Abstract
In terminology introduced by Vansnik [10], the multicriteria formulation of decision situation can be defined as a model of three components: the set of attributes, the set of alternatives and the set of evaluations. Each pair (attribute, alternatives) is described by vector of evaluation, which may be of different nature. In multicriteria analysis with uncertainty we apply MCAP procedures by Zaras and Martel [13] based on stochastic and probabilistic dominances for welfare in the decision making process.
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References
Bawa V.S., Lindberg E.B., Rafsky L.C. „An Efficient Algoritm To Determinate Stochastic Dominance Admissible Sets“, Managment Science, Vol 25, No 7, July 1979, (609–622)
Burr R., Porter Portfolio Applications: Empirical Studies; - Stochastic Dominnce An Approach to Decision-Making Under Risk, Lexington Books, D.C. Heath and Company, Lexington, Massachusetts, Toronto, 1978.
Hadar J., Russel W. R. „Rules of Ordering Uncertaine Prospects”, American Economic Review, Vol. 59, 1969. (25–34)
Lee Y. R., Stam A. and Yu P.L. (1984). Dominance Concepts in Random Outcomes. Proceedings of International Seminar on the Mathemathics of Multi-Objective Optimization, CISM, Udine, Italy.
Martel J.M., Zaras K. (1994). Multiattribute analysis based on stochastic dominance, in Models and Experiments in Risk and Rationality. Kluwer Academic Publishers,, (225–248)
Quirk P., Saposnik R. Admissibility and Measurable Utility Functions. Review of Economic Study, Vol. 29, 1962, (142–146)
Roy B. and Bouyssou D. (1993). Aide multicritere a la decision: Methodes et cas, Economica, Paris.
Whitemore A. (1970). Third Degree Stochastic Dominance American Economic Review, Vol. 60,, (457–459)
Trzaskalik T.,Zaras K., Trzpiot G. (1996). Modelowanie preferencji z wykorzystaniem dominacji stochastycznych. Akademia Ekonomiczna w Katowicach, Katowice
Trzaskalik T.,Zaras K., Trzpiot G. (1997). Modelowanie preferencji z wykorzystaniem dominacji stochastycznych - etap I I. Akademia Ekonomiczna w Katowicach, Katowice
Vansnik, J.C. (1990) “Measurment theory and decision aid”, Readings in Multiple criteria decision aid, Springer Verlag, Berlin 81–100
Wrather, c. and Yu, P.L. 1982 „Probability Dominance in Random Outcomes“. Journal of Optimization Theory and Appliccation, 36, 3, 315–334.
Zaras K. (1989). Dominances stochastiques pour deux classes de fonctions d’utilite: concaves et convexes. RAIRO: Recherche Operationnelle. Vol 23, 1, (57–65)
Zaras K. and Martel J. M. (1997). Modeling Preferences Using Stochastic and Probabilistic Dominances. International Conference on Methods and Applications of Multicriteria Decision Making, Mons, Belgium.
Zawisza M. (1997). Dominacje stochastyczne i ich implementacja komputerowa. Praca magisterska pod kierunkiem naukowym T. Trzaskalika i G. Trzpiot, Akademia Ekonomiczna w Katowicach, Katowice.
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Zawisza, M., Trzpiot, G. (2002). Multicriteria Analysis Based On Stochastic and Probabilistic Dominance in Measuring Quality of Life. In: Trzaskalik, T., Michnik, J. (eds) Multiple Objective and Goal Programming. Advances in Soft Computing, vol 12. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1812-3_32
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DOI: https://doi.org/10.1007/978-3-7908-1812-3_32
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