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Interactive Fuzzy Programming for Two-level Nonlinear Integer Programming Problems through Genetic Algorithms

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並列摘要


In the present paper, we focus on two-level nonlinear integer programming problems (TLNLIPPs) in which there exists a decision maker (DM) with integer decision variables at the upper level and another DM with integer decision variables at the lower level. Various approaches for two-level programming problems could exist according to situations which the DMs are placed in. Assuming the cooperative relationship between the DM at the upper level and one at the lower level, in this paper, an interactive fuzzy programming technique through genetic algorithms for TLNLIPPs is proposed to obtain a satisfactory solution for the DMs. Furthermore, the feasibility of the proposed method is shown by applying it to an illustrative numerical example.

參考文獻


Bellman, R. E.,Zadeh, L. A.(1970).Decision making in a fuzzy environment.Management Science.17,141-164.
GENOCOP V
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Sakawa, M.(2002).Genetic Algorithms and Fuzzy Multiobjective Optimization.Boston, MA:Kluwer Academic Publishers.
Sakawa, M.,Kato, K.(2003).Genetic algorithms with double strings for 0-1 programming problems.European Journal of Operational Research.144,581-597.

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