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New Revealed Preference Indicators Of Fuzzy Choice Functions

Author

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  • IRINA GEORGESCU

    (Department of Economic Cybernetics, Academy of Economic Studies, Piaţa Romana Nr. 6-R 70167, Bucharest, Oficiul Postal 22, Romania)

Abstract

The axiomsWAFRP,SAFRP(resp.WFCA,SFCA) are fuzzy versions of the axioms of revealed preferenceWARP,SARP(resp. of the congruence axiomsWCA,SCA) of classic theory of revealed preference. The revealed preference indicatorsWAFRP(C),SAFRP(C),WFCA(C)andSFCA(C)of a fuzzy choice functionCwere introduced in a previous paper in order to express the degree to whichCverifies the axiomsWAFRP,SAFRP,WFCA,SFCA. In this paper, we shall define the new revealed preference indicatorsWAFRP°(C),HAFRP(C)corresponding to the axiomsWAFRP°,HAFRPfrom fuzzy revealed preference theory. We shall prove two main results: (1)WAFRP°(C) = WFCA(C); (2)HAFRP(C) = SFCA(C). They extend in terms of numerical indicators two known theorems of Hansson and Suzumura of classic theory of choice functions.

Suggested Citation

  • Irina Georgescu, 2012. "New Revealed Preference Indicators Of Fuzzy Choice Functions," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 239-256.
    • Handle: RePEc:wsi:nmncxx:v:08:y:2012:i:02:n:s1793005712400133
    DOI: 10.1142/S1793005712400133
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