Title :
Effect of noise on chaotic fuzzy mappings
Author :
Zardecki, Andrew
Author_Institution :
Los Alamos Nat. Lab., NM, USA
Abstract :
Chaotic mappings in the space of fuzzy sets induced by mappings of the underlying reference set are investigated. Different fuzzification schemes are considered and their impact on the resultant iterated fuzzy set, under a quadratic mapping, is studied numerically. The fuzzy set mapping is described in terms of the mapping of level cuts, resulting from the resolution theorem for fuzzy sets. In the two-dimensional case a generalized notion, given as a fuzzy set, of the Hausdorff dimension is formulated. An example, based on the Henon mapping, is provided
Keywords :
Henon mapping; chaos; fuzzy set theory; fuzzy systems; iterative methods; noise; 2D mapping; Hausdorff dimension; Henon mapping; chaos; chaotic fuzzy mappings; fuzzification; fuzzy dynamical systems; fuzzy set theory; iterated mapping; noise; quadratic mapping; Additive noise; Arithmetic; Chaos; Entropy; Fuzzy sets; Fuzzy systems; Laboratories; Level set; Noise measurement;
Conference_Titel :
Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-3645-3
DOI :
10.1109/FUZZY.1996.552390
