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Mathematics
Special Issues
Improved Mathematical Methods in Decision Making Models
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Improved Mathematical Methods in Decision Making Models

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: closed (15 March 2025) | Viewed by 584

Special Issue Editor

Dr. Gino K. Yang

E-Mail Website
Guest Editor
Department of Multimedia Game Development and Application, Hungkuang, Taichung City 43302, Taiwan
Interests: multimedia game development; multimedia applications; analytic hierarchy processes; pattern recognition; inventory systems; fuzzy set theorem

Special Issue Information

Dear Colleagues,

This Special Issue provides a platform for researchers to contribute their results with respect to improved mathematical methods in dealing with decision-making problems. The main research trend is to develop new models and novel solution procedures, but many of them are not well examined through rigorously mathematical examination. We aim to fill this research gap to present several improvements for incomplete solution processes. It is difficult to revise those existing solution procedures; if an original problem is too difficult, no one can decide which one will be the optimal solution. Sometimes, a maximum problem only has supreme value but without having the maximum value, such that none of the derived value obtained by numerical approaches can be declared to be the optimal solution. To locate a suitable incomplete solution process and then provide amended improvement is similar to catching a specific kind of fish in the river. We invite practitioners to contribute their mathematical findings to prove the existence or the uniqueness of optimal solutions for those incomplete solution procedures under a sound mathematical standard.

Dr. Gino K. Yang
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

  • improved solution method
  • analytic method
  • inventory model
  • fuzzy set theorem
  • pattern recognition
  • analytic hierarchy process

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Published Papers (2 papers)

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Research

17 pages, 3569 KiB  
Article
Fairness in Healthcare Services for Italian Older People: A Convolution-Based Evaluation to Support Policy Decision Makers
by Davide Donato Russo, Frida Milella and Giuseppe Di Felice
Mathematics 2025, 13(9), 1448; https://doi.org/10.3390/math13091448 - 28 Apr 2025
Viewed by 40
Abstract
In Italy, the current demographic transition makes it a strategic goal to realign the distribution of health services based on the population aged over 65. The traditional challenge of achieving a fine-grained assessment of health resource statistics and evaluating the fairness of health [...] Read more.
In Italy, the current demographic transition makes it a strategic goal to realign the distribution of health services based on the population aged over 65. The traditional challenge of achieving a fine-grained assessment of health resource statistics and evaluating the fairness of health services across regions is a concern in current research on the fairness of health services. In this study, the authors propose a methodological approach to foster a novel analysis of fairness in the allocation of primary health care services in Italy with a specific focus on the population aged 65 or over, which facilitates the processing of extensive administrative and demographic data to ensure a clear and precise visualization for informed decision making. The proposed methodology integrates convolution matrices weighted by aged population density within a fine-grained geographic grid representation. This approach is combined with an image convolution technique for filtering, enabling an effective estimation of health resource impact and a clear visualization of their spatial distribution across geographical areas. The integration of several data sources to evaluate the equity in accessibility distribution through the Gini index is also exploited to quantify the disparity between healthcare service provision and the aged population at the regional district level. Our findings showed a substantial unfairness in service distribution, with a concentration of healthcare effect in prominent regions such as Campania, Lazio, and Lombardia, indicating that healthcare accessibility is predominantly disproportionate in Italy, particularly for the population aged over 65. Full article
(This article belongs to the Special Issue Improved Mathematical Methods in Decision Making Models)
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24 pages, 494 KiB  
Article
Robustness and Efficiency Considerations When Testing Process Reliability with a Limit of Detection
by Laura S. Bumbulis and Richard J. Cook
Mathematics 2025, 13(8), 1274; https://doi.org/10.3390/math13081274 - 12 Apr 2025
Viewed by 321
Abstract
Processes in biotechnology are considered reliable if they produce samples satisfying regulatory benchmarks. For example, laboratories may be required to show that levels of an undesirable analyte rarely (e.g., in less than 5% of samples) exceed a tolerance threshold. This can be challenging [...] Read more.
Processes in biotechnology are considered reliable if they produce samples satisfying regulatory benchmarks. For example, laboratories may be required to show that levels of an undesirable analyte rarely (e.g., in less than 5% of samples) exceed a tolerance threshold. This can be challenging when measurement systems feature a lower limit of detection, rendering some observations left-censored. We investigate the implications of detection limits on location-scale model-based inference in reliability studies, including their impact on large and finite sample properties of various estimators and the sensitivity of results to model misspecification. To address the need for robust methods, we introduce a flexible weakly parametric model in which the right tail of the response distribution is approximated using a piecewise-constant hazard model. Simulation studies are reported that investigate the performance of the established and proposed methods, and an illustrative application is given to a study of drinking can weights. We conclude with a discussion of areas warranting future work. Full article
(This article belongs to the Special Issue Improved Mathematical Methods in Decision Making Models)
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