Copy For Citation
Kucuk M., Soyertem M., KÜÇÜK Y.
JOURNAL OF GLOBAL OPTIMIZATION, vol.50, no.2, pp.235-247, 2011 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
50
Issue:
2
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Publication Date:
2011
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Doi Number:
10.1007/s10898-010-9576-y
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Journal Name:
JOURNAL OF GLOBAL OPTIMIZATION
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.235-247
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Keywords:
Nonconvex analysis, Vector optimization, Total order, Nonconvex optimization, Scalarization
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Anadolu University Affiliated:
Yes
Abstract
In this paper, we introduce a construction method of total ordering cone on R(n). It is shown that any total ordering cone on Rn is isomorphic to the cone R(lex)(n). Existence of a total ordering cone that contain given cone with a compact base is shown. By using this cone, a solving method of vector and set valued optimization problems is presented.