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Mathematics
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Soft Computing and Fuzzy Mathematics: New Advances and Applications
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Soft Computing and Fuzzy Mathematics: New Advances and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D2: Operations Research and Fuzzy Decision Making".

Deadline for manuscript submissions: 30 November 2025 | Viewed by 2742

Special Issue Editor

Prof. Dr. Nebojša Ralević

E-Mail Website
Guest Editor
Faculty of Technical Science, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia
Interests: measure theory and probability; nonlinear equations; fuzzy sets and measure; theoretical computer sciences

Special Issue Information

Dear Colleagues,

The aim of this Special Issue is to collect various theoretical studies that are related to fuzzy mathematics and include new theoretical results, the applications of which are reflected primarily in image processing. Results of this type in standard mathematics that can be fuzzified are also welcome. Thus, for example, in classifications, instead of the classical, fuzzy metrics are used, the analysis and recognition of blurred parts of the image are performed, and their geometric properties are examined, etc.

We invite you to contribute new results in the following domains: functions with values of [0,1]; fuzzy metric topological spaces; theory of fixed points; uncertainty in geometries (Euclidean, digital, computational, etc.); and system dynamics. New results are welcome, especially in (fuzzy) shape recognition and analysis. We are especially interested in their application in image analysis.

The relevant research topics include, but are not limited to, the following:

- Fuzzy metric and topological spaces in practical problems.
- Fixed point theory.
- Image analysis and digital and computational geometry and topology.
- Fuzzy and crisp shape recognition and analysis.
- Advanced methods of mathematical modeling and optimization in image processing and other applications.

Prof. Dr. Nebojša Ralević
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fuzzy metric and topological spaces
  • fixed point theory
  • image analysis and digital and computational geometry and topology
  • fuzzy and crisp shape recognition and analysis
  • uncertainty in geometries

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Published Papers (4 papers)

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Research

39 pages, 394 KiB  
Article
Using the Support Functions to Embed the Families of Fuzzy Sets into Banach Spaces
by Hsien-Chung Wu
Mathematics 2025, 13(3), 477; https://doi.org/10.3390/math13030477 - 31 Jan 2025
Viewed by 269
Abstract
With the help of support functions of fuzzy sets, we are able to embed some interesting families of fuzzy sets into Banach spaces. It is better to make the embedded Banach spaces as small as possible, which can be achieved by considering the [...] Read more.
With the help of support functions of fuzzy sets, we are able to embed some interesting families of fuzzy sets into Banach spaces. It is better to make the embedded Banach spaces as small as possible, which can be achieved by considering the weak* topology. In this case, the weak* continuity of support functions should be studied. The concept of a maximal embedding behavior is also presented in this paper, which shows the maximal subset satisfying the completeness. Full article
(This article belongs to the Special Issue Soft Computing and Fuzzy Mathematics: New Advances and Applications)
28 pages, 3246 KiB  
Article
Identification of Industrial Occupational Safety Risks and Selection of Optimum Intervention Strategies: Fuzzy MCDM Approach
by Gülay Demir, Mouhamed Bayane Bouraima, Ibrahim Badi, Željko Stević and Dillip Kumar Das
Mathematics 2025, 13(2), 301; https://doi.org/10.3390/math13020301 - 17 Jan 2025
Viewed by 607
Abstract
Over 1.1 million deaths occur annually from workplace injuries and diseases, with higher risks in developing countries. Occupational safety studies commonly use quantitative or qualitative methods, but these often fail to address uncertainty. This research targets the Libyan Steel Company (LISCO), aiming to [...] Read more.
Over 1.1 million deaths occur annually from workplace injuries and diseases, with higher risks in developing countries. Occupational safety studies commonly use quantitative or qualitative methods, but these often fail to address uncertainty. This research targets the Libyan Steel Company (LISCO), aiming to analyze safety risks and develop a structured approach to identify optimal risk mitigation strategies. To this end, the Fuzzy Weights by ENvelope and SLOpe (F-WENSLO) method was chosen to determine the weights of three main safety risks and a total of 18 sub-risks belonging to them, and the fuzzy Bonferroni mean aggregation operator is applied to synthesize expert opinions. The Fuzzy Alternative Ranking Technique based on Adaptive Standardized Intervals (F-ARTASI) method was used to identify and rank the most appropriate safety interventions. While the primary risks identified under the main criteria and sub-criteria are occupational diseases and noise-induced diseases, with weights of 0.4737 and 0.1313, respectively, the intervention strategy deemed most effective for enhancing occupational safety is behavioral safety programs, which hold a weight of 11.0341. The sensitivity test of the analysis results reveals that although the criteria weights and the parameters used in the analysis vary under various scenarios, the ranking of the alternatives remains consistent. Since the general ranking of the alternatives is the same in other methods, decision makers will reach similar results no matter which method they use. This shows that a flexible and reliable decision-making approach is adopted in the process of optimizing occupational safety risks. This research emphasizes the critical importance of prioritizing occupational diseases and natural hazards in the formulation of occupational safety strategies and thus aims to contribute to the protection of workers in industrial plants such as LISCO. Full article
(This article belongs to the Special Issue Soft Computing and Fuzzy Mathematics: New Advances and Applications)
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19 pages, 5434 KiB  
Article
Note on Intuitionistic Fuzzy Metric-like Spaces with Application in Image Processing
by Tatjana Došenović, Dušan Rakić, Nebojša Ralević and Biljana Carić
Mathematics 2024, 12(15), 2333; https://doi.org/10.3390/math12152333 - 25 Jul 2024
Viewed by 710
Abstract
Recently, the fixed-point theorem for fuzzy contractive mappings has been investigated within the framework of intuitionistic fuzzy metric-like spaces. This interesting topic was explored through the utilization of G-Cauchy sequences as defined by Grabiec. The aim of this study is to enhance [...] Read more.
Recently, the fixed-point theorem for fuzzy contractive mappings has been investigated within the framework of intuitionistic fuzzy metric-like spaces. This interesting topic was explored through the utilization of G-Cauchy sequences as defined by Grabiec. The aim of this study is to enhance the aforementioned results in a few aspects. Initially, the proof of the fixed-point theorem is simplified and condensed, allowing for potential generalization to papers focusing on similar fixed-point analyses. Furthermore, instead of G-Cauchy sequences, the classical Cauchy sequences proposed by George and Veeramani are examined, incorporating an additional condition on the fuzzy metric. Within this context, a solution to an old unresolved question posed by Gregory and Sapena is provided. The findings are reinforced by relevant examples. Finally, the introduced fuzzy metrics are applied to the field of image processing. Full article
(This article belongs to the Special Issue Soft Computing and Fuzzy Mathematics: New Advances and Applications)
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15 pages, 280 KiB  
Article
New Extension of Darbo’s Fixed Point Theorem and Its Application to a System of Weighted-Fractional-Type Integral Equations
by Marija Paunović, Ana Savić, Hemanta Kalita, Sudip Deb and Vahid Parvaneh
Mathematics 2024, 12(13), 2133; https://doi.org/10.3390/math12132133 - 7 Jul 2024
Viewed by 747
Abstract
In this article, we introduce several new extensions of Darbo’s fixed point theorem with newly constructed contraction functions associated with the measure of noncompactness. We apply our new extensions to prove the existence of solutions for a system of weighted fractional integral equations [...] Read more.
In this article, we introduce several new extensions of Darbo’s fixed point theorem with newly constructed contraction functions associated with the measure of noncompactness. We apply our new extensions to prove the existence of solutions for a system of weighted fractional integral equations in Banach space BC(R+). At the end, we establish an example to show the applicability of our discovery. Full article
(This article belongs to the Special Issue Soft Computing and Fuzzy Mathematics: New Advances and Applications)
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