Title
Relative importance of criteria in multiobjective programming: A cone-based approach
Abstract
This article develops a convex polyhedral cone-based preference modeling framework for decision making with multiple criteria which extends the classical notion of Pareto optimality and accounts for relative importance of the criteria. The decision maker’s perception of the relative importance is quantified by an allowable tradeoffs between two objectives representing the maximum allowable amount of decay of a less important objective per one unit of improvement of a more important objective. Two cone-based models of relative importance are developed. In the first model, one criterion is designated as less important while all the others are more important. In the second model, more than one criterion may be classified as less important while all the others are considered more important. Complete algebraic characterization of the models is derived and the relationship between them and the classical Pareto preference is examined. Their relevance to decision making is discussed.
Year
DOI
Venue
2010
10.1016/j.ejor.2010.06.008
European Journal of Operational Research
Keywords
Field
DocType
Multiple criteria,Decision making,Pareto preference,Relative importance,Tradeoffs,Polyhedral cones
Mathematical optimization,Mathematical economics,Multiple criteria,Algebraic number,Polyhedron,Decision support system,Multiobjective programming,Regular polygon,Pareto principle,Convex analysis,Mathematics
Journal
Volume
Issue
ISSN
207
2
0377-2217
Citations 
PageRank 
References 
5
0.50
6
Authors
3
Name
Order
Citations
PageRank
Brian J. Hunt150.50
Margaret M. Wiecek221322.90
Colleen S. Hughes350.50