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Fuzzy Preferences, Liberalism and Non-discrimination

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  • Dinko Dimitrov

Abstract

In the present article we consider a situation in which the individual and collective preferences are fuzzy or intuitionistic fuzzy and present some results in this framework. These results are connected with the analysis of the Liberal paradox of Sen (1970) and the requirement of non-discrimination introduced by Xu (2000). It is argued that the introduction of fuzziness allows possibility results to be proven and well known notions in the social choice theory to be enriched.

Suggested Citation

  • Dinko Dimitrov, 2001. "Fuzzy Preferences, Liberalism and Non-discrimination," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 2, pages 63-76.
  • Handle: RePEc:bas:econth:y:2001:i:2:p:63-76
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    References listed on IDEAS

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    1. Dutta, Bhaskan, 1987. "Fuzzy preferences and social choice," Mathematical Social Sciences, Elsevier, vol. 13(3), pages 215-229, June.
    2. Gregory Richardson, 1998. "The structure of fuzzy preferences: Social choice implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 359-369.
    3. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    4. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    5. Sen, Amartya K, 1976. "Liberty, Unanimity and Rights," Economica, London School of Economics and Political Science, vol. 43(171), pages 217-245, August.
    6. Rajat Deb & Manabendra Dasgupta, 1996. "Transitivity and fuzzy preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(3), pages 305-318.
    7. Sen, Amartya, 1992. "Minimal Liberty," Economica, London School of Economics and Political Science, vol. 59(234), pages 139-159, May.
    8. Dinko Dimitrov, 2001. "On fuzzy non-discrimination," Economics Bulletin, AccessEcon, vol. 4(3), pages 1-6.
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    More about this item

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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