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Refinements of Orthopairs and IUML-algebras

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Rough Sets (IJCRS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9920))

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Abstract

In this paper we consider sequences of orthopairs given by refinement sequences of partitions of a finite universe. While operations among orthopairs can be fruitfully interpreted by connectives of three-valued logics, we describe operations among sequences of orthopairs by means of the logic IUML of idempotent uninorms having an involutive negation.

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Notes

  1. 1.

    For the sake of space, rows and columns are switched with respect to the standard convention of representing attributes as columns and rows as objects.

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Author information

Authors and Affiliations

  1. Università di Milano, Milano, Italy

    Stefano Aguzzoli

  2. Università dell’ Insubria, Varese, Italy

    Stefania Boffa & Brunella Gerla

  3. Università di Milano–Bicocca, Milano, Italy

    Davide Ciucci

Authors
  1. Stefano Aguzzoli
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  2. Stefania Boffa
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  3. Davide Ciucci
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  4. Brunella Gerla
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Corresponding author

Correspondence to Stefania Boffa .

Editor information

Editors and Affiliations

  1. Universidad Católica del Norte, Antofagasta, Chile

    Víctor Flores

  2. University of Campinas, Campinas, SP, Brazil

    Fernando Gomide

  3. University of Warsaw, Warsaw, Poland

    Andrzej Janusz

  4. Universidad del Católica del Norte, Antofagasta, Chile

    Claudio Meneses

  5. Tongji University, Shanghai, China

    Duoqian Miao

  6. University of Applied Sciences, Munich, Germany

    Georg Peters

  7. University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

  8. Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

  9. Universidad de Chile, Santiago, Chile

    Richard Weber

  10. University of Regina, Regina, Saskatchewan, Canada

    Yiyu Yao

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Aguzzoli, S., Boffa, S., Ciucci, D., Gerla, B. (2016). Refinements of Orthopairs and IUML-algebras. In: Flores, V., et al. Rough Sets. IJCRS 2016. Lecture Notes in Computer Science(), vol 9920. Springer, Cham. https://doi.org/10.1007/978-3-319-47160-0_8

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  • DOI: https://doi.org/10.1007/978-3-319-47160-0_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-47159-4

  • Online ISBN: 978-3-319-47160-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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