Bi-monotonic fuzzy sets lead to optimal fuzzy interfaces

Authors:
Giovanna Castellano;Anna M. Fanelli;Corrado Mencar
Affiliations:
CILAB – Computational Intelligence LABoratory, Department of Informatics, University of Bari, Bari, Italy;CILAB – Computational Intelligence LABoratory, Department of Informatics, University of Bari, Bari, Italy;CILAB – Computational Intelligence LABoratory, Department of Informatics, University of Bari, Bari, Italy
Venue:
WILF'03 Proceedings of the 5th international conference on Fuzzy Logic and Applications
Year:
2003

Citing 5
Cited 0

Why triangular membership functions?

Fuzzy Sets and Systems
A fuzzy c-means variant for the generation of fuzzy term sets

Fuzzy Sets and Systems - Theme: Modeling and learning
Optimization of fuzzy models

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Modified Gath-Geva fuzzy clustering for identification of Takagi-Sugeno fuzzy models

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A design methodology for fuzzy system interfaces

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.00

Visualization

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.