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

Lifeng Li ()
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Lifeng Li: Xi’an University of Posts and Telecommunications

Fuzzy Optimization and Decision Making, 2023, vol. 22, issue 2, No 4, 247-265

Abstract: 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.

Keywords: Interval-valued optimization; Admissible order; Interval-valued convex functions; KKT optimality condition (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10700-022-09391-2

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