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2016 | OriginalPaper | Chapter

On Computing the Footprint of Uncertainty of an Interval Type-2 Fuzzy Set as Uncertainty Measure

Authors : Juan Carlos Figueroa-García, Germán Jairo Hernández-Pérez, Yurilev Chalco-Cano

Published in: Applied Computer Sciences in Engineering

Publisher: Springer International Publishing

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Abstract

This paper presents a uncertainty measure of an Interval Type-2 fuzzy set based on its Footprint of Uncertainty. The proposed measure provides information about the amount of uncertainty contained into an Interval Type-2 fuzzy set. Some relationships between the proposed measure and other well known measures of an Interval Type-2 fuzzy set as the centroid, variance, cardinality, etc. are defined and illustrated through some application examples.

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Metadata
Title
On Computing the Footprint of Uncertainty of an Interval Type-2 Fuzzy Set as Uncertainty Measure
Authors
Juan Carlos Figueroa-García
Germán Jairo Hernández-Pérez
Yurilev Chalco-Cano
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-50880-1_22

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