Fuzzy linear programming and duality

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Abstract

The chapter is concerned with linear programming problems whose input data may be fuzzy while the values of variables are always real numbers. We propose a rather general approach to these types of problems, and present recent results for problems in which the notions of feasibility and optimality are based on the fuzzy relations of possibility and necessity. Special attention is devoted to the weak and strong duality.

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Ramík, J., & Milan, M. V. (2015). Fuzzy linear programming and duality. In Springer Handbook of Computational Intelligence (pp. 131–143). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-43505-2_8

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