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North American Fuzzy Information Processing Society Annual Conference

NAFIPS 2018: Fuzzy Information Processing pp 439–449Cite as

Necessary Optimality Conditions for Interval Optimization Problems with Inequality Constraints Using Constrained Interval Arithmetic

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

Abstract

This article is devoted to obtaining necessary optimality conditions for optimization problems with interval-valued objective and interval inequality constraints. These objective and constraint functions are obtained from continuous functions by using constrained interval arithmetic. We give a concept of derivative for this class of interval-valued functions and we find necessary conditions based on Karush-Kunh-Tucker theorem in their interval version. We present an example to illustrate our results.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Biosciences, Humanities and Exact Sciences, São Paulo State University (UNESP), São José do Rio Preto, SP, 15054-000, Brazil

    Gino G. Maqui-Huamán & Geraldo Silva

  2. Federal University of Triângulo Mineiro (UFTM), Iturama, MG, 38280-000, Brazil

    Ulcilea Leal

Authors
  1. Gino G. Maqui-Huamán
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  2. Geraldo Silva
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  3. Ulcilea Leal
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Corresponding author

Correspondence to Gino G. Maqui-Huamán .

Editor information

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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Maqui-Huamán, G.G., Silva, G., Leal, U. (2018). Necessary Optimality Conditions for Interval Optimization Problems with Inequality Constraints Using Constrained Interval Arithmetic. 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_38

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  • DOI: https://doi.org/10.1007/978-3-319-95312-0_38

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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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