Measure Theory and Related Topics
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: 31 July 2026 | Viewed by 43
Special Issue Editors
Interests: measure theory; uncertainty modeling; fuzzy sets and fuzzy logic; multicriteria decision support; copulas; triangular norms; aggregation operators and related operators; intelligent computing
Special Issues, Collections and Topics in MDPI journals
Interests: aggregation operators; fuzzy measures; integrals
Interests: set-valued measures integrals; non-additive measures integrals; set-valued functions
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Measure theory has long been a cornerstone of modern mathematics, providing a rigorous framework for understanding integration, probability, and geometric structures. Its foundational concepts—such as σ-algebras, measurable functions, and Lebesgue integration—have become indispensable tools in diverse fields, ranging from stochastic analysis and dynamical systems to machine learning and financial mathematics. The interplay between measure theory and related areas—such as geometric measure theory, ergodic theory, non-additive measure and integral theory, game theory, and functional analysis—continues to yield profound insights and innovative applications. In this Special Issue, we seek to showcase cutting-edge research that advances the theory, methods, and interdisciplinary applications of measure theory. We aim to bridge theoretical advancements with practical innovations, fostering dialog between pure mathematicians and applied researchers. By highlighting the synergy between measure theory and its related disciplines, we seek to address open challenges, such as the interplay between Borel and Lebesgue measurability (open problems in Banach spaces), and to explore emerging domains like measure-theoretic machine learning and geometric analysis. We invite contributions that push the boundaries of measure theory, whether with novel proofs, computational breakthroughs, or transformative applications, across various fields of science and engineering.
Prof. Dr. Radko Mesiar
Prof. Dr. Endre Pap
Dr. Anna Rita Sambucini
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 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. 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
- aggregation functions
- measure theory
- capacities
- game theory
- geometric measure theory
- fuzzy integrals
- multicriteria decision making
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