Hyperbolic Approach to Fuzzy Control is Optimal

Authors

Hung T. Nguyen
Vladik Kreinovich, The University of Texas at El PasoFollow
Michael Margaliot
Gideon Langholtz

Publication Date

9-2001

Comments

UTEP-CS-01-13a.

Published in Proceedings of the 10th IEEE International Conference on Fuzzy Systems FUZZ-IEEE'2001, Melbourne, Australia, December 2-5, 2001, Vol. 2, pp. 888-891.

Abstract

In a series of papers and a book, M. Margaliot and G. Langholz proposed a hyperbolic approach to fuzzy control, in which they apply a certain hyperbolic non-linear transformation to the original variables. In this paper, we consider all possible non-linear transformations of this type and show that this hyperbolic transformation is indeed optimal.