,

For various reasons, including measurement difficulty, system behaviour and lack of data, the theory of uncertainty becomes relevant in modelling for real-life cases. Mathematical modelling has become very popular and well established for the analysis of real-world problems. It was previously observed that modelling with uncertainty is very different from crisp system modelling. It is better to use uncertainty modelling for real-world problems in order to obtain better understanding, prediction, and interpretation.

Uncertainty theory is not new. Fuzzy set theory is a very popular tool to describe the uncertainties in theoretical as well as practical problems. However, different types of uncertain environments arise day by day, requiring more advances in the field as previous strategies may not apply new problems. Additionally, it is not necessary that we apply all types of uncertainty settings in the same problem. So, defining uncertainty parameters and their application with real-world problem is currently a challenging issue.

Dr. Sankar Prasad Mondal
Guest Editor

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Keywords

  • interval uncertainty modelling
  • fuzzy set theory modelling
  • intuitionistic fuzzy set theory modelling
  • neutrosophic set theory modelling
  • biological modelling with uncertainty
  • modelling management sciences problems with uncertainty
  • engineering problems with uncertainty.

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Published Papers (1 paper)

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Research

14 pages, 333 KiB  
Article
Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings
by Hayel N. Saleh, Mohammad Imdad, Salvatore Sessa and Ferdinando Di Martino
Algorithms 2022, 15(5), 141; https://doi.org/10.3390/a15050141 - 22 Apr 2022
Viewed by 1936
Abstract
In this article, the concept of fuzzy (σ,Z)-contractive mappings is introduced in the setting of fuzzy metric spaces. Thereafter, we utilize our newly introduced concept to prove some existence and uniqueness theorems in M-complete fuzzy metric spaces. [...] Read more.
In this article, the concept of fuzzy (σ,Z)-contractive mappings is introduced in the setting of fuzzy metric spaces. Thereafter, we utilize our newly introduced concept to prove some existence and uniqueness theorems in M-complete fuzzy metric spaces. Our obtained theorems extend and generalize the corresponding results in the existing literature. Moreover, some examples are adopted to exhibit the utility of the newly obtained results. Full article
(This article belongs to the Special Issue Recent Advances in Fuzzy Set Theory)
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