Abstract
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.
| Original language | English |
|---|---|
| Journal | Fuzzy Optimization and Decision Making |
| DOIs | |
| State | Accepted/In press - 2026 |
Bibliographical note
Publisher Copyright:© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2026.
Keywords
- Approximate solutions
- Decision making under uncertainty
- Duality theory
- Invexity
- Robust pareto efficient solutions
ASJC Scopus subject areas
- Software
- Logic
- Artificial Intelligence
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