Introduction
We first discuss the general fully fuzzified linear program in the next section. Then we study a max problem, the product mix problem, in Section 7.3. We have previously obtained an approximate fuzzy solution to this problem using an evolutionary algorithm ([1],[2]). In Section 7.4 we will apply our fuzzy Monte Carlo method to the problem to generate another approximate solution and then compare these new results to the evolutionary algorithm method.
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Keywords
- Evolutionary Algorithm
- Fuzzy Number
- Triangular Fuzzy Number
- Fuzzy Linear Program
- Fuzzy Objective Function
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References
Buckley, J.J., Feuring, T.: Evolutionary Algorithm Solution to Fuzzy Problems: Fuzzy Linear Programming. Fuzzy Sets and Systems 109, 35–53 (2000)
Buckley, J.J., Eslami, E., Feuring, T.: Fuzzy Mathematics in Economics and Engineering. Physica-Verlag, Heidelberg (2002)
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Buckley, J.J., Jowers, L.J. (2007). Fully Fuzzified Linear Programming I. In: Monte Carlo Methods in Fuzzy Optimization. Studies in Fuzziness and Soft Computing, vol 222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76290-4_7
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DOI: https://doi.org/10.1007/978-3-540-76290-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76289-8
Online ISBN: 978-3-540-76290-4
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