mentary fuzzy set operations. For in stance, the abstracted library spectrum in Figure 8a can be compared with a sample spectrum in Figure 8b by fuzzy intersection. Thus a spectral library search can be performed with a higher matching rate than those of methods
that use conventional similarity or dis tance measures. F u z z y d a t a analysis The uncertainty of experimental ob servations can also be expressed by fuzzy sets. A difference from statistical
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Figure 7. Kosko's Bidirectional Associative Memory (BAM) consisting of the neuron input field F A and output neurons F B interconnected symmetrically by the synapses.
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Figure 8. Representation of U V spectra in a fuzzy neural network, the adaptive BAM. (a) Spectra recorded under different experimental conditions are stored as fuzzy sets in the neuron fields F A and F B . (b) Crisp sample spectrum presented to the neural network for comparison with the stored fuzzy spectra.
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ANALYTICAL CHEMISTRY, VOL. 62, NO. 14, JULY 15, 1990 · 801 A
