Ordenaciones de conjuntos de alternativas considerando similitudes: una panorámica
DOI:
https://doi.org/10.24310/recta.23.2.2022.19878Keywords:
Similitudes entre alternativas, diversidad de alternativas, utilidad cardinal, ordenaci´on de conjuntos de oportunidadesAbstract
This article offers a common perspective for different alternative set ordering proposals. Starting from an agent that has defined a preference relation and a similarity relation over the individual alternatives, an ordering over sets of alternatives that can be very large must be established. For this, the similarities between the alternatives that belong to each of these sets will be taken into account, with this premise several management options have been proposed in independent studies. They are presented here under a common framework.
Downloads
Publication Facts
Reviewer profiles N/A
Author statements
Indexed in
-
—
- Academic society
- N/A
- Publisher
- UMA Editorial. Universidad de Málaga
References
Aizpurua, J.M., Nieto, J., Uriarte, J.R. (1990). Choice procedure consistent with similarity relations. Theory and Decision, 29(3): 235-253.
https://doi.org/10.1007/BF00126804
Arlegi, R., García-Lapresta, J.L., Meneses, L.C. (2007). Libertad de elección: algunos enfoques axioma'ticos. Revista Electrónica de Comunicaciones y Trabajos de ASEPUMA Actas, 15(1).
Binder,C.(2014). Preference and similarity between alternatives. Rationality, Markets and Morals Journal, 5: 120-132.
Bossert, W., Pattanaik, P.K., Xu, Y. (1994). Ranking opportunity sets: an axiomatic approach. Journal of Economic Theory, 63: 326-345.
https://doi.org/10.1006/jeth.1994.1045
Bossert, W., Pattanaik, P.K., Xu, Y. (2000). Choice under complete uncertainty: axiomatic characterization of some decision rules. Economic Theory, 16: 295-312.
https://doi.org/10.1007/PL00004080
Mesiar, R. (2007). Fuzzy set approach to the utility, preference relations, and aggregation operators. European Journal of Operational Research, 176: 414-422.
https://doi.org/10.1016/j.ejor.2005.07.016
Nehring, K., Puppe, C. (2002). A theory od diversity Econometrica, 70(3): 1155-1198.
https://doi.org/10.1111/1468-0262.00321
Pattanaik, P.K., Peleg, B. (1984). An axiomatic characterization of the lexicographic maximin extension of an ordering over a set to the power set. Social Choice and Welfare, 1: 113-122.
https://doi.org/10.1007/BF00452883
Pattanaik, P.K., Xu, Y. (2000). On diversity and freedom of choice. Mathematical Social Sciences, 40(2): 123-130.
https://doi.org/10.1016/S0165-4896(99)00043-8
Rubinstein, A.(1988). Similarity and decision-making under risk (Is there a utility theory resolution to the Allais paradox?). Journal of Economic Theory, 46: 145-153.
https://doi.org/10.1016/0022-0531(88)90154-8
Vázquez, C. (2014). Ranking opportunity sets on the basis of similarities of preferences: a proposal. Mathematical Social Sciences, 67: 23-26.
https://doi.org/10.1016/j.mathsocsci.2013.11.001
Vázquez, C. (2020). Ranking opportunity sets taking into account similarity relations induced by moneymetric utility functions, in Mathematical Topics on Representations of ordered structures and utility theory. (Springer ed. ) 313-324.
https://doi.org/10.1007/978-3-030-34226-5_17
Vázquez, C. (2022). Lexicographic criteria for ranking opportunity sets with similarities. Mathematical Social Sciences, 117: 1-5.
Downloads
Published
How to Cite
Issue
Section
License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.