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Języki publikacji
Abstrakty
In this paper we propose a new approach for solving dynamic multi-objective decision making problems. The decision variants are generated in a discrete multi-stage model by forward/backward procedure of finding the set of all maximal elements based on Bellman's principle of optimality. As the set of all maximal elements consists of a number of elements - decision variants, our problem is to find among them a compromise element based on decision maker´s preferences with respect to several decision criteria. The evaluation of the weights of the criteria is based on data given by pairwise comparison matrices using triangular fuzzy numbers. Extended arithmetic operations with fuzzy numbers for application of the generalized logarithmic least squares method are defined and six methods for ranking fuzzy numbers to compare fuzzy outcomes are proposed. A numerical example is presented to clarify the methodology.(original abstract)
Rocznik
Tom
Strony
195--214
Opis fizyczny
Twórcy
autor
autor
autor
- University of Economics in Katowice, Poland
autor
Bibliografia
- Buckley J.J.: Fuzzy Hierarchical Analysis. "Fuzzy Sets and Systems" 1985, 17, 1, pp. 233-247.
- Chen S.J., Hwang C.L., and Hwang F.P.: Fuzzy Multiple Attribute Decision Making. Lecture Notes in Economics and Mathematical Systems. Vol. 375. Springer-Verlag, Berlin-Heidelberg 1992.
- Horn R.A., Johnson C.R.: Matrix Analysis. Cambridge University Press, Cambridge 1990.
- Ramík J.: Duality in Fuzzy Linear Programming with Possibility and Necessity Relations. "Fuzzy Sets and Systems" 2006, 157, 1, pp. 1283-1302.
- Ramík J., Perzina R.: Fuzzy ANP - a New Method and Case Study. Proceedings of the 24th International Conference MME 2006, 13-15.9.2006. University of West Bohemia, Pilsen 2006, pp. 433-445.
- Saaty T.L.: Exploring the Interface between Hierarchies, Multiple Objectives and Fuzzy Sets. "Fuzzy Sets and Systems" 1978, 1, pp. 57-68.
- Saaty, T.L.: Multicriteria Decision Making - the Analytical Hierarchy Process. Vol. I. RWS Publications, Pittsburgh 1991.
- Van Laarhoven P.J.M. and Pedrycz W.: A Fuzzy Extension of Saaty's Priority Theory. "Fuzzy Sets and Systems" 1983, 11, 4, pp. 229-241.
- Trzaskalik T., Sitarz S.: Dynamic Discrete Programming with Partially Ordered Criteria Set. In: Multiple Objective and Goal Programming. Recent Developments. Eds T. Trzaskalik, J. Michnik. Physica-Verlag, 2002, pp.186-195.
- Trzaskalik T., Sitarz S.: Dynamic Programming Models in Ordered Structures. In: Operational and System Research 2004. Eds. R. Kulikowski, J. Kacprzyk, R. Slowinski. Exit Press, Warszawa 2004, pp.15-29, (in Polish).
- Trzaskalik T., Sitarz S.: Discrete Dynamic Programming with Outcomes in Random Variable Structures. "European Journal of Operational Research" 2007, 177, pp. 1335-1348.
- Zimmermann H.J.: Fuzzy Set Theory and Its Applications. Kluwer Academic Publishers, Boston-Dordrecht-London 1996.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171282873