On a correspondence between probabilistic and fuzzy choice functions
- Author
- Davide Martinetti, Susana Montes, Susana Díaz and Bernard De Baets (UGent)
- Organization
- Abstract
- Probabilistic and fuzzy choice functions are used to describe decision situations in which some degree of uncertainty or imprecision is involved. We propose a way to equate these two formalisms by means of residual implication operations. Furthermore, a set of new rationality conditions for probabilistic choice functions is proposed and proved to be sufficient to ensure that the associated fuzzy choice function is rational.
- Keywords
- Probabilistic choice, Fuzzy choice, Rationality conditions, Individual choice theory, Residual implication operation, STOCHASTIC REVEALED PREFERENCE, SOCIAL CHOICE, WEAK AXIOM, DEMAND, TRANSITIVITY, RATIONALITY, BEHAVIOR
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8579006
- MLA
- Martinetti, Davide, et al. “On a Correspondence between Probabilistic and Fuzzy Choice Functions.” FUZZY OPTIMIZATION AND DECISION MAKING, vol. 17, no. 3, 2018, pp. 247–64, doi:10.1007/s10700-017-9272-1.
- APA
- Martinetti, D., Montes, S., Díaz, S., & De Baets, B. (2018). On a correspondence between probabilistic and fuzzy choice functions. FUZZY OPTIMIZATION AND DECISION MAKING, 17(3), 247–264. https://doi.org/10.1007/s10700-017-9272-1
- Chicago author-date
- Martinetti, Davide, Susana Montes, Susana Díaz, and Bernard De Baets. 2018. “On a Correspondence between Probabilistic and Fuzzy Choice Functions.” FUZZY OPTIMIZATION AND DECISION MAKING 17 (3): 247–64. https://doi.org/10.1007/s10700-017-9272-1.
- Chicago author-date (all authors)
- Martinetti, Davide, Susana Montes, Susana Díaz, and Bernard De Baets. 2018. “On a Correspondence between Probabilistic and Fuzzy Choice Functions.” FUZZY OPTIMIZATION AND DECISION MAKING 17 (3): 247–264. doi:10.1007/s10700-017-9272-1.
- Vancouver
- 1.Martinetti D, Montes S, Díaz S, De Baets B. On a correspondence between probabilistic and fuzzy choice functions. FUZZY OPTIMIZATION AND DECISION MAKING. 2018;17(3):247–64.
- IEEE
- [1]D. Martinetti, S. Montes, S. Díaz, and B. De Baets, “On a correspondence between probabilistic and fuzzy choice functions,” FUZZY OPTIMIZATION AND DECISION MAKING, vol. 17, no. 3, pp. 247–264, 2018.
@article{8579006,
abstract = {{Probabilistic and fuzzy choice functions are used to describe decision situations in which some degree of uncertainty or imprecision is involved. We propose a way to equate these two formalisms by means of residual implication operations. Furthermore, a set of new rationality conditions for probabilistic choice functions is proposed and proved to be sufficient to ensure that the associated fuzzy choice function is rational.}},
author = {{Martinetti, Davide and Montes, Susana and Díaz, Susana and De Baets, Bernard}},
issn = {{1568-4539}},
journal = {{FUZZY OPTIMIZATION AND DECISION MAKING}},
keywords = {{Probabilistic choice,Fuzzy choice,Rationality conditions,Individual choice theory,Residual implication operation,STOCHASTIC REVEALED PREFERENCE,SOCIAL CHOICE,WEAK AXIOM,DEMAND,TRANSITIVITY,RATIONALITY,BEHAVIOR}},
language = {{eng}},
number = {{3}},
pages = {{247--264}},
title = {{On a correspondence between probabilistic and fuzzy choice functions}},
url = {{http://doi.org/10.1007/s10700-017-9272-1}},
volume = {{17}},
year = {{2018}},
}
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