Fuzzy Dynamic Multi-objective Decision Making Problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F07%3A%230000011" target="_blank" >RIV/47813059:19520/07:#0000011 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Fuzzy Dynamic Multi-objective Decision Making Problems
Original language description
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.
Czech name
Fuzzy dynamické multi-kriteriální rozhodovací problémy
Czech description
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.
Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA402%2F06%2F0431" target="_blank" >GA402/06/0431: Research and further further development of multi-criteria decision methods and its application to the public sector</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the Conference MME 07
ISBN
978-80-248-1457-5
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
101-108
Publisher name
VŠB-TU Ostrava
Place of publication
Ostrava
Event location
Ostrava
Event date
Jan 1, 2007
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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