Some duality results on linear programming problems with symmetric fuzzy numbers

S. H. Nasseri () and N. Mahdavi-Amiri ()
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S. H. Nasseri: Mazandaran University
N. Mahdavi-Amiri: Sharif University of Technology

Fuzzy Information and Engineering, 2009, vol. 1, issue 1, 59-66

Abstract: Abstract Recently, linear programming problems with symmetric fuzzy numbers (LPSFN) have considered by some authors and have proposed a new method for solving these problems without converting to the classical linear programming problem, where the cost coefficients are symmetric fuzzy numbers (see in [4]). Here we extend their results and first prove the optimality theorem and then define the dual problem of LPSFN problem. Furthermore, we give some duality results as a natural extensions of duality results for linear programming problems with crisp data.

Keywords: Duality results; Fuzzy basic feasible solution; Fuzzy linear programming; Symmetric fuzzy numbers (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s12543-009-0004-2

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