Fuzzy vícekriteriální metody ve vícestupňových rozhodovacích problémech

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Fuzzy Multiobjective Methods in Multistage Decision Problems

Popis výsledku v původním jazyce

In this paper we propose a new approach for solving the 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 concerning several decision criteria. The evaluation of the weights of the criteria is based on the data given by pair-wise 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. An illustrating numerical example is presented to clarify the methodology.

Název v anglickém jazyce

Fuzzy Multiobjective Methods in Multistage Decision Problems

Popis výsledku anglicky

In this paper we propose a new approach for solving the 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 concerning several decision criteria. The evaluation of the weights of the criteria is based on the data given by pair-wise 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. An illustrating numerical example is presented to clarify the methodology.

Druh

C - Kapitola v odborné knize

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2008

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Multi Criteria Decision Making ?07

ISBN

978-83-7246-489-7

Počet stran výsledku

3

Strana od-do

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Počet stran knihy

264

Název nakladatele

The Karol Adamiecki University of Economics in Katowice

Místo vydání

Katowice

Kód UT WoS kapitoly

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