Introduction
We did not discuss fuzzy integers in Chapter 2 so we will do this in the next section. Then in Section 24.3 we look at a standard integer programming problem and then fuzzify it. We plan to use our fuzzy Monte Carlo method in Section 24.4 to obtain (approximate) solutions to this fuzzy integer programming problem. There have been a few papers on fuzzy integers and optimization problems and we refer the reader to ([1]-[5]).
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References
Herrera, F., Verdegay, J.L.: Fuzzy Almost Integer Variables in Integer Programming Problems. J. Fuzzy Mathematics 2, 259–270 (1994)
Herrera, F., Verdegay, J.L.: Three Models of Fuzzy Integer Linear Programming. European J. Operational Research 83, 581–593 (1995)
Herrera, F., Verdegay, J.L.: Approaching Fuzzy Integer Linear Programming. In: Fedrizzi, M., Kacprzyk, J., Roubens, M. (eds.) Interactive Fuzzy Optimization, pp. 79–91. Springer, Heidelberg (1991)
Herrera, F.: Models and Methods in Fuzzy Discrete Programming. In: Delgado, M., Kacprzyk, J., Verdegay, J.L., Vila, M.A. (eds.) Fuzzy Optimization: Recent Advances, pp. 255–271. Physica-Verlag, Heidelberg (1994)
Herrera, F., Verdegay, J.L.: Making Decisions on Fuzzy Integer Linear Programming Problems. In: Ruan, D. (ed.) Fuzzy Logic Foundations and Industrial Applications, pp. 147–164. Kluwer Academic, Dordrecht (1996)
Taha, H.A.: Operations Research. Macmillan, New York (1992)
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Buckley, J.J., Jowers, L.J. (2007). Fuzzy Integer Programming. 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_24
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DOI: https://doi.org/10.1007/978-3-540-76290-4_24
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