On computing the footprint of uncertainty of an interval type-2 fuzzy set as uncertainty measure

Juan Carlos Figueroa-García; Germán Jairo Hernández-Pérez; Yurilev Chalco-Cano

doi:10.1007/978-3-319-50880-1_22

On computing the footprint of uncertainty of an interval type-2 fuzzy set as uncertainty measure

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

Department of Mathematics

Universidad Distrital Francisco José de Caldas
Universidad Nacional de Colombia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

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.

Original language	English
Title of host publication	Applied Computer Sciences in Engineering - 3rd Workshop on Engineering Applications, WEA 2016, Revised Selected Papers
Editors	Juan Carlos Figueroa-García, Eduyn Ramiro López-Santana, Roberto Ferro-Escobar
Publisher	Springer Nature
Pages	247-257
Number of pages	11
ISBN (Print)	9783319508795
DOIs	https://doi.org/10.1007/978-3-319-50880-1_22
State	Published - 2016
Event	3rd Workshop on Engineering Applications, WEA 2016 - Bogota, Colombia Duration: 21 Sep 2016 → 23 Sep 2016

Publication series

Name	Communications in Computer and Information Science
Volume	657
ISSN (Print)	1865-0929

Conference

Conference	3rd Workshop on Engineering Applications, WEA 2016
Country/Territory	Colombia
City	Bogota
Period	21/09/16 → 23/09/16

Keywords

Cardinality
Interval type-2 fuzzy sets
Uncertainty measure

Access to Document

10.1007/978-3-319-50880-1_22

Cite this

Figueroa-García, J. C., Hernández-Pérez, G. J., & Chalco-Cano, Y. (2016). On computing the footprint of uncertainty of an interval type-2 fuzzy set as uncertainty measure. In J. C. Figueroa-García, E. R. López-Santana, & R. Ferro-Escobar (Eds.), Applied Computer Sciences in Engineering - 3rd Workshop on Engineering Applications, WEA 2016, Revised Selected Papers (pp. 247-257). (Communications in Computer and Information Science; Vol. 657). Springer Nature. https://doi.org/10.1007/978-3-319-50880-1_22

Figueroa-García, Juan Carlos ; Hernández-Pérez, Germán Jairo ; Chalco-Cano, Yurilev. / On computing the footprint of uncertainty of an interval type-2 fuzzy set as uncertainty measure. Applied Computer Sciences in Engineering - 3rd Workshop on Engineering Applications, WEA 2016, Revised Selected Papers. editor / Juan Carlos Figueroa-García ; Eduyn Ramiro López-Santana ; Roberto Ferro-Escobar. Springer Nature, 2016. pp. 247-257 (Communications in Computer and Information Science).

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Figueroa-García, JC, Hernández-Pérez, GJ & Chalco-Cano, Y 2016, On computing the footprint of uncertainty of an interval type-2 fuzzy set as uncertainty measure. in JC Figueroa-García, ER López-Santana & R Ferro-Escobar (eds), Applied Computer Sciences in Engineering - 3rd Workshop on Engineering Applications, WEA 2016, Revised Selected Papers. Communications in Computer and Information Science, vol. 657, Springer Nature, pp. 247-257, 3rd Workshop on Engineering Applications, WEA 2016, Bogota, Colombia, 21/09/16. https://doi.org/10.1007/978-3-319-50880-1_22

On computing the footprint of uncertainty of an interval type-2 fuzzy set as uncertainty measure. / Figueroa-García, Juan Carlos; Hernández-Pérez, Germán Jairo; Chalco-Cano, Yurilev.
Applied Computer Sciences in Engineering - 3rd Workshop on Engineering Applications, WEA 2016, Revised Selected Papers. ed. / Juan Carlos Figueroa-García; Eduyn Ramiro López-Santana; Roberto Ferro-Escobar. Springer Nature, 2016. p. 247-257 (Communications in Computer and Information Science; Vol. 657).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Figueroa-García JC, Hernández-Pérez GJ, Chalco-Cano Y. On computing the footprint of uncertainty of an interval type-2 fuzzy set as uncertainty measure. In Figueroa-García JC, López-Santana ER, Ferro-Escobar R, editors, Applied Computer Sciences in Engineering - 3rd Workshop on Engineering Applications, WEA 2016, Revised Selected Papers. Springer Nature. 2016. p. 247-257. (Communications in Computer and Information Science). doi: 10.1007/978-3-319-50880-1_22

On computing the footprint of uncertainty of an interval type-2 fuzzy set as uncertainty measure

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