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The limits of fuzzy logic.

Juan Luis Castro — 1999

Mathware and Soft Computing

In this paper we try to answer the following questions: What can be made by applying fuzzy logic? and What can not be made by applying fuzzy logic? The question will be analyzed from both a theoretical and an applied point of view. A (partial) answer will be given for three topics: a) as calculus procedure b) as reasoning mechanism and c) as engineering tool.

The logic of neural networks.

Juan Luis CastroEnric Trillas — 1998

Mathware and Soft Computing

This paper establishes the equivalence between multilayer feedforward networks and linear combinations of Lukasiewicz propositions. In this sense, multilayer forward networks have a logic interpretation, which should permit to apply logical techniques in the neural networks framework.

Similarity in fuzzy reasoning.

Frank KlawonnJuan Luis Castro — 1995

Mathware and Soft Computing

Fuzzy set theory is based on a `fuzzification' of the predicate in (element of), the concept of membership degrees is considered as fundamental. In this paper we elucidate the connection between indistinguishability modelled by fuzzy equivalence relations and fuzzy sets. We show that the indistinguishability inherent to fuzzy sets can be computed and that this indistinguishability cannot be overcome in approximate reasoning. For our investigations we generalize from the unit interval as the basis...

A multicriteria genetic tuning for fuzzy logic controllers.

Rafael AlcaláJorge CasillasJuan Luis CastroAntonio GonzálezFrancisco Herrera — 2001

Mathware and Soft Computing

This paper presents the use of genetic algorithms to develop smartly tuned fuzzy logic controllers in multicriteria complex problems. This tuning approach has some specific restrictions that make it very particular and complex because of the large time requirements existing due to the need of considering multiple criteria -which enlarges the solution search space-, and to the long computation time models usually used for fitness assessment. To solve these restrictions, two efficient genetic tuning...

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