By Da Ruan, Tianrui Li, Yang Xu, Guoqing Chen, Etienne E. Kerre
FLINS, initially an acronym for Fuzzy common sense and clever applied sciences in Nuclear technological know-how, is now prolonged to Computational Intelligence for utilized examine. The contributions to the 9th within the sequence of FLINS meetings disguise state of the art learn, improvement, and expertise for computational intelligence structures -- either from foundations and functions points-of-view.
Read or Download Computational Intelligence: Foundations and Applications, Proceedings of the 9th International FLINS Conference (World Scientific Proceedings Series on Computer Engineering and Information Science) PDF
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Additional info for Computational Intelligence: Foundations and Applications, Proceedings of the 9th International FLINS Conference (World Scientific Proceedings Series on Computer Engineering and Information Science)
Pl ∈ [a, b] and A1 , . . , An , n < l, be basic functions which constitute a fuzzy partition of [a, b]. We say that the n-tuple of real numbers [F1 , . . , Fn ] is the discrete F-transform of f with respect to A1 , . . , An if Fk = l j=1 f (pj )Ak (pj ) . l j=1 Ak (pj ) (5) Similarly to the integral F-transform, we may show that the components of the discrete F-transform are the weighted mean values of the given function where the weights are given by the basic functions. 1. Inverse F-transform The inverse F-transform (with respect to A1 , .
The element vS is a typical medium value (not necessarily laying in the precise center of the interval [vS , vR ]). For example, Extremely Small Medium Roughly Big Very (a) 0 4 10 0 4 10 (b) Fig. 1. Extensions of evaluative expressions “extremely small”, “very small”, “small”, Big ? VeSm? 0, 50, 100 and their comparison with categories. (c) ExSm 4 0 10 when speaking about “age of people”, the context can be w = 0, 45, 100 where people below 45 years are surely “young”, those around 45 are “middle aged”, and those over 100 are surely “old”.
Mathematically, if u is an ideal image (considered as a function with two variables) and C1 , . . , CN are acquired channels then the relation between each Ci and u is expressed by Ci (x, y) = Di (u(x, y)) + si (x, y) June 7, 2010 15:10 WSPC - Proceedings Trim Size: 9in x 6in InvTalk 35 where Di is an unknown operator describing the image degradation and si is an additive random noise. To fuse images from channels means to obtain an image u ˆ which gives in some sense better representation of u than each individual channel Ci .