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

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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.

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (Grant Nos.11401469,F0118).

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Authors and Affiliations

  1. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Lifeng Li

  2. Shaanxi Key Laboratory of Network Data Analysis and Intelligent Processing, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Lifeng Li

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Correspondence to Lifeng Li.

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Li, L. Optimality conditions for nonlinear optimization problems with interval-valued objective function in admissible orders. Fuzzy Optim Decis Making 22, 247–265 (2023). https://doi.org/10.1007/s10700-022-09391-2

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