MT540 - Métodos Morfológicos de Computação em Reticulados - 2S/2025 Imprimir

Ementa:

Ordem parcial; reticulado completo; homomorfismos; operadores morfológicos algébricos; adjunção; morfologia matemática L-fuzzy; redes neurais morfológicas; memórias associativas em reticulados; medidas em reticulados; raciocínio em reticulados fuzzy; aplicações em processamento de imagens e inteligência computacional.

Bibliografia:

1. R. Bělohlávek, Fuzzy Relational Systems: Foundations and Principles, Kluwer Academic / Plenum Publishers, New York, 2002.
2. G. Birkhoff, Lattice Theory, 3rd edition, American Mathematical Society, 1993.
3. P. Cintula, C. G. Fermüller, C. Noguera, "Fuzzy Logic", The Stanford Encyclopedia of Philosophy (Summer 2023 Edition), E. N. Zalta & U. Nodelman eds, <https://plato.stanford.edu/archives/sum2023/entries/logic-fuzzy/>
4. R.A. Cuninghame-Green, Minimax Algebra, Lecture Notes in Economics and Mathematical Systems, 166, Springer, Berlin (1979).
5. B.A. Davey, H.A. Priestley, Introduction to Lattices and Order, Cambridge University Press, 2002.
6. L. Fuchs, Partially ordered algebraic systems, Oxford: Pergamon Press, 1963.
7. H.J.A.M. Heijmans, Morphological Image Operators, Academic Press, NY, 1994.
8. J. M. Mendel, Explainable Uncertain Rule-Based Fuzzy Systems, Pearson, 2024.
9. H. Nguyen, E.A. Walker. A First Course in Fuzzy Logic, Fourth Edition, Chapman & Hall/CRC, 2019.
10. G. X. Ritter, G. Urcid, Introduction to Lattice Algebra: With Applications in AI, Pattern Recognition, Image Analysis, and Biomimetic Neural Networks, CRC Press, 2022.
11. P. Sussner: Some Approaches towards Lattice Computing in Mathematical Morphology and Computational Intelligence, Proceedings of FLINS. L-18 2014.

Ano de Catálogo: 2025

Créditos: 4