IDEAS home Printed from
   My bibliography  Save this book chapter

Chapter Twenty - Social Choice with Fuzzy Preferences

In: Handbook of Social Choice and Welfare


  • Richard, Barrett
  • Maurice, Salles


Fuzzy set theory has been explicitly introduced to deal with vagueness and ambiguity. One can also use probability theory or techniques borrowed from philosophical logic. In this chapter, we consider fuzzy preferences and we survey the literature on aggregation of fuzzy preferences. We restrict ourselves to “pure aggregation” theory and, accordingly, do not cover strategic aspects of social choice. We present Arrovian aggregation problems in a rather standard framework as well as in a very specific economic environment. We also consider a fuzzy treatment of Sen's impossibility of a Paretian liberal. We distinguish two types of fuzziness: quantitative fuzziness, defined via real numbers, and qualitative fuzziness, defined via linguistic data with a suitable order structure. We outline the thin frontier between impossibility and possibility results.

Suggested Citation

  • Richard, Barrett & Maurice, Salles, 2011. "Chapter Twenty - Social Choice with Fuzzy Preferences," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 20, pages 367-389, Elsevier.
  • Handle: RePEc:eee:socchp:2-20

    Download full text from publisher

    File URL:
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item


    fuzzy sets; fuzzy preferences; aggregation theory; Arrow impossibility theorem; Sen impossibility theorem;
    All these keywords.

    JEL classification:

    • I0 - Health, Education, and Welfare - - General


    Access and download statistics


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:socchp:2-20. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.