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A View of f-indexes of Inclusion Under Different Axiomatic Definitions of Fuzzy Inclusion

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Scalable Uncertainty Management (SUM 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10564))

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Abstract

In this paper we analyze the novel constructive definition of f-index of inclusion with respect to four of the most common axiomatic definitions of inclusion measure, namely Sinha-Dougherty, Kitainik, Young and Fan-Xie-Pei. There exist an important difference between the f-index and these axiomatic definitions of inclusion measure: the f-index represents the inclusion in terms of a mapping in unit interval, whereas the inclusion measure represents such an inclusion as a value in the unit interval.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Málaga, Málaga, Spain

    Nicolás Madrid & Manuel Ojeda-Aciego

Authors
  1. Nicolás Madrid
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  2. Manuel Ojeda-Aciego
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Corresponding author

Correspondence to Nicolás Madrid .

Editor information

Editors and Affiliations

  1. University of Granada, Granada, Spain

    Serafín Moral

  2. University of Rennes I, Lannion, France

    Olivier Pivert

  3. University of Granada, Granada, Spain

    Daniel Sánchez

  4. University of Granada, Granada, Spain

    Nicolás Marín

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Madrid, N., Ojeda-Aciego, M. (2017). A View of f-indexes of Inclusion Under Different Axiomatic Definitions of Fuzzy Inclusion. In: Moral, S., Pivert, O., Sánchez, D., Marín, N. (eds) Scalable Uncertainty Management. SUM 2017. Lecture Notes in Computer Science(), vol 10564. Springer, Cham. https://doi.org/10.1007/978-3-319-67582-4_22

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  • DOI: https://doi.org/10.1007/978-3-319-67582-4_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67581-7

  • Online ISBN: 978-3-319-67582-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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