Wiener's Conjecture About Transformation Groups Helps Predict Which Fuzzy Techniques Work Better

Authors

Francisco Zapata, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

5-2014

Comments

Technical Report: UTEP-CS-14-26a

Published in Proceedings of the 2014 Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2014, Boston, Massachusetts, June 24-26, 2014.

Abstract

Often, application success only comes when we select specific fuzzy techniques (t-norm, membership function, etc.) -- and in different applications, different techniques are the best. How to find the best technique? Exhaustive search of all techniques is not an option: there are too many of them. We need to come up with a narrow class of promising techniques, so that trying them all is realistic. In this paper, we show that such a narrowing can be obtained from transformation groups techniques motivated by N. Wiener's conjecture -- which was, in its turn, motivated by observations about human vision.