Abstract
In this paper, we construct a model of All-coefficient-fuzzy Linear Programming Based on Fuzzy Structured Element, in which all the objective function and constraint coefficients are triangular (or trapezoidal) fuzzy numbers. A new ranking criterion of fuzzy numbers is defined which is based on the method of structured element. According to this ranking criterion, fuzzy linear programming is transformed into classical linear programming, and then the rationality of the theory is proved. Compared with the other methods, the solution is superior to the other solutions and this method has fewer number of constraints. The calculation progress is simple, effectiveness and extensive application of this method. Finally, we give a numerical example to show the efficiency of this algorithm.
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Zhao, Hk., Guo, Sz. (2009). Solution to A-C-F-L-P Based on Fuzzy Structured Element. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_169
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DOI: https://doi.org/10.1007/978-3-642-03664-4_169
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03663-7
Online ISBN: 978-3-642-03664-4
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