Titlebook: Complexity Management in Fuzzy Systems; A Rule Base Compress Alexander Gegov Book 2007 Springer-Verlag Berlin Heidelberg 2007 Complex fuzzy

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Introduction,ing which is a direct consequence of our habits to consume products that require the use of large amounts of energy. Without a doubt, global warming has already become a very complex environmental problem that requires urgent and coordinated actions by international institutions if we want to save our world for future generations.

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Formal Manipulation of Fuzzy Rule Based Systems,erties of the fuzzy rule base. However, sometimes we may want to change the properties of a fuzzy rule base by manipulating its formal presentation appropriately. For example, we may want to make an inconsistent rule base consistent or an incomplete rule base complete.

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Formal Transformation of Feedback Rule Bases,s an identity mapping line whereby an output is fed back unchanged directly into an input. In other cases, the FB may be of a more complex nature whereby the output passes through a . (FRB) that changes it before it is fed into the corresponding input.

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Formal Manipulation with Special Rule Bases,s, or alternatively, by representing a couple of operand rule bases with a single product rule base. In either case, no special requirements are usually placed on the corresponding operand or product rule bases, i.e. the latter may be any arbitrary rule bases.

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Introduction,y aspects, these advances also bring new challenges that add to the overall complexity in this world. A typical example in this respect is global warming which is a direct consequence of our habits to consume products that require the use of large amounts of energy. Without a doubt, global warming h

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Rule Base Reduction Methods for Fuzzy Systems,y, this group of methods and all other methods in the current chapter will be illustrated by integer tables such that the linguistic values of the inputs are coded by integers whereas the outputs are either skipped as irrelevant or presented in a general form.

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