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How to score alternatives when criteria are scored on an ordinal scale
Author(s) -
Grabisch Michel
Publication year - 2008
Publication title -
journal of multi‐criteria decision analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.462
H-Index - 47
eISSN - 1099-1360
pISSN - 1057-9214
DOI - 10.1002/mcda.422
Subject(s) - ordinal scale , ordinal data , preference , scale (ratio) , ordinal optimization , representation (politics) , operator (biology) , order (exchange) , decision maker , computer science , mathematical economics , ordinal regression , mathematics , econometrics , artificial intelligence , operations research , statistics , economics , geography , political science , law , biochemistry , chemistry , cartography , finance , repressor , politics , transcription factor , gene
Abstract We address in this paper the problem of scoring alternatives when they are evaluated with respect to several criteria on a finite ordinal scale E . We show that in general, the ordinal scale E has to be refined or shrunk in order to be able to represent the preference of the decision maker by an aggregation operator belonging to the family of mean operators. This paper recalls previous theoretical results of the author giving necessary and sufficient conditions for a representation of preferences, and then focuses on describing practical algorithms and examples. Copyright © 2008 John Wiley & Sons, Ltd.