Advances in Fuzzy Mathematics
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Logic".
Deadline for manuscript submissions: 31 December 2026 | Viewed by 251
Special Issue Editors
Interests: fuzzy logic; aggregation functions; order theory; classification and clustering of data
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Since the emergence of modern mathematics, set theory and first-order logic have been consolidated as fundamental pillars of its formal structure. However, classical logic, based on the law of the excluded middle—according to which a proposition can only be true or false—has proven to be insufficient to address the vague or imprecise concepts that characterize many real-world phenomena.
To overcome this limitation, in 1965, Lotfi A. Zadeh introduced the notion of fuzzy sets, in which elements may belong to a set with different degrees of membership, represented by values between 0 and 1. This revolutionary idea gave rise to Fuzzy Mathematics, an extension of classical mathematics that incorporates the notion of uncertainty into its fundamental structures, such as numbers, differential equations, topology, algebra, and geometry.
This Special Issue aims to provide a platform for the dissemination of recent advances—both theoretical and applied—in the field of Fuzzy Mathematics and its integration with Artificial Intelligence. Researchers are invited to submit original research articles and review papers that address topics ranging from the foundations of fuzzy set theory to its modern developments and interdisciplinary applications.
Topics of interest include, but are not limited to, the following:
- Fuzzy set theory and fuzzy logic;
- Fuzzy Mathematics;
- Fuzzy graphs;
- Fuzzy computability and fuzzy formal languages;
- Fuzzy quantum computing;
- Fuzzy control and decision-making systems;
- Optimization, modeling, and uncertainty analysis;
- Applications of Fuzzy Mathematics in engineering and Artificial Intelligence
This Special Issue seeks to reflect both the theoretical elegance and practical versatility of Fuzzy Mathematics, continuing Zadeh’s vision of modeling uncertainty and vagueness in an increasingly complex computational world.
We look forward to receiving your valuable contributions.
Prof. Dr. Benjamin Bedregal
Dr. Nicolás Zumelzu
Guest Editors
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 250 words) can be sent to the Editorial Office for assessment.
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. 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 mathematics
- fuzzy control systems
- optimization and modeling
- uncertainty analysis
- fuzzy decision-making
- applications in engineering and artificial intelligence
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