In this paper, we address the issue of designing optimal fuzzy interfaces, which are fundamental components of fuzzy models. In particular, we prove that for a class of so-called bi-monotonic fuzzy sets, optimal interfaces can be guaranteed if mild conditions hold. The class of bi-monotonic fuzzy sets covers a broad range of fuzzy sets shapes, including convex fuzzy sets, so that the provided theoretical results can be applied to a wide range of fuzzy models. As a practical result, the paper provides a set of guidelines that can be followed for the design of optimal fuzzy interfaces.
Bi-monotonic fuzzy sets lead to optimal fuzzy interfaces
CASTELLANO, GIOVANNA;FANELLI, Anna Maria;MENCAR, CORRADO
2006-01-01
Abstract
In this paper, we address the issue of designing optimal fuzzy interfaces, which are fundamental components of fuzzy models. In particular, we prove that for a class of so-called bi-monotonic fuzzy sets, optimal interfaces can be guaranteed if mild conditions hold. The class of bi-monotonic fuzzy sets covers a broad range of fuzzy sets shapes, including convex fuzzy sets, so that the provided theoretical results can be applied to a wide range of fuzzy models. As a practical result, the paper provides a set of guidelines that can be followed for the design of optimal fuzzy interfaces.File in questo prodotto:
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