Formulation of fuzzy linear programming problems as four-objective constrained optimization problems

  • Authors:

  • Guangquan Zhang;Yong-Hong Wu;M. Remias;Jie Lu

  • Affiliations:

  • Department of Mathematics and Statistics, Curtin University of Technology, G.P.O. Box U1987, Perth, WA 6845, Australia;Department of Mathematics and Statistics, Curtin University of Technology, G.P.O. Box U1987, Perth, WA 6845, Australia;Department of Mathematics and Statistics, Curtin University of Technology, G.P.O. Box U1987, Perth, WA 6845, Australia;Department of Software Engineering, Univesity of Technology, Sydney, P.O. Box 123, Broadway, NSW 2007, Australia

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2003

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Abstract

This paper concerns the solution of fuzzy linear programming (FLP) problems which involve fuzzy numbers in coefficients of objective functions. Firstly, a number of concepts of optimal solutions to FLP problems are introduced and investigated. Then, a number of theorems are developed so as to convert the FLP to a multi-objective optimization problem with four-objective functions. Finally, two illustrative examples are given to demonstrate the solution procedure. It also shows that our method of solution includes an existing method as a special case.