Optimal solutions in optimization problem with objective function depending on fuzzy parameters
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F07%3A%230000013" target="_blank" >RIV/47813059:19520/07:#0000013 - 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
Optimal solutions in optimization problem with objective function depending on fuzzy parameters
Original language description
In this paper we first introduce a broad class of fuzzy optimization problems with an objective function depending on fuzzy parameters and introduce the concept alpha-maximal solutions of FO problems with respect to some fuzzy relation. We derive a simple and natural su-cient condition for a In this paper we first introduce a broad class of fuzzy optimization problems with an objective function depending on fuzzy parameters and introduce the concept á.maximal solutions of FO problems with respect to some fuzzy relation. We derive a simple and natural sufficient condition for a feasible solution to be an alpha-maximal solutions of FO problem. Later on we define possibly and necessarily alpha-maximal solutions of FO problems and prove that any possibly or necessarily alpha-maximal solution of FO problem is an á-maximal solution with respect to the possibilistic fuzzy relation or necessity fuzzy relation, respectively.
Czech name
Optimální řešení v optimalizačních problémech s účelovou funkcí závislou na parametrech
Czech description
In this paper we first introduce a broad class of fuzzy optimization problems with an objective function depending on fuzzy parameters and introduce the concept alpha-maximal solutions of FO problems with respect to some fuzzy relation. We derive a simple and natural su-cient condition for a In this paper we first introduce a broad class of fuzzy optimization problems with an objective function depending on fuzzy parameters and introduce the concept á.maximal solutions of FO problems with respect to some fuzzy relation. We derive a simple and natural sufficient condition for a feasible solution to be an alpha-maximal solutions of FO problem. Later on we define possibly and necessarily alpha-maximal solutions of FO problems and prove that any possibly or necessarily alpha-maximal solution of FO problem is an á-maximal solution with respect to the possibilistic fuzzy relation or necessity fuzzy relation, respectively.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
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
Name of the periodical
International Journal of Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
158
Issue of the periodical within the volume
17
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
1873-1881
UT code for WoS article
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EID of the result in the Scopus database
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