Authors: | Stanojević, Bogdana Stanojević, Milan |
Title: | Penalty method for fuzzy linear programming with trapezoidal numbers | Journal: | Yugoslav Journal of Operations Research | Volume: | 19 | Issue: | 1 | First page: | 149 | Last page: | 156 | Issue Date: | 1-Jan-2009 | Rank: | M51 | ISSN: | 0354-0243 | DOI: | 10.2298/YJOR0901149S | 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. |
Keywords: | Linear programming | Penalty method | Trapezoidal fuzzy number | Publisher: | Faculty of Organizational Sciences, University of Belgrade |
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