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An Approach for Solving Interval Optimization Problems

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Book cover Fuzzy Information Processing (NAFIPS 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 831))

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Abstract

This work considers an optimization problem where the objective function possesses interval uncertainty in the coefficients. In this sense, first, an order relation will be defined for the interval space and, from this, it will be defined a solution concept for the interval problem in question. Subsequently, it will be shown that an interval problem is equivalent to a bi-objective problem. Finally, it will be established the necessary conditions of Fritz John and Karush-Kuhn-Tucker types for the interval-valued optimization problem.

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Acknowledgements

The authors are thankful with the UNESP, CAPES, CBSF and NAFIPS for let them to present and develop this work.

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Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Biosciences, Letters and Exact Sciences, UNESP - São Paulo State University, São José do Rio Preto, SP, Brazil

    Fabiola Roxana Villanueva & Valeriano Antunes de Oliveira

Authors
  1. Fabiola Roxana Villanueva
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  2. Valeriano Antunes de Oliveira
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Corresponding authors

Correspondence to Fabiola Roxana Villanueva or Valeriano Antunes de Oliveira .

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Editors and Affiliations

  1. Department of Teleinformatics Engineering, Federal University of Ceará, Fortaleza, Ceará, Brazil

    Guilherme A. Barreto

  2. Department of Statistics & Applied Mathematics, Federal University of Ceará, Fortaleza, Ceará, Brazil

    Ricardo Coelho

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Villanueva, F.R., de Oliveira, V.A. (2018). An Approach for Solving Interval Optimization Problems. In: Barreto, G., Coelho, R. (eds) Fuzzy Information Processing. NAFIPS 2018. Communications in Computer and Information Science, vol 831. Springer, Cham. https://doi.org/10.1007/978-3-319-95312-0_43

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  • DOI: https://doi.org/10.1007/978-3-319-95312-0_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95311-3

  • Online ISBN: 978-3-319-95312-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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