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Measuring Uncertainty in Orthopairs

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10369))

Abstract

In many situations information comes in bipolar form. Orthopairs are a simple tool to represent and study this kind of information, where objects are classified in three different classes: positive, negative and boundary. The scope of this work is to introduce some uncertainty measures on orthopairs. Two main cases are investigated: a single orthopair and a collection of orthopairs. Some ideas are taken from neighbouring disciplines, such as fuzzy sets, intuitionistic fuzzy sets, rough sets and possibility theory.

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Notes

  1. 1.

    We recall that the Hartley measure is defined on crisp sets as: \(H_{Hartley}(X) = log|X|\).

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Author information

Authors and Affiliations

  1. DISCo, University of Milano-Bicocca, Milan, Italy

    Andrea Campagner & Davide Ciucci

Authors
  1. Andrea Campagner
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  2. Davide Ciucci
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Corresponding author

Correspondence to Davide Ciucci .

Editor information

Editors and Affiliations

  1. IDSIA, Lugano, Switzerland

    Alessandro Antonucci

  2. ONERA, Toulouse, France

    Laurence Cholvy

  3. Aix-Marseille University, Marseille, France

    Odile Papini

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Campagner, A., Ciucci, D. (2017). Measuring Uncertainty in Orthopairs. In: Antonucci, A., Cholvy, L., Papini, O. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2017. Lecture Notes in Computer Science(), vol 10369. Springer, Cham. https://doi.org/10.1007/978-3-319-61581-3_38

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  • DOI: https://doi.org/10.1007/978-3-319-61581-3_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-61580-6

  • Online ISBN: 978-3-319-61581-3

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