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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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Formal Manipulation of Fuzzy Rule Based Systems,uzzy systems. These techniques not only compress the information contained by the fuzzy system but they also facilitate the identification of the properties of the fuzzy rule base. However, sometimes we may want to change the properties of a fuzzy rule base by manipulating its formal presentation ap
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Formal Manipulation with Special Rule Bases,hese techniques allow the compressed information about the fuzzy system contained in the Boolean matrix and the binary relation to be reorganised for the purpose of analysis or synthesis. This reorganisation is carried out by representing a single operand rule base with a couple of product rule base
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Formal Transformation of Feedback Rule Bases,rule base, but sometimes there may also be information flow in a backward direction, i.e. from some outputs to some inputs. This FB may be as simple as 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 wher
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Formal Simplification of Fuzzy Rule Based Systems,ative complexity. However, the material presented here is a natural extension of the concepts introduced earlier in relation to qualitative complexity. In this context, the overall complexity management process in fuzzy systems has to be seen as a general framework whereby we first use formal presen
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