On the Relationship Between the Centroid and the Footprint of Uncertainty of Interval Type-2 Fuzzy Numbers

Authors: J.C. Figueroa-Garcia, Roman Neruda, Y. Chalco-Cano, H. Roman-Flores
Publication year: 2020
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: 2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
Projects: Capabilities and limitations of shallow and deep networks
Bibliographic citation: FIGUEROA-GARCIA, J.C., NERUDA, Roman, CHALCO-CANO, Y., ROMAN-FLORES, H. On the Relationship Between the Centroid and the Footprint of Uncertainty of Interval Type-2 Fuzzy Numbers. In: 2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). Piscataway: IEEE, 2020, č. článku 9177600. ISBN 978-1-7281-6932-3
Dostupné z: doi:10.1109/FUZZ48607.2020.9177600
DOI: 10.1109/FUZZ48607.2020.9177600
ID: 532657

Abstract

This paper presents experimental results about the relationship between the Footprint Of Uncertainty (FOU) and the centroid of Interval Type-2 Fuzzy Numbers (IT2FN) which are a subclass of Type-2 fuzzy numbers. Four types of IT2FNs are analyzed: singleton-core triangular, interval-core triangular, singleton-core Gaussian and interval-core Gaussian IT2FNs. A quadratic relationship was detected, characterized, and their results are presented and discussed using numerical experiments.