Abstract
The approach described in this paper can be applied to support multicriteria choice and ranking of actions when the input preferential information acquired from the decision maker is a graded pairwise comparison (or ranking) of reference actions. It is based on decision-rule preference model induced from a rough approximation of the graded comprehensive preference relation among the reference actions. The set of decision rules applied to a new set of actions provides a fuzzy preference graph, which can be exploited by an extended fuzzy net flow score, to build a final ranking.
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
Bouyssou, D.: Ranking methods based on valued preference relations: a characterization of the net-flow method. European Journal of Operational Research 60(1), 61–68 (1992)
Dubois, D., Ostasiewicz, W., Prade, H.: Fuzzy sets: history and basic notions. In: Dubois, D., Prade, H. (eds.) Fundamentals of Fuzzy Sets, pp. 121–124. Kluwer Academic Publishers, Boston (2000)
Greco S., Matarazzo, B., Slowinski, R.: Rough approximation of a preference relation by dominance relations, ICS Research Report 16/96, Warsaw University of Technology, Warsaw, (1996); European Journal of Operational Research 117, 63-83 (1999)
Greco, S., Matarazzo, B., Slowinski, R., Tsoukias, A.: Exploitation of a rough approximation of the outranking relation in multicriteria choice and ranking. In: Stewart, T.J., van den Honert, R.C. (eds.) Trends in Multicriteria Decision Making. LNEMS, vol. 465, pp. 45–60. Springer, Berlin (1998)
Greco, S., Matarazzo, B., Slowinski, R.: The use of rough sets and fuzzy sets in MCDM. In: Gal, T., Stewart, T., Hanne, T. (eds.) Advances in Multiple Criteria Decision Making. ch. 14, pp. 14.1-14.59. Kluwer Academic Publishers, Dordrecht (1999)
Greco, S., Matarazzo, B., Slowinski, R.: Extension of the rough set approach to multicriteria decision support. INFOR 38(3), 161–196 (2000)
Greco, S., Matarazzo, B., Slowinski, R.: Conjoint measurement and rough set approach for multicriteria sorting problems in presence of ordinal criteria. In: Colorni, A., Paruccini, M., Roy, B. (eds.) A-MCD-A: Aide Multi Critère à la Décision. Multiple Criteria Decision Aiding, European Commission Report EUR 19808 EN, Joint Research Centre, Ispra, pp. 117–144 (2001)
Greco, S., Matarazzo, B., Slowinski, R.: Rough sets theory for multicriteria decision analysis. European J. of Operational Research 129(1), 1–47 (2001)
Greco, S., Matarazzo, B., Slowinski, R.: Rule-based decision support in multicriteria choice and ranking. In: Benferhat, S., Besnard, P. (eds.) ECSQARU 2001. LNCS (LNAI), vol. 2143, pp. 29–47. Springer, Heidelberg (2001)
Greco, S., Matarazzo, B., Slowinski, R.: Preference representation by means of conjoint measurement and decision rule model. In: Bouyssou, D., Jacquet-Lagreze, E., Perny, P., Slowinski, R., Vanderpooten, D., Vincke, P. (eds.) Aiding Decisions with Multiple Criteria-Essays in Honor of Bernard Roy, pp. 263–313. Kluwer, Boston (2002)
Greco, S., Matarazzo, B., Slowinski, R.: Multicriteria classification. In: Kloesgen, W., Zytkow, J. (eds.) Handbook of Data Mining and Knowledge Discovery. ch. 16.1.9, pp. 318–328. Oxford University Press, New York (2002)
Greco, S., Matarazzo, B., Slowinski, R., Stefanowski, J.: Variable consistency model of dominance-based rough set approach. In: Ziarko, W.P., Yao, Y. (eds.) RSCTC 2000. LNCS (LNAI), vol. 2005, pp. 170–181. Springer, Heidelberg (2001)
Greco, S., Matarazzo, B., Slowinski, R., Stefanowski, J.: An algorithm for induction of decision rules consistent with dominance principle. In: Ziarko, W.P., Yao, Y. (eds.) RSCTC 2000. LNCS (LNAI), vol. 2005, pp. 304–313. Springer, Heidelberg (2001)
Pawlak, Z.: Rough sets. Int. J. of Information & Computer Sciences 11, 341–356 (1982)
Slowinski, R., Stefanowski, J., Greco, S., Matarazzo, B.: Rough sets based processing of inconsistent information in decision analysis. Control and Cybernetics 29(1), 379–404 (2000)
Slowinski, R., Greco, S., Matarazzo, B.: Mining decision-rule preference model from rough approximation of preference relation. In: Proc. 26th IEEE Annual Int. Conference on Computer Software & Applications (COMPSAC 2002), Oxford, England, pp. 1129–1134 (2002)
Stefanowski, J.: On rough set based approaches to induction of decision rules. In: Skowron, A., Polkowski, L. (eds.) Rough Sets in Data Mining and Knowledge Discovery, vol. 1, pp. 500–529. Physica-Verlag, Heidelberg (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fortemps, P., Greco, S., Słowiński, R. (2004). Multicriteria Choice and Ranking Using Decision Rules Induced from Rough Approximation of Graded Preference Relations. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W. (eds) Rough Sets and Current Trends in Computing. RSCTC 2004. Lecture Notes in Computer Science(), vol 3066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25929-9_62
Download citation
DOI: https://doi.org/10.1007/978-3-540-25929-9_62
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22117-3
Online ISBN: 978-3-540-25929-9
eBook Packages: Springer Book Archive