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Certain Aspects of Decision Making Model: Intuitionistic Fuzzy Preference Relations

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Advances in Computational Intelligence (IPMU 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 298))

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Abstract

The goal of this paper is to consider preference property of intuitionistic fuzzy relations and preservation of a preference relation by some operations, composition and Atanassov’s operators like F α, β , P α, β , Q α, β , where α, β ∈ [0,1] are studied. Moreover, transitivity property is considered. We study assumptions under which composition and powers or some Atanassov’s operators of intuitionistic fuzzy relations fulfil transitivity property. In all these cases, if possible, characterizations of adequate conditions are given.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Rzeszów, Rejtana 16a, 35-310, Rzeszów, Poland

    Barbara Pękala

Authors
  1. Barbara Pękala
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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. Université Pierre et Marie Curie - Paris6, CNRS UMR 7606, DAPA, LIP6 8, 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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Pękala, B. (2012). Certain Aspects of Decision Making Model: Intuitionistic Fuzzy Preference Relations. 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 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_51

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  • DOI: https://doi.org/10.1007/978-3-642-31715-6_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31714-9

  • Online ISBN: 978-3-642-31715-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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