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Validation
The central theme of my research interest is validation implemented by computers. When a computer returns a solution, how does one know (with mathematical certainty) whether or not the solution is valid?
Uncertainty
How is it possible to explicitly model error and uncertainty in mathematical analyses? There are methods of interval analysis, probability, possibility theory, and simultaneous (fuzzy) set theory. Of these methods, those that I find compelling are interval analysis and simultaneous set theory.
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A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics Studies in Fuzziness and Soft Computingpp.175-204, (2024)
A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics Studies in Fuzziness and Soft Computingpp.79-112, (2024)
A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics Studies in Fuzziness and Soft Computingpp.53-78, (2024)
Fuzzy Sets and Systems (2024): 108910
A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics Studies in Fuzziness and Soft Computingpp.135-173, (2024)
A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics Studies in Fuzziness and Soft Computingpp.113-134, (2024)
A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics Studies in Fuzziness and Soft Computingpp.235-267, (2024)
Studies in computational intelligencepp.11-62, (2023)
Studies in computational intelligencepp.63-77, (2023)
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