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<p>This study explores decision-making under uncertainty by analyzing a generalized vector semi-infinite programming problem, referred to as the Uncertain Vector Semi-Infinite Problem (UVSIP). To tackle uncertainty in constraints, Robust optimization technique is used. Applying Clarke s subdifferential calculus, the sufficient optimality conditions and duality theorems for a Mond-Weir type dual model are obtained in terms of quasi-approximate solutions of the nonsmooth (UVSIP). To demonstrate the practical relevance and validity of the theoretical findings, a detailed numerical example is presented.</p>

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Tackling uncertain data in solution methods of nonsmooth vector semi-infinite problems

  • 期刊论文

  • 发表日期：

    2026年7月6日

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  • Arshpreet Kaur,
  • Izhar Ahmad

摘要

This study explores decision-making under uncertainty by analyzing a generalized vector semi-infinite programming problem, referred to as the Uncertain Vector Semi-Infinite Problem (UVSIP). To tackle uncertainty in constraints, Robust optimization technique is used. Applying Clarke s subdifferential calculus, the sufficient optimality conditions and duality theorems for a Mond-Weir type dual model are obtained in terms of quasi-approximate solutions of the nonsmooth (UVSIP). To demonstrate the practical relevance and validity of the theoretical findings, a detailed numerical example is presented.