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Theory and Applications of Non-additive Measures and Corresponding Integrals

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Modeling Decisions for Artificial Intelligence (MDAI 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8234))

Abstract

It is given an short overview of some recent results in the theory of non-additive measures and corresponding integrals. It is presented the universal integral, which include among others, Lebesgue, Choquet, Sugeno, pseudo–additive, Shilkret integrals. Related pseudo-integral a generalization of L p space is introduced. Many useful applications illustrate the power of non-additive measures and corresponding integrals.

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Author information

Authors and Affiliations

  1. University of Novi Sad, 21000, Novi Sad, Serbia

    Endre Pap

  2. Óbuda University, H-1034, Budapest, Hungary

    Endre Pap

  3. Singidunum University, 11000, Belgrade, Serbia

    Endre Pap

Authors
  1. Endre Pap
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Editor information

Editors and Affiliations

  1. IIIA-CSIC, Campüus UAB s/n, 08193, Bellaterra, Catalonia, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10, Naka, 186-0004, Kunitachi, Tokyo, Japan

    Yasuo Narukawa

  3. Departament d’Enginyeria de la Informació i de les Comunicacions, Universitat Autonoma de Barcelona, 08193, Bellaterra, Catalonia, Spain

    Guillermo Navarro-Arribas

  4. Internet Interdisciplinary Institute (IN3); Estudis d’Informàtica, Multimèdia i Telecomunicació, Universitat Oberta de Catalunya, Rambla del Poblenou, 156, 08018, Barcelona, Catalonia, Spain

    David Megías

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Pap, E. (2013). Theory and Applications of Non-additive Measures and Corresponding Integrals. In: Torra, V., Narukawa, Y., Navarro-Arribas, G., Megías, D. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2013. Lecture Notes in Computer Science(), vol 8234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41550-0_1

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  • DOI: https://doi.org/10.1007/978-3-642-41550-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41549-4

  • Online ISBN: 978-3-642-41550-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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