About this Research Topic
Fuzzy mathematics, a concept proposed by L.A. Zadeh in 1965, introduces the idea of fuzzy sets, emphasizing elements' degrees of membership in certain classes as potentially infinite. Over decades, this notion has profoundly influenced various disciplines including medicine, economics, and philosophy, while fortifying branches of mathematics such as algebra, topology, and analysis. The innovative potential of fuzzy sets continues to grow, evidenced by foundational works like C.L. Chang's on fuzzy topology, developing systematic appropriations and expansions on forty years of scholarly investigation.
This Research Topic aims to collect and highlight significant advances in the application of fuzzy theories and applied mathematics to practical problems. It seeks to promote theoretical advancements and substantial practical implementations in fields grappling with everyday challenges. Our goal is to bridge the theoretical constructs of fuzzy mathematics with real-world applications, ensuring that the extensive capabilities of mathematical research are utilized to solve pressing global issues.
Original research articles and reviews focusing on theoretical and applied aspects of fuzzy mathematics are sought.
Research areas include:
- Mathematical Analysis
- Topology
- Fuzzy logic
- Fuzzy systems
- Fuzzy set theory
- Fuzzy topology
- Intuitionistic fuzzy sets
- Neutrosophic sets
- Theoretical methods for optimization algorithms
- Statistical methods for optimization algorithms
- Optimization in neuro-fuzzy models
- Mathematical fuzzy logic in control systems
- Bio-inspired mathematical algorithms
We encourage submissions that not only further development within these areas but also propose novel applications and methodologies that can drive forward the integration of fuzzy mathematical approaches in solving complex problems.
This Research Topic aims to collect and highlight significant advances in the application of fuzzy theories and applied mathematics to practical problems. It seeks to promote theoretical advancements and substantial practical implementations in fields grappling with everyday challenges. Our goal is to bridge the theoretical constructs of fuzzy mathematics with real-world applications, ensuring that the extensive capabilities of mathematical research are utilized to solve pressing global issues.
Original research articles and reviews focusing on theoretical and applied aspects of fuzzy mathematics are sought.
Research areas include:
- Mathematical Analysis
- Topology
- Fuzzy logic
- Fuzzy systems
- Fuzzy set theory
- Fuzzy topology
- Intuitionistic fuzzy sets
- Neutrosophic sets
- Theoretical methods for optimization algorithms
- Statistical methods for optimization algorithms
- Optimization in neuro-fuzzy models
- Mathematical fuzzy logic in control systems
- Bio-inspired mathematical algorithms
We encourage submissions that not only further development within these areas but also propose novel applications and methodologies that can drive forward the integration of fuzzy mathematical approaches in solving complex problems.
Keywords: Fuzzy Logic, Mathematical Optimization, Theoretical Applications, Computational Models, Interdisciplinary Mathematics
Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.
