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WEA 2016: Applied Computer Sciences in Engineering pp 247–257Cite as

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

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 657))

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.

J.C. Figueroa-García—Assistant Professor at the Universidad Distrital Francisco José de Caldas, Bogotá - Colombia.

G.J. Hernández-Pérez—Associate Professor of the Engineering Department of the Universidad Nacional de Colombia, Bogotá Campus.

Y. Chalco-Cano—Full Time Professor of the Mathematics Department of the Universidad de Tarapacá, Arica - Chile.

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Authors and Affiliations

  1. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Juan Carlos Figueroa-García

  2. Universidad Nacional de Colombia, Bogotá Campus, Bogotá, Colombia

    Germán Jairo Hernández-Pérez

  3. Instituto de Alta Investigación, Universidad de Tarapacá, Arica, Chile

    Yurilev Chalco-Cano

Authors
  1. Juan Carlos Figueroa-García
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  2. Germán Jairo Hernández-Pérez
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  3. Yurilev Chalco-Cano
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Corresponding author

Correspondence to Juan Carlos Figueroa-García .

Editor information

Editors and Affiliations

  1. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Juan Carlos Figueroa-García

  2. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Eduyn Ramiro López-Santana

  3. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Roberto Ferro-Escobar

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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: Figueroa-García, J., López-Santana, E., Ferro-Escobar, R. (eds) Applied Computer Sciences in Engineering. WEA 2016. Communications in Computer and Information Science, vol 657. Springer, Cham. https://doi.org/10.1007/978-3-319-50880-1_22

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  • DOI: https://doi.org/10.1007/978-3-319-50880-1_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-50879-5

  • Online ISBN: 978-3-319-50880-1

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