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https://hdl.handle.net/20.500.14365/3947
Title: | Computing efficient solutions of nonconvex multi-objective problems via scalarization | Authors: | Kasimbeyli R. | Keywords: | Cone separation theorem Conic scalarization method Multi-objective optimization Proper efficiency Sublinear scalarizing functions Multi objective Proper efficiency Scalarization method Separation theorem Sublinear Signal processing System theory Theorem proving Multiobjective optimization |
Abstract: | This paper presents a new method for scalarization of nonlinear multi-objective optimization problems. We introduce a special class of monotonically increasing sublinear scalarizing functions and show that the scalar optimization problem constructed by using these functions, enables to compute complete set of weakly efficient, efficient, and properly efficient solutions of multi-objective optimization problems without convexity and bound-edness conditions. | Description: | 11th WSEAS International Conference on Signal Processing, Computational Geometry and Artificial Vision, ISCGAV'11, 11th WSEAS International Conference on Systems Theory and Scientific Computation, ISTASC'11 -- 23 August 2011 through 25 August 2011 -- Florence -- 87580 | URI: | https://hdl.handle.net/20.500.14365/3947 | ISBN: | 9.78162E+12 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection |
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