Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems

LI Hong-mei,GAO Ying

doi:10.13718/j.cnki.xdzk.2015.09.015

Journal of Southwest University Natural Science Edition

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2015 Volume 37 Issue 9

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LI Hong-mei,GAO Ying. Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems[J]. Journal of Southwest University Natural Science Edition, 2015, 37(9). doi: 10.13718/j.cnki.xdzk.2015.09.015

Citation:

LI Hong-mei,GAO Ying. Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems[J]. Journal of Southwest University Natural Science Edition, 2015, 37(9). doi: 10.13718/j.cnki.xdzk.2015.09.015

Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems

LI Hong-mei,GAO Ying

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Abstract

In this paper ,we study the necessary and sufficient optimality conditions for approximate weak‐ly ,approximate efficiently and approximate properly efficient solutions for multiobjective optimization problems .Here ,tangent cone ,ε‐normal cone ,and cones of feasible directions are used in their character‐ization .
- multiobjective programming problem，approximate solution，cone characterization,
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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