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Different optimum notions for fuzzy functions and optimality conditions associated

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Abstract

Fuzzy numbers have been applied on decision and optimization problems in uncertain or imprecise environments. In these problems, the necessity to define optimal notions for decision-maker’s preferences as well as to prove necessary and sufficient optimality conditions for these optima are essential steps in the resolution process of the problem. The theoretical developments are illustrated and motivated with several numerical examples.

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Authors and Affiliations

  1. Dpto. Estadística e I.O. Fac. Matemáticas, Universidad de Sevilla, C/Tarfia s/n, 41012, Seville, Spain

    R. Osuna-Gómez

  2. Dpto. Economía, Métodos Cuantitativos e H. Económica. Área de Estadística e I.O., Universidad Pablo de Olavide, Seville, Spain

    B. Hernández-Jiménez

  3. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile

    Y. Chalco-Cano

  4. Dpto de Estadística e I.O., Universidad de Cádiz, Campus de Jerez, 11405, Cádiz, Spain

    G. Ruiz-Garzón

Authors
  1. R. Osuna-Gómez
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  2. B. Hernández-Jiménez
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  3. Y. Chalco-Cano
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  4. G. Ruiz-Garzón
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Corresponding author

Correspondence to R. Osuna-Gómez.

Additional information

The research in this paper has been supported by MTM2015-66185 (MINECO/FEDER, UE) and Fondecyt-Chile, Project 1151154.

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Osuna-Gómez, R., Hernández-Jiménez, B., Chalco-Cano, Y. et al. Different optimum notions for fuzzy functions and optimality conditions associated. Fuzzy Optim Decis Making 17, 177–193 (2018). https://doi.org/10.1007/s10700-017-9269-9

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  • DOI: https://doi.org/10.1007/s10700-017-9269-9

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