Current Trends in the Mathematics of Fuzzy Sets and Logic

A Special Issue of Axioms (ISSN 2075-1680) belonging to the section "Mathematical Analysis".

Deadline for manuscript submissions: 28 February 2027 | Viewed by 1123

Editors


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Guest Editor
Department of Industrial Engineering and Management, National Chin-Yi University, Taichuang, Taiwan
Interests: fuzzy theory; multi-objective programming; decision analysis; production management
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan
Interests: statistical process control; fuzzy decision making; quality management; process capability analysis; six sigma; service management
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan
Interests: statistical fuzzy methodology; statistical process control; process quality analysis; six sigma methodology and applications
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We are delighted to announce a new Special Issue entitled “Current Trends in the Mathematics of Fuzzy Sets and Logic”, which focuses on both theoretical advancements and practical applications of fuzzy sets and logic. This Special Issue aims to provide a comprehensive platform for presenting innovative research that connects rigorous mathematical foundations with real-world implementations.

On the theoretical side, we welcome contributions related to fuzzy set theory, fuzzy algebra, fuzzy metrics, and related topological structures, as well as new results in fuzzy inference, clustering, aggregation operators, and approximate reasoning. We also encourage the submission of articles that integrate fuzzy logic with other computational intelligence techniques, such as neural networks and evolutionary algorithms.

On the applied side, we seek papers that address the practical implementation of fuzzy methods in areas such as multi-criteria decision making, multi-objective programming, statistical methodology, testing and evaluation models, and fuzzy-based process capability indices for quality control. Case studies, comparative analyses, and hybrid approaches are particularly welcome.

We welcome the submission of high-quality original research articles, reviews, and case studies. All submissions will be peer-reviewed to ensure the highest academic standards.

Prof. Dr. He-Yau Kang
Prof. Dr. Kuen-Suan Chen
Dr. Chun-Min Yu
Guest Editors

Manuscript Submission Information

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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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly 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 2400 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 theory
  • multi-criteria decision making
  • multi-objective programming
  • statistical methodology
  • testing and evaluation model
  • process capability index

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Published Papers (1 paper)

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Research

23 pages, 1525 KB  
Article
Acceptance Sampling Plans for Exponential- and Weibull-Distributed Lifetimes Under the Group Sampling Framework
by Ching-Ho Yen, Kuen-Suan Chen, Mou-Yuan Liao, Chun-Min Yu and Ting Zhou
Axioms 2026, 15(8), 588; https://doi.org/10.3390/axioms15080588 - 4 Aug 2026
Viewed by 575
Abstract
Product lifetime is a critical quality characteristic of electronic products. Among various lifetime models, the Weibull distribution is one of the most flexible and widely used distributions in reliability analysis because it can describe different failure rate patterns through its shape parameter. In [...] Read more.
Product lifetime is a critical quality characteristic of electronic products. Among various lifetime models, the Weibull distribution is one of the most flexible and widely used distributions in reliability analysis because it can describe different failure rate patterns through its shape parameter. In this study, the Weibull distribution is treated as the primary lifetime model, while the exponential distribution is included as a simpler benchmark model and as a special case of the Weibull distribution with shape parameter m = 1. Based on the lifetime performance index, this research applies the group sampling concept to design two lifetime acceptance sampling plans under these lifetime distributions. The optimal sampling plan parameters of the lifetime acceptance sampling plans are determined by minimizing the number of groups while satisfying the two-point principle of the operating characteristic curve. For practical purposes, the parameters of the proposed plan are tabulated for some combinations of quality levels with commonly used producer risk and consumer risk. Moreover, a comparative analysis of the two lifetime testing methods is presented, and the results show that Testing Method II proposed in this study can implement sampling inspection more efficiently. Finally, an example is used to illustrate the proposed methodology. Full article
(This article belongs to the Special Issue Current Trends in the Mathematics of Fuzzy Sets and Logic)
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