Optimality conditions for linear programming problems with fuzzy coefficients

  • Authors:
  • Hsien-Chung Wu

  • Affiliations:
  • Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2008

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Abstract

The optimality conditions for linear programming problems with fuzzy coefficients are derived in this paper. Two solution concepts are proposed by considering the orderings on the set of all fuzzy numbers. The solution concepts proposed in this paper will follow from the similar solution concept, called the nondominated solution, in the multiobjective programming problem. Under these settings, the optimality conditions will be naturally elicited.