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<p>In this paper, we consider a robust semi-infinite interval-valued optimization problem with inequality constraints having an uncertain parameter. The parametric representation of the aforesaid problem is also considered in order to derive the necessary and sufficient optimality conditions. Furthermore, we formulate a mixed-type dual problem and derive duality results which associate the robust weak efficient solution of the primal and its dual problems. Several examples are given to illustrate the results in the manuscript.</p>

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Semi-infinite interval-valued optimization problems with robust constraints

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Anurag Jayswal,
  • Ajeet Kumar

摘要

In this paper, we consider a robust semi-infinite interval-valued optimization problem with inequality constraints having an uncertain parameter. The parametric representation of the aforesaid problem is also considered in order to derive the necessary and sufficient optimality conditions. Furthermore, we formulate a mixed-type dual problem and derive duality results which associate the robust weak efficient solution of the primal and its dual problems. Several examples are given to illustrate the results in the manuscript.