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The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems

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Abstract

This paper considers optimization problems with fuzzy-valued objective functions. For this class of fuzzy optimization problems we obtain Karush–Kuhn–Tucker type optimality conditions considering the concept of generalized Hukuhara differentiable and pseudo-invex fuzzy-valued functions.

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Authors and Affiliations

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

    Y. Chalco-Cano

  2. Department of Mathematical and Statistical Sciences, University of Colorado, Denver, CO, 80217, USA

    W. A. Lodwick

  3. Departamento I.O., Universidad de Sevilla, 41012, Sevilla, Spain

    R. Osuna-Gómez & A. Rufián-Lizana

Authors
  1. Y. Chalco-Cano
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  2. W. A. Lodwick
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  3. R. Osuna-Gómez
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  4. A. Rufián-Lizana
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Corresponding author

Correspondence to Y. Chalco-Cano.

Additional information

The research in this paper has been supported by Fondecyt-Chile, Project 1120665 and by Ministerio de Ciencia y Tecnología (Spain) through Project MTM 2010-15383.

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Chalco-Cano, Y., Lodwick, W.A., Osuna-Gómez, R. et al. The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems. Fuzzy Optim Decis Making 15, 57–73 (2016). https://doi.org/10.1007/s10700-015-9213-9

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  • DOI: https://doi.org/10.1007/s10700-015-9213-9

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