Comparison meaningful operators and ordinal invariant preferences

This work has been partially supported by the research projects ECO2012-34828, MTM2012-37894-C02-02 and TIN2013-40765-P (Spain).

[1]  A. Tversky,et al.  Foundations of Measurement, Vol. III: Representation, Axiomatization, and Invariance , 1990 .

[2]  Homothetic and translatable preferences: Utility representation and functional equations involved , 2013 .

[3]  Juan Carlos Candeal,et al.  Continuous representability of homothetic preferences by means of homogeneous utility functions , 2000 .

[4]  Sergei Ovchinnikov,et al.  On order invariant aggregation functionals , 2002 .

[5]  D. Bridges,et al.  Representations of Preferences Orderings , 1995 .

[6]  Jean-Luc Marichal,et al.  On Order Invariant Synthesizing Functions , 2002 .

[7]  A. Sen,et al.  Collective Choice and Social Welfare , 2017 .

[8]  W. Bossert,et al.  Utility in Social Choice , 2004 .

[9]  Juan Carlos Candeal,et al.  Social evaluation functionals: a gateway to continuity in social choice , 2015, Soc. Choice Welf..

[10]  Radko Mesiar,et al.  Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art , 2009, 0903.2434.

[11]  Christopher P. Chambers Ordinal aggregation and quantiles , 2007, J. Econ. Theory.

[12]  K. Arrow,et al.  Social Choice and Individual Values , 1951 .

[13]  Sergei Ovchinnikov,et al.  Invariant Functions on Simple Orders , 1997 .

[14]  G. Debreu ON THE CONTINUITY PROPERTIES OF PARETIAN UTILITY , 1963 .

[15]  S. Ovchinnikov Means on ordered sets , 1996 .

[16]  C. d'Aspremont,et al.  Social welfare functionals and interpersonal comparability , 2002 .

[17]  R. Mesiar,et al.  Aggregation Functions (Encyclopedia of Mathematics and its Applications) , 2009 .

[18]  S. Ovchinnikov,et al.  Integral Representation of Invariant Functionals , 2000 .

[19]  A. Tversky,et al.  Foundations of Measurement, Vol. I: Additive and Polynomial Representations , 1991 .

[20]  L. A. Goodman,et al.  Social Choice and Individual Values , 1951 .

[21]  David M. Kreps Notes On The Theory Of Choice , 1988 .

[22]  G. Debreu Mathematical Economics: Continuity properties of Paretian utility , 1964 .

[23]  Jean-Luc Marichal,et al.  On Comparison Meaningfulness of Aggregation Functions. , 2001, Journal of mathematical psychology.