The lexicographic decision function

In this paper the lexicographic decision process is presented in a unified way. We construct a lexicographic decision function using a universal preference function and a unary function. This construction incorporates the different outranking approaches, the lexicographic decision process and the utility based decision making models. Finally we consider the connection of the lexicographic decision method and the Arrow paradox.

[1]  P. Fishburn Axioms for Lexicographic Preferences , 1975 .

[2]  Philippe Fortemps,et al.  Conjoint axiomatization of Min, DiscriMin and LexiMin , 2004, Fuzzy Sets Syst..

[3]  R. Duncan Luce,et al.  Lexicographic tradeoff structures , 1978 .

[4]  Ching-Lai Hwang,et al.  Group decision making under multiple criteria , 1987 .

[5]  Toby Walsh,et al.  Global Constraints for Lexicographic Orderings , 2002, CP.

[6]  Thierry Marchant,et al.  Towards a theory of MCDM: stepping away from social choice theory , 2003, Math. Soc. Sci..

[7]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[8]  K. May Intransitivity, Utility, and the Aggregation of Preference Patterns , 1954 .

[9]  Denis Bouyssou,et al.  Some remarks on the notion of compensation in MCDM , 1986 .

[10]  J. Dombi,et al.  Universal characterization of non-transitive preferences , 1994 .

[11]  József Dombi,et al.  A GENERAL FRAMEWORK FOR THE UTILITY-BASED AND OUTRANKING METHODS , 1995 .

[12]  F. A. Behringer,et al.  Lexmaxmin in fuzzy multiobjective decision-making , 1990 .

[13]  Peter C. Fishburn,et al.  LEXICOGRAPHIC ORDERS, UTILITIES AND DECISION RULES: A SURVEY , 1974 .

[14]  Charles R. Plott,et al.  Individual Choice when Objects have "Ordinal" Properties , 1975 .

[15]  David L. Olson,et al.  Decision Aids for Selection Problems , 1995 .

[16]  Peter C. Fishburn,et al.  Noncompensatory preferences , 2004, Synthese.

[17]  Peter C. Fishburn,et al.  Lexicographic additive differences , 1980 .