Advances in Fuzzy Mathematics

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

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