Rough approximation of a preference relation by a multi-attribute stochastic dominance for a reduced number of attributes

• Autorzy: Kazimierz Zaraś
• Języki publikacji: EN

Abstrakty

EN

The final result of the application of rough sets to decision analysis is a set of rules "if ... then". Let the multi-attribute decision problem be uncertain, and the Rough Sets approach be applied to solve this kind of problem. The set of rules will be deduced from a set of Multi-Attribute Stochastic Dominances for a reduced number of attributes (MSDr ), and from individual preferences given by a Decision Maker (DM) .The problem is which collection of attributes should be used to build the MSDr .The Rough Sets approach deals with this problem by looking for the reduced set of attributes which provides the same quality of approximation as the original set of attributes. This paper attempts to show that this way of modelling can be matched by the Multi-Attribute Stochastic Dominance approach.(fragment of text)

Słowa kluczowe

EN

Stochastic dominance; Decision proces

PL

Dominacja stochastyczna; Proces decyzyjny

• Czasopismo: Prace Naukowe / Akademia Ekonomiczna w Katowicach
• Rocznik: 1998
• Tom: Modelowanie preferencji a ryzyko '98
• Strony: 423--433

Twórcy

autor

Kazimierz Zaraś

• Université du Québec en Abitibi Témiscamingue, Canada

Bibliografia

• Greco S., Matarazzo B., and Słowiński, R. (1997). Rough Approximation of a Preference Relation by Fuzzy Dominance Relation. Proceedings of International Conference on Methods and Applications of Multicriteria Decision Making, FUCAM, Mons, May 14-16.
• Greco S., Matarazzo B., Słowiński. (1997). Rough Set Approach to MultiAttribute Choice and Ranking problems. ICS Research Report 38/95, Warsaw University of Technology, Warsaw 1995. In: G. Fandel and T. Gal (eds.). Multiple Criteria Decision Making. Springer-Verlag, Berlin.
• Pawlak Z. (1997). Rough Set Approach to Kowledge-based Decision Support. European Journal of Operational Research, 99.
• Pawlak Z., Słowiński R. (1994). Rough Set Approach to Multi-Attribute Decision Analysis. European Journal of Operational Research, 72.
• Pawlak Z. (1991). Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht.
• Słowiński R. (ed.) (1992). Intelligent Decision Support. Handbook of Applications and Advances of the Rough Sets Theory. Kluwer Academic Publishers, Dordrecht.
• Zaras K., Martel J.M. (1994). Multi-Attribute Analysis Based on Stochastic Dominance. In: Munier B., and Machina M.J. (eds.). Models and Experiments in Risk and Rationality. Kluwer Academic Publishers.
• Zaras K. (1989). Dominances stochastiques pour deux classes de fonctions d'utilité: concaves et convexes. RO/OR, Recherche Opérationnelle, vol. 23.