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Intuitionistic Fuzzy Preference Relations and Hypergroups

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Multicriteria and Multiagent Decision Making with Applications to Economics and Social Sciences

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 305))

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Abstract

In this paper we present a connection between intuitionistic fuzzy relations and hypergroups. In particular, we construct a hypergroup associated with a binary relation naturally induced by an intuitionistic fuzzy relation. We present some of its properties, investigating when it is a join space or a reduced hypergroup, in the framework of the intuitionistic fuzzy preference relations.

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Authors and Affiliations

  1. Centre for Systems and Information Technologies, University of Nova Gorica, SI-5000, Vipavska 13, Nova Gorica, Slovenia

    Irina Cristea

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  1. Irina Cristea
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Correspondence to Irina Cristea .

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Editors and Affiliations

  1. , Department of Architecture, Second University of Napoli, Via San Lorenzo s/n, Aversa, 81031, Italy

    Aldo G. S. Ventre

  2. “G. d’Annunzio", Department of Letters, Arts and, University of Chieti-Pescara, Via dei Vestini 31, Chieti, 66100, Italy

    Antonio Maturo

  3. Faculty of Military Technology, Department of Mathematics and Physics, University of Defence, Kounicova 65, Brno, 66210, Czech Republic

    Šárka Hošková-Mayerová

  4. , Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, Warsaw, 01-447, Poland

    Janusz Kacprzyk

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Cristea, I. (2013). Intuitionistic Fuzzy Preference Relations and Hypergroups. In: Ventre, A., Maturo, A., Hošková-Mayerová, Š., Kacprzyk, J. (eds) Multicriteria and Multiagent Decision Making with Applications to Economics and Social Sciences. Studies in Fuzziness and Soft Computing, vol 305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35635-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-35635-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35634-6

  • Online ISBN: 978-3-642-35635-3

  • eBook Packages: EngineeringEngineering (R0)

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