East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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OPTIMALITY CONDITIONS AND DUALITY IN FRACTIONAL ROBUST OPTIMIZATION PROBLEMS

  • Kim, Moon Hee (Department of Refrigeration Engineering, Tongmyong University) ;
  • Kim, Gwi Soo (Department of Applied Mathematics, Pukyung National University)
  • Received : 2014.10.15
  • Accepted : 2015.03.30
  • Published : 2015.05.31
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Abstract

In this paper, we consider a fractional robust optimization problem (FP) and give necessary optimality theorems for (FP). Establishing a nonfractional optimization problem (NFP) equivalent to (FP), we formulate a Mond-Weir type dual problem for (FP) and prove duality theorems for (FP).

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References

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Cited by

  1. ON OPTIMALITY AND DUALITY FOR GENERALIZED FRACTIONAL ROBUST OPTIMIZATION PROBLEMS vol.31, pp.5, 2015, https://doi.org/10.7858/eamj.2015.054
  2. ON SUFFICIENCY AND DUALITY FOR FRACTIONAL ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ��)-INVEX FUNCTION vol.32, pp.5, 2016, https://doi.org/10.7858/eamj.2016.043