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| <pre>
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| In 1991 the idea that the apparatus of Generalized Nets (GNs, see [A1, A2,
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| A3, A4]) can be used as a mathematical foundation of the Artificial
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| Intelligence (AI) was introduced (see [A5]). During the last years, a lot of
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| results were obtained and a lot of papers and books were published connected
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| to the realization of this idea. Already, there are GN-models describing the
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| way of functioning and the results of the work of separate types of
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| databases and expert systems. The separate types of genetic algorithms and
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| of ant collony optimizations are described by GNs. The processes of pattern
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| and speech recognition and of scene analysis also are represented by GNs.
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| Now it is clear that the GNs are not only a tool for modelling of processes,
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| but a methodology for their description, simulation and (that is the most
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| import) extension. After describing of the expert system by a GN, there was
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| shown that the concept of an expert system can be extended with new
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| components, so that from one side the new expert system also to be modelled
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| by a GN, and from another hand, the new expert system to have essentially
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| new components. For example, expert systems with priorities of their facts
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| and roles were introduced. Expert systems with special meta-facts, that
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| change the rules, but that are essentially more suitable for applying were
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| constructed. As extensions of fuzzy expert systems, intuitionistic fuzzy
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| expert systems were defined. Expert systems that can answer to temporal and
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| modal questions were described.
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| In the present book the authors collect a part of their research in the area
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| of Neural Networks (NNs). Here we construct GNs representing the way of
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| functioning and the results of the work of separate types of NNs. Here we
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| describe feedforward types of NNs as multilayer perceptron (MPL) by GNs. Here, we
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| give also GNs that determine the optimal forms of NNs and MPL using golden
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| sections algorithm. The possibility of the parallel work and transfer of information
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| among a lot of NNs, but in the frames of one GN is discussed.
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| In the second book we will discuss the program realization of the GN-models,
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| describing here.
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| So, we like to show that the apparatus of the GNs is a suitable tool for
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| modelling of NNs.
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| </pre>
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