Chapter Twenty - Social Choice with Fuzzy Preferences
In: Handbook of Social Choice and Welfare
AbstractFuzzy 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
This chapter was published in:
This item is provided by Elsevier in its series Handbook of Social Choice and Welfare with number 2-20.
Contact details of provider:
Web page: http://www.elsevier.com/wps/find/bookseriesdescription.cws_home/BS_HE/description
fuzzy sets; fuzzy preferences; aggregation theory; Arrow impossibility theorem; Sen impossibility theorem;
Find related papers by JEL classification:
- I0 - Health, Education, and Welfare - - General
You can help add them by filling out this form.
reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
If references are entirely missing, you can add them using this form.