MT540 - Métodos Morfológicos de Computação em Reticulados - 1S/2023 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] G. Birkhoff, Lattice Theory, 3rd edition, American Mathematical Society, Providence, 1993; [2] H. Bustince, J. Fernandez, A. Kolesarová, R. Mesiar, Generation of linear orders or intervals by means of aggregation functions, Fuzzy Sets and Systems, 220, 69-77, 2013; [3] B.A. Davey, H.A. Priestley, Introduction to Lattices and Order, Cambridge University Press, 2002; [4] E Esmi, P. Sussner, S. Sandri: Tunable equivalence fuzzy associative memories. Fuzzy Sets Syst. 288, 115-128, 2016; [5] J. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18(1) (1967), 145-174; [6] H.J.A.M. Heijmans, Morphological Image Operators, Academic Press, New York, NY, 1994; [7] H.J.A.M. Heijmans, Mathematical morphology: a modern approach in image processing based on algebra and geometry, SIAM Rev. 37(1) (1995), 1-35; [8] V. Kaburlasos, A. Kehagias, Fuzzy inference system (FIS) extensions based on lattice theory, IEEE Trans. Fuzzy Syst. 22(3) (2014) 531-546; [9] V. G. Kaburlasos, G. X. Ritter, eds., Computational Intelligence Based on Lattice Theory, Studies in Computational Intelligence, Springer, Berlin, Heidelberg, 2007; [10] H. T. Nguyen and E. A. Walker: A First Course in Fuzzy Logic, Chapman and Hall/CRC; 3rd edition (October, 2005); [11] P. Sussner, M. Nachtegael, T. Mélange, G. Deschrijver, E. Esmi, E. Kerre, Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of L-fuzzy mathematical morphology, J. Math. Imaging Vis. 43 (2012) 50-71; [12] P. Sussner: ”Some Approaches towards Lattice Computing in Mathematical Morphology and Computational Intelligence”, em Proceedings of the 11th Int. FLINS Conf. on Decision Making and Soft Computing, p. L-18, João Pessoa, August 2014; [13] M.E. Valle, P. Sussner, Storage and recall capabilities of fuzzy morphological associative memories with adjunction-based learning, Neural Netw. 24(1), 2011, 75-90.

Ano de Catálogo: 2023

Créditos: 4