Abstract
The concept of criterion redundancy in MCDM has been sparsely addressed by previous research in the field, albeit being of inevitable interest in any practical application. This paper presents a new conflict-based framework for redundancy that is argued better suited for interactive approaches than the definition proposed by Gal and Leberling (1977). Redundancy in the continuous case is defined similarly to the definition of mutual preferential independence in multi attribute utility theory, a connection that brings additional insights to the conceptual problem of criterion selection. Finally a simple test for the linear case is described, intended for initial screening of models.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Agrell, P. J. (1995) Interactive Multi-Criteria Dedsion Making in Production Economics, Production-Economic Research in Linköping (PROFIL 15), Linköping, Sweden.
Agrell, P. J. (1997) On Redundancy in MCDM. European Journal of Operational Research, 98(3), 571–586.
Amador F. and Romero C. (1989) Redundancy in Lexicographic Goal Programming: An Empirical Approach. European Journal of Operational Research, 41, 347–354.
Gal T. and Leberling H. (1977) Redundant Objective Functions in Linear Vector Maximum Problems and their Determination. European Jounal of Operational Research, 1(3), 176–184.
Grubbström R. W. (1988) linear Programming by Vertex Analysis – Preliminary Ideas. WP 150, Department of Production Economics, Linköping Institute of Technology
van Herwijnen M., Rietveld P., Thevenet K. and Tol R. (1994) Sensitivity Analysis with Interdependent Criteria for Multicriteria Decision Making: The Case of Soil Pollution Treatment.Journal of Multi-Criteria Analysis, 1(1), 57–70.
Ignizio, J. P. (1976) Goal Programming and Extensions. Lexington, New York.
Romero C. (1994) Redundancy in Lexicographic Goal Programming. European Journal of Operational Research, 78(3), 441–442.
Steuer R. E. (1974)ADBASE: An Adjacent Effiaent Basis Algorithm for Solving the Vector-Maximum and Interval Weighted Sums linear Programming Problems, (in FORTRAN) College of Business and Economics, University of Kentucky.
Steuer R. E. (1976) A Five Phase Procedure for Implementing A Vector-Maximum Algorithm for Multiple Objective Linear Programming Problems. In Multiple Criteria Dedsion Making, Thiriez H. and Zionts S. (Eds.), Springer, Berlin.
Changkong V. and Haimes Y. (1983) Multiobjective Dedsion Making: Theory and Methodology. North-Holland
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Agrell, P.J. (1998). A New Conflict-Based Redundancy Measure. In: Stewart, T.J., van den Honert, R.C. (eds) Trends in Multicriteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45772-2_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-45772-2_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64741-6
Online ISBN: 978-3-642-45772-2
eBook Packages: Springer Book Archive