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Preference Structure Modelling for Multi‐objective Decision Making: A Goal–Programming Approach
Author(s) -
DIABY MOUSTAPHA,
MARTEL JEANMARC
Publication year - 1997
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/(sici)1099-1360(199705)6:3<150::aid-mcda141>3.0.co;2-8
Subject(s) - preference , goal programming , computer science , decision maker , scheme (mathematics) , mathematical optimization , piecewise , linear programming , piecewise linear function , artificial intelligence , machine learning , mathematics , operations research , algorithm , mathematical analysis , geometry , statistics
We propose a new approach for modelling preference structures in multi‐objective decision‐making (MODM) problems. The basic idea of the approach is to first develop PROMETHEE‐influenced objective functions and then to use these to reformulate the problem as a distance‐based goal–programming (GP) model. Three basic functional forms are proposed and explicit expressions are developed for them. Among other things, the expressions allow for the straightforward development of an interactive framework while keeping the information requirements from the decision maker (DM) at a minimum. An ‘automatic’ piecewise linear approximation scheme is proposed for solving the GP model. © 1997 by John Wiley & Sons, Ltd. J. Multi‐Crit. Decis. Anal. 6 : 150–154 (1997) No. of Figures: 0. No. of Tables: 0. No. of References: 12.