How to Gauge the Accuracy of Fuzzy Control Recommendations: A Simple Idea

Authors

Patricia Melin, Instituto Tecnologico de TijuanaFollow
Oscar Castillo, Instituto Tecnologico de TijuanaFollow
Andrzej Pownuk, 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

6-2017

Comments

Technical Report: UTEP-CS-17-56

To appear in: Proceedings of the 2017 Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2017, Cancun, Mexico, October 16-18, 2017

Abstract

Fuzzy control is based on approximate expert information, so its recommendations are also approximate. However, the traditional fuzzy control algorithms do not tell us how accurate are these recommendations. In contrast, for the probabilistic uncertainty, there is a natural measure of accuracy: namely, the standard deviation. In this paper, we show how to extend this idea from the probabilistic to fuzzy uncertainty and thus, to come up with a reasonable way to gauge the accuracy of fuzzy control recommendations.