Title :
Wiener´s conjecture about transformation groups helps predict which fuzzy techniques work better
Author :
Zapata, Francisco ; Kosheleva, Olga ; Kreinovich, Vladik
Author_Institution :
Res. Inst. for Manuf. & Eng. Syst., Univ. of Texas at El Paso, El Paso, TX, USA
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.
Keywords :
fuzzy logic; fuzzy set theory; stochastic processes; Wiener conjecture; fuzzy techniques; human vision; transformation group techniques; Cognition; Knowledge engineering; Manufacturing; Medical services; Shape; Transforms; Uncertainty;
Conference_Titel :
Norbert Wiener in the 21st Century (21CW), 2014 IEEE Conference on
Conference_Location :
Boston, MA
DOI :
10.1109/NORBERT.2014.6893886