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Optimality conditions for nonlinear optimization problems with interval-valued objective function in admissible orders

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  • Lifeng Li

    (Xi’an University of Posts and Telecommunications
    Xi’an University of Posts and Telecommunications)

Abstract

This paper addresses the optimization problems with interval-valued objective function. We consider three types of total order relationships on the interval space. For each total order relationship, we introduce interval-valued convex functions and obtain Karush-Kuhn-Tucker (KKT) optimality conditions in an optimization problem with interval-valued objective function. In order to illustrate these conditions, some numerical examples have been considered and solved.

Suggested Citation

  • Lifeng Li, 2023. "Optimality conditions for nonlinear optimization problems with interval-valued objective function in admissible orders," Fuzzy Optimization and Decision Making, Springer, vol. 22(2), pages 247-265, June.
    • Handle: RePEc:spr:fuzodm:v:22:y:2023:i:2:d:10.1007_s10700-022-09391-2
    DOI: 10.1007/s10700-022-09391-2
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    References listed on IDEAS

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    4. A. Bhurjee & G. Panda, 2012. "Efficient solution of interval optimization problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(3), pages 273-288, December.
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