By Bilal M. Ayyub
Uncertainty has been a priority to engineers, managers, and scientists for a few years in engineering and sciences. Uncertainty has for a very long time been thought of synonymous with random, stochastic, statistic, or probabilistic. because the early sixties perspectives on uncertainty became extra heterogeneous and extra instruments that version uncertainty than statistics were proposed by way of a number of engineers and scientists. The software/ option to version uncertainty in a particular context should still relatively be offerings via contemplating the positive aspects of the phenomenon into consideration now not independently of what's recognized concerning the process and what motives uncertainty. utilized study in Uncertainty Modeling research concentrates on basic features of uncertainty, modeling, and techniques, and includes huge numbers of examples on engineering and sciences.
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Extra info for Applied Research in Uncertainty Modeling and Analysis (International Series in Intelligent Technologies)
For simplicity, let and then The input information , however, can be recognized only through the existing synaptic connection with recognizable input is always equal to 0, since if then the regardless of the A Self-Organizing Neural Network input value of 27 . To avoid this dilemma, let us introduce a supplemental growing scheme that if the ith sensory neuron fires, distances between its axon and the dendrites of some possible target neurons, , become sufficiently short to form synaptic connections temporary.
24 Noriyasu Homma, et al The input x(k) to the neuron may be external signals or outputs from other neurons, but no self-feedback connection is considered in this paper. By the definition of the weight vector, the derivatives are 0 for Then the spatial changes in the weights are defined by the diagonal matrix as In general a necessary condition to form the ith synaptic weight is that the spatial distance is sufficiently short. As listed below various functions that satisfy this condition can be used for representing the relation between weights and distances i = 1, 2, K , n.
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Applied Research in Uncertainty Modeling and Analysis (International Series in Intelligent Technologies) by Bilal M. Ayyub