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International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems

IPMU 2012: Advances in Computational Intelligence pp 19–28Cite as

On Mean Value and Variance of Interval-Valued Fuzzy Numbers

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 299))

Abstract

In this paper we introduce an interval-valued mean for interval-valued fuzzy numbers. We also define a variance for interval-valued fuzzy numbers. We discuss some basic properties of the new concepts. The mean value and variance can be utilized as a ranking method for interval-valued fuzzy numbers.

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Author information

Authors and Affiliations

  1. IAMSR, Åbo Akademi University, Joukahaisenkatu 3-5 A, FIN-20520, Turku, Finland

    Christer Carlsson, Robert Fullér & József Mezei

  2. Institute of Intelligent Engineering Systems, John von Neumann Faculty of Informatics, Óbuda University, Bécsi út 96/b, H-1034, Budapest, Hungary

    Robert Fullér

Authors
  1. Christer Carlsson
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  2. Robert Fullér
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  3. József Mezei
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Editor information

Editors and Affiliations

  1. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco  & Benedetto Matarazzo  & 

  2. CNRS UMR 7606, DAPA, LIP6 8, Université Pierre et Marie Curie - Paris6, rue du Capitaine Scott, F-75015, Paris, France

    Bernadette Bouchon-Meunier

  3. Dip. Matematica e Informatica, Università di Perugia, 06123, Perugia, Italy

    Giulianella Coletti

  4. Department of Computer and Management Science, University of Trento, Via Inama 5, 38122, Trento, Italy

    Mario Fedrizzi

  5. Machine Intelligence Institute — IONA College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2012 Springer-Verlag Berlin Heidelberg

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Carlsson, C., Fullér, R., Mezei, J. (2012). On Mean Value and Variance of Interval-Valued Fuzzy Numbers. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31718-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-31718-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31717-0

  • Online ISBN: 978-3-642-31718-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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