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On Fuzzy Optimization Foundation

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Abstract

In this work we discuss the fuzzy optimization problem, in order to provide a mathematical approach to the foundation of optimization problem in the fuzzy context. By the Zadeh’s extension principle we revisit the decision method stated by Bellman and Zadeh.

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Acknowledgement

The authors would like to thank the financial support of CNPq under grant 306546/2017-5, CAPES under grant no. 1691227, and, FAPESP under grant no. 2016/26040-7.

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Correspondence to Nilmara J. B. Pinto .

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Barros, L.C., Pinto, N.J.B., Esmi, E. (2019). On Fuzzy Optimization Foundation. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_14

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