Operations Research Transactions ›› 2014, Vol. 18 ›› Issue (4): 58-64.

• Original Articles • Previous Articles     Next Articles

Nonlinear scalarization characterizations for \varepsilon-properly efficient solutions in vector optimization

XIA Yuanmei1, ZHAO Kequan1,*   

  1. 1. College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China
  • Received:2014-02-04 Online:2014-12-15 Published:2014-12-15

Abstract: In this paper, a nonlinear scalarization characterization of  \varepsilon-properly efficient solutions is given by means of a kind of nonlinear scalarization function proposed by G\"{o}pfert et al. for vector optimization problems. And several examples are proposed to illustrate the main results.

Key words: vector optimization, \varepsilon-properly efficient solutions, nonlinear scalarization

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