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The aim of this paper is to introduce a fuzzy control model with well{founded semantics in order to explain the concepts applied in fuzzy control. Assuming that the domains of the input{ and output variables for the process are endowed with equality relations, that reeect the indistinguishability of values lying closely together, the use of triangular and… (More)

This paper describes techniques for deriving fuzzy classiication rules based on special modiied fuzzy clustering algorithms. The basic idea is that each fuzzy cluster induces a fuzzy classiication rule. The fuzzy sets appearing in a rule associated with a fuzzy cluster are obtained by projecting the cluster to the one{ dimensional coordinate spaces. In… (More)

In this paper we survey the main approaches to fuzzy shell cluster analysis which is simply a generalization of fuzzy cluster analysis to shell like clusters, i.e. clusters that lie in nonlinear subspaces. Therefore we introduce the main principles of fuzzy cluster analysis rst. In the following we present some fuzzy shell clustering algorithms. In many… (More)

- C Borgelt, J Gebhardt, R Kruse
- 2004

This section investigates graphical modeling as a powerful framework for drawing inferences under imprecision and uncertainty. We survey the semantical background and relevant properties of relational, probabilistic, and possibilistic networks and consider evidence propagation in such networks as well as methods for learning them from data. Whereas the… (More)

The distribution of soil classes is an important factor in agricultural soils. In order to generate the soil classification, fuzzy soil classifications were developed to provide the means to characterize and quantify the soil classes. This paper presents an index of fuzzy soil classification generated by Fuzzy C-means classification. The ability of… (More)

- Jörg Krone, Ulrich Lehmann, Oliver Drölle, Udo Reitz, Hans Brenig, Thomas Bäck +16 others
- 2005

Fuzzy systems are currently being used in a wide field of industrial and scientific applications. Since the design and especially the optimization process of fuzzy systems can be very time consuming, it is convenient to have algorithms which construct and optimize them automatically. One popular approach is to combine fuzzy systems with learning techniques… (More)

The author of this book is one of the best known researchers in the ®eld of interior point algorithms for linear programming and other optimisation problems. This is attested to by the long list of references in his own name included in the bibliography, the bibliography was very up to date on publications and the book bene®ts from research results… (More)

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