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On Arrow-Sen style equivalences between rationality conditions for fuzzy choice functions

Davide Martinetti, Susana Montes, Susana Díaz and Bernard De Baets (UGent)
(2014) FUZZY OPTIMIZATION AND DECISION MAKING. 13(4). p.369-396
Author
Organization
Abstract
The Arrow-Sen Theorem establishes the equivalence between different rationality conditions for a choice function. In this contribution we deal with fuzzy versions of these rationality conditions and we study the connection between them. We recall results found in the literature and we prove that they are valid under weaker conditions. We also present new implications and counterexamples that show that our results cannot be obtained under weaker conditions.
Keywords
REVEALED PREFERENCE, T-NORMS, Arrow-Sen Theorem, Revealed preference, Fuzzy choice function, Rationality

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MLA
Martinetti, Davide, et al. “On Arrow-Sen Style Equivalences between Rationality Conditions for Fuzzy Choice Functions.” FUZZY OPTIMIZATION AND DECISION MAKING, vol. 13, no. 4, 2014, pp. 369–96, doi:10.1007/s10700-014-9187-z.
APA
Martinetti, D., Montes, S., Díaz, S., & De Baets, B. (2014). On Arrow-Sen style equivalences between rationality conditions for fuzzy choice functions. FUZZY OPTIMIZATION AND DECISION MAKING, 13(4), 369–396. https://doi.org/10.1007/s10700-014-9187-z
Chicago author-date
Martinetti, Davide, Susana Montes, Susana Díaz, and Bernard De Baets. 2014. “On Arrow-Sen Style Equivalences between Rationality Conditions for Fuzzy Choice Functions.” FUZZY OPTIMIZATION AND DECISION MAKING 13 (4): 369–96. https://doi.org/10.1007/s10700-014-9187-z.
Chicago author-date (all authors)
Martinetti, Davide, Susana Montes, Susana Díaz, and Bernard De Baets. 2014. “On Arrow-Sen Style Equivalences between Rationality Conditions for Fuzzy Choice Functions.” FUZZY OPTIMIZATION AND DECISION MAKING 13 (4): 369–396. doi:10.1007/s10700-014-9187-z.
Vancouver
1.
Martinetti D, Montes S, Díaz S, De Baets B. On Arrow-Sen style equivalences between rationality conditions for fuzzy choice functions. FUZZY OPTIMIZATION AND DECISION MAKING. 2014;13(4):369–96.
IEEE
[1]
D. Martinetti, S. Montes, S. Díaz, and B. De Baets, “On Arrow-Sen style equivalences between rationality conditions for fuzzy choice functions,” FUZZY OPTIMIZATION AND DECISION MAKING, vol. 13, no. 4, pp. 369–396, 2014.
@article{5796641,
  abstract     = {{The Arrow-Sen Theorem establishes the equivalence between different rationality conditions for a choice function. In this contribution we deal with fuzzy versions of these rationality conditions and we study the connection between them. We recall results found in the literature and we prove that they are valid under weaker conditions. We also present new implications and counterexamples that show that our results cannot be obtained under weaker conditions.}},
  author       = {{Martinetti, Davide and Montes, Susana and Díaz, Susana and De Baets, Bernard}},
  issn         = {{1568-4539}},
  journal      = {{FUZZY OPTIMIZATION AND DECISION MAKING}},
  keywords     = {{REVEALED PREFERENCE,T-NORMS,Arrow-Sen Theorem,Revealed preference,Fuzzy choice function,Rationality}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{369--396}},
  title        = {{On Arrow-Sen style equivalences between rationality conditions for fuzzy choice functions}},
  url          = {{http://doi.org/10.1007/s10700-014-9187-z}},
  volume       = {{13}},
  year         = {{2014}},
}
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