Fuzzy and semi-infinite mathematical programming

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Abstract

In this paper linkups between imprecision and infinity in an optimization framework are highlighted. Inspired by these connections, the new potential opened up by semi-infinite optimization is gainfully exploited to push forward an approach for solving a fuzzy mathematical program. Issues regarding the viability of the approach as well as the satisfying character of solutions yielded by this way are also addressed. Furthermore, we present a cutting plane method for solving the resulting semi-infinite program. We end up by some concluding remarks and indicate directions for further developments. © 1992.

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Luhandjula, M. K., Ichihashi, H., & Inuiguchi, M. (1992). Fuzzy and semi-infinite mathematical programming. Information Sciences, 61(3), 233–250. https://doi.org/10.1016/0020-0255(92)90052-A

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