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A General Form of Fuzzy Group Decision Making Choice Functions under Fuzzy Preference Relations and Fuzzy Majority

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Fuzzy Applications in Industrial Engineering

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 201))

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Abstract

A general form of a collective choice rule in group decision making under fuzzy preferences and a fuzzy majority is proposed. It encompasses some well-known choice rules. Our point of departure is the fuzzy majority based linguistic aggregation rule (solution concept) proposed by Kacprzyk [11–13]. This rule is viewed here from a more general perspective, and the fuzzy majority – meant as a fuzzy linguistic quantifier – is dealt with by using Yager’s [42] OWA operators. The particular collective choice rules derived via the general scheme proposed are shown to be applicable in the case of nonfuzzy preferences too. Moreover, a relation to Zadeh’s concept of a protoform is mentioned in this context.

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Author information

Authors and Affiliations

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

    Janusz Kacprzyk & Sławomir Zadrożny

Authors
  1. Janusz Kacprzyk
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  2. Sławomir Zadrożny
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Editors and Affiliations

  1. Industrial Department of Engineering Faculty Management, Istanbul Technical University, Campus Macka, Istanbul, 80680, Turkey

    Cengiz Kahraman Dr.

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Kacprzyk, J., Zadrożny, S. (2006). A General Form of Fuzzy Group Decision Making Choice Functions under Fuzzy Preference Relations and Fuzzy Majority. In: Kahraman, C. (eds) Fuzzy Applications in Industrial Engineering. Studies in Fuzziness and Soft Computing, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33517-X_12

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  • DOI: https://doi.org/10.1007/3-540-33517-X_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33516-0

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