Results 261 to 270 of about 393,333 (294)

Strong Duality for Proper Efficiency in Vector Optimization

Journal of Optimization Theory and Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sach, P. H., Kim, D. S., Lee, G. M.
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Strongly Proper Efficient Solutions: Efficient Solutions with Bounded Trade-Offs

Journal of Optimization Theory and Applications, 2015
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Kazhal Khaledian, Esmaile Khorram, Majid Soleimani-Damaneh   +2 more
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Efficiency and proper efficiency in nonlinear vector maximum problems

European Journal of Operational Research, 1990
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Gulati, T. R., Islam, M. A.
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A modified direction approach for proper efficiency of multiobjective optimization

Optimization Methods and Software, 2021
In order to generate properly efficient solutions of a general multiobjective optimization problem, a unified direction approach was introduced by Ghaznavi et al. (Optim. Methods Softw., 2019).
Liping Tang, Xinmin Yang 0001
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Proper efficiency with respect to cones

Journal of Optimization Theory and Applications, 1982
Strict separation by a cone is used here to redefine proper efficiency. Two versions of the properness, which unify and generalize known definitions, are presented. Necessary and sufficient conditions for the existence of the set of properly efficient decisions and characterization of this set in terms of the supports of the decision set are given.
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Characterizations of Hartley Proper Efficiency in Nonconvex Vector Optimization

Journal of Global Optimization, 2005
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Gue Myung Lee, Do Sang Kim, Pham Huu Sach   +2 more
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Generalized Proper Efficiency in Multiobjective Programming

Journal of Information and Optimization Sciences, 1991
Abstract The concept of proper efficiency, introduced by Geoffrion, is generalized to cover practical situations where Geoffrion’s definition does not apply. The generalized definition is applied to the relationship between multiobjective programming and scalarized multiobjective programming, and to the duality theory of mathematical programming.
C. Singh, M.A. Hanson
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Cones, Efficiency and Proper Efficiency — A General Setting

1994
A more general formulation of vector optimization problems than that given in Chapter 2 we obtain by taking instead of the cone R + k any convex cone K. Vector Optimization problems generalized in this way were investigated by many authors inspired by a new area open for research. Publications in this field are numerous, as witnessed eg by the surveys:
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Extensions of proper efficiency in complex space

Mathematical Methods in the Applied Sciences, 2017
In this paper, we extend proper efficiency concepts for a vector optimization problem in complex space. The relationships among the concepts due to Benson, Borwein, Kuhn‐Tucker, and Geoffrion have been discussed under some convexity and constraints qualification conditions.
E. A. Youness, Mamdouh E. Elbrolosy
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Approximate proper efficiency in vector optimization

Optimization, 2014
In recent years, some different kinds of approximate proper efficiency have been proposed by means of different tools including co-radiant set and improvement set for a vector optimization problem. In this paper, we first summarize some known concepts of approximate proper efficiency, relations among them and some corresponding linear scalarization ...
Kequan Zhao, Guangya Chen, Xinmin Yang
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