Penalty method for fuzzy linear programming with trapezoidal numbers

Authors

  • Bogdana Stanojević Transilvania University of Brasov, Brasov, Romania
  • Milan Stanojević Faculty of Organizational Sciences, Belgrade

DOI:

https://doi.org/10.2298/YJOR0901149S

Keywords:

Linear programming, trapezoidal fuzzy number, penalty method

Abstract

In this paper we shall propose an algorithm for solving fuzzy linear programming problems with trapezoidal numbers using a penalty method. We will transform the problem of maximizing a function having trapezoidal fuzzy number values under some constraints into a deterministic multi-objective programming problem by penalizing the objective function for possible constraint violation. Furthermore, the obtained deterministic problem will have only unavoidable inequalities between trapezoidal fuzzy numbers parameters as constraints.

References

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Published

2009-03-01

Issue

Vol. 19 No. 1 (2009)

Section

Research Articles

License

Copyright (c) 2009 YUJOR

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