Advanced search
1 file | 316.18 KB Add to list

Uncertain choices: a comparison of fuzzy and probabilistic approaches

Author
Organization
Abstract
Choices among alternatives in a set can be expressed in three different ways: by means of choice functions, by means of preference relations or using choice probabilities. The connection between the two first formalizations has been widely studied in the literature, both in the crisp or classical context and in the setting of fuzzy relations. However, the connection between probabilistic choice functions and fuzzy choice functions seems to have been forgotten and as far as we know, no literature can be found about it. In this contribution we focus on the comparison of both types of choice functions. We provide a way to obtain the fuzzy choice function from the probabilistic choice function and the other way around. Moreover, we can prove that under Luce's Choice Axiom the fuzzy choice function derived from the probabilistic choice function is G-normal.
Keywords
RATIONAL CHOICE, REVEALED PREFERENCE

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 316.18 KB

Citation

Please use this url to cite or link to this publication:

MLA
Martinetti, Davide, Susana Montes, Susana Díaz, et al. “Uncertain Choices: a Comparison of Fuzzy and Probabilistic Approaches.” Advances in Intelligent Systems and Computing. Ed. Humberto Bustince et al. Vol. 228. Berlin, Germany: Springer, 2013. 271–279. Print.
APA
Martinetti, D., Montes, S., Díaz, S., & De Baets, B. (2013). Uncertain choices: a comparison of fuzzy and probabilistic approaches. In Humberto Bustince, J. Fernandez, R. Mesiar, & T. Calco (Eds.), Advances in Intelligent Systems and Computing (Vol. 228, pp. 271–279). Presented at the 7th International summer school on Aggregation Operators (AGOP 2013), Berlin, Germany: Springer.
Chicago author-date
Martinetti, Davide, Susana Montes, Susana Díaz, and Bernard De Baets. 2013. “Uncertain Choices: a Comparison of Fuzzy and Probabilistic Approaches.” In Advances in Intelligent Systems and Computing, ed. Humberto Bustince, Javier Fernandez, Radko Mesiar, and Tomasa Calco, 228:271–279. Berlin, Germany: Springer.
Chicago author-date (all authors)
Martinetti, Davide, Susana Montes, Susana Díaz, and Bernard De Baets. 2013. “Uncertain Choices: a Comparison of Fuzzy and Probabilistic Approaches.” In Advances in Intelligent Systems and Computing, ed. Humberto Bustince, Javier Fernandez, Radko Mesiar, and Tomasa Calco, 228:271–279. Berlin, Germany: Springer.
Vancouver
1.
Martinetti D, Montes S, Díaz S, De Baets B. Uncertain choices: a comparison of fuzzy and probabilistic approaches. In: Bustince H, Fernandez J, Mesiar R, Calco T, editors. Advances in Intelligent Systems and Computing. Berlin, Germany: Springer; 2013. p. 271–9.
IEEE
[1]
D. Martinetti, S. Montes, S. Díaz, and B. De Baets, “Uncertain choices: a comparison of fuzzy and probabilistic approaches,” in Advances in Intelligent Systems and Computing, Pamplona, Spain, 2013, vol. 228, pp. 271–279.
@inproceedings{4413403,
  abstract     = {{Choices among alternatives in a set can be expressed in three different ways: by means of choice functions, by means of preference relations or using choice probabilities. The connection between the two first formalizations has been widely studied in the literature, both in the crisp or classical context and in the setting of fuzzy relations. However, the connection between probabilistic choice functions and fuzzy choice functions seems to have been forgotten and as far as we know, no literature can be found about it.
In this contribution we focus on the comparison of both types of choice functions. We provide a way to obtain the fuzzy choice function from the probabilistic choice function and the other way around. Moreover, we can prove that under Luce's Choice Axiom the fuzzy choice function derived from the probabilistic choice function is G-normal.}},
  author       = {{Martinetti, Davide and Montes, Susana and Díaz, Susana and De Baets, Bernard}},
  booktitle    = {{Advances in Intelligent Systems and Computing}},
  editor       = {{Bustince, Humberto and Fernandez, Javier and Mesiar, Radko and Calco, Tomasa}},
  isbn         = {{9783642391651}},
  issn         = {{2194-5357}},
  keywords     = {{RATIONAL CHOICE,REVEALED PREFERENCE}},
  language     = {{eng}},
  location     = {{Pamplona, Spain}},
  pages        = {{271--279}},
  publisher    = {{Springer}},
  title        = {{Uncertain choices: a comparison of fuzzy and probabilistic approaches}},
  url          = {{http://dx.doi.org/10.1007/978-3-642-39165-1_28}},
  volume       = {{228}},
  year         = {{2013}},
}

Altmetric
View in Altmetric
Web of Science
Times cited: