Bridging probabilistic and fuzzy approaches to choice under uncertainty
(2013)
Advances in Intelligent Systems Research.
In Advances in Intelligent Systems Research
32.
p.856-861
- Author
- Davide Martinetti, Susana Díaz, Susana Montes and Bernard De Baets (UGent)
- Organization
- Abstract
- Imprecise choices can be described using either a probabilistic or a fuzzy formalism. No relation between them has been studied so far. In this contribution we present a connection between the two formalisms that strongly makes use of fuzzy implication operators and t-norms. In this framework, Luce's Choice Axiom turns out to be a special case when the product t-norm is considered and other similar choice axioms can be stated, according to the t-norm in use. Also a new family of operators for transforming bipolar relations into unipolar ones is presented.
- Keywords
- Fuzzy choice function, probabilistic choice function, fuzzy implication operator, fuzzy revealed preference, reciprocal relation, bipolar/unipolar scale, RATIONAL CHOICE, REVEALED PREFERENCE
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-4413393
- MLA
- Martinetti, Davide, et al. “Bridging Probabilistic and Fuzzy Approaches to Choice under Uncertainty.” Advances in Intelligent Systems Research, edited by G Pasi et al., vol. 32, Atlantis Press, 2013, pp. 856–61.
- APA
- Martinetti, D., Díaz, S., Montes, S., & De Baets, B. (2013). Bridging probabilistic and fuzzy approaches to choice under uncertainty. In G. Pasi, J. Montero, & D. Ciucci (Eds.), Advances in Intelligent Systems Research (Vol. 32, pp. 856–861). Paris, France: Atlantis Press.
- Chicago author-date
- Martinetti, Davide, Susana Díaz, Susana Montes, and Bernard De Baets. 2013. “Bridging Probabilistic and Fuzzy Approaches to Choice under Uncertainty.” In Advances in Intelligent Systems Research, edited by G Pasi, J Montero, and D Ciucci, 32:856–61. Paris, France: Atlantis Press.
- Chicago author-date (all authors)
- Martinetti, Davide, Susana Díaz, Susana Montes, and Bernard De Baets. 2013. “Bridging Probabilistic and Fuzzy Approaches to Choice under Uncertainty.” In Advances in Intelligent Systems Research, ed by. G Pasi, J Montero, and D Ciucci, 32:856–861. Paris, France: Atlantis Press.
- Vancouver
- 1.Martinetti D, Díaz S, Montes S, De Baets B. Bridging probabilistic and fuzzy approaches to choice under uncertainty. In: Pasi G, Montero J, Ciucci D, editors. Advances in Intelligent Systems Research. Paris, France: Atlantis Press; 2013. p. 856–61.
- IEEE
- [1]D. Martinetti, S. Díaz, S. Montes, and B. De Baets, “Bridging probabilistic and fuzzy approaches to choice under uncertainty,” in Advances in Intelligent Systems Research, Milan, Italy, 2013, vol. 32, pp. 856–861.
@inproceedings{4413393,
abstract = {{Imprecise choices can be described using either a probabilistic or a fuzzy formalism. No relation between them has been studied so far. In this contribution we present a connection between the two formalisms that strongly makes use of fuzzy implication operators and t-norms. In this framework, Luce's Choice Axiom turns out to be a special case when the product t-norm is considered and other similar choice axioms can be stated, according to the t-norm in use. Also a new family of operators for transforming bipolar relations into unipolar ones is presented.}},
author = {{Martinetti, Davide and Díaz, Susana and Montes, Susana and De Baets, Bernard}},
booktitle = {{Advances in Intelligent Systems Research}},
editor = {{Pasi, G and Montero, J and Ciucci, D}},
isbn = {{9789078677789}},
issn = {{1951-6851}},
keywords = {{Fuzzy choice function,probabilistic choice function,fuzzy implication operator,fuzzy revealed preference,reciprocal relation,bipolar/unipolar scale,RATIONAL CHOICE,REVEALED PREFERENCE}},
language = {{eng}},
location = {{Milan, Italy}},
pages = {{856--861}},
publisher = {{Atlantis Press}},
title = {{Bridging probabilistic and fuzzy approaches to choice under uncertainty}},
volume = {{32}},
year = {{2013}},
}