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Ramík Jaroslav, Hanclova Jana, Trzaskalik Tadeusz (University of Economics in Katowice, Poland), Sitarz Sebastian
Fuzzy Multiobjective Methods in Multistage Decision Problems
Multiple Criteria Decision Making / University of Economics in Katowice, 2008, vol. 3, s. 195-214, rys., tab., bibliogr. 12 poz.
Optymalizacja wielokryterialna, Podejmowanie decyzji, Analityczny proces hierarchiczny, Proces decyzyjny, Optimum Pareto, Macierze
Multiple criteria optimization, Decision making, Analytic Hierarchy Process (AHP), Decision proces, Pareto optimality, Matrix
summ., Korespondencja z redakcją: numeracja wpisana za zgodą redakcji (wynika z ciągłości wydawniczej serii MCDM) - brak numeracji na stronie tytułowej
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)
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