Fuzzy Multiobjective Methods in Multistage Decision Problems

• Autorzy: Jaroslav Ramík , Jana Hanclova , Tadeusz Trzaskalik , Sebastian Sitarz
• Języki publikacji: EN

Abstrakty

EN

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)

Słowa kluczowe

EN

Multiple criteria optimization; Decision making; Analytic Hierarchy Process (AHP); Decision proces; Pareto optimality; Matrix

PL

Optymalizacja wielokryterialna; Podejmowanie decyzji; Analityczny proces hierarchiczny; Proces decyzyjny; Optimum Pareto; Macierze

• Czasopismo: Multiple Criteria Decision Making / University of Economics in Katowice
• Rocznik: 2008
• Tom: 3
• Strony: 195--214

Twórcy

autor

Jaroslav Ramík

autor

Jana Hanclova

autor

Tadeusz Trzaskalik

• University of Economics in Katowice, Poland

autor

Sebastian Sitarz

Bibliografia

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