When Should We Switch from Interval-Valued Fuzzy to Full Type-2 Fuzzy (e.g., Gaussian)?

Authors

Vladik Kreinovich, The University of Texas at El PasoFollow
Chrysostomos D. Stylios, Technological Educational Institute of EpirusFollow

Publication Date

6-2015

Comments

Technical Report: UTEP-CS-15-52

Published in Critical Reviews, 2015, Vol. XI, pp. 57-66.

Abstract

Full type-2 fuzzy techniques provide a more adequate representation of expert knowledge. However, such techniques also require additional computational efforts, so we should only use them if we expect a reasonable improvement in the result of the corresponding data processing. It is therefore important to come up with a practically useful criterion for deciding when we should stay with interval-valued fuzzy and when we should use full type-2 fuzzy techniques. Such a criterion is proposed in this paper. We also analyze how many experts we need to ask to come up with a reasonable description of expert uncertainty.