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- Title
Optimality, duality and saddle point criteria for a robust fractional interval-valued optimization problem with uncertain inequality constraints via convexificators.
- Authors
Kummari, Krishna; Jaichander, Rekha R.; Ahmad, Izhar
- Abstract
This article focuses on optimality conditions for a robust fractional interval-valued optimization problem with uncertain inequality constraints (RNFIVP) based on convexificators. Using the tools of convexity, an example of sufficient optimality conditions is demonstrated. Robust parametric duality for (RNFIVP) is formulated and utilizing the concept of convexity, usual duality results between the primal and dual problems are investigated. Further, the equivalence between the saddle point criteria of a Lagrangian type function and a robust LU L U $ \mathcal{L}\mathcal{U}$ -optimal solution for (RNFIVP) with convexity is also examined.
- Subjects
LAGRANGIAN points; ROBUST optimization; LAGRANGIAN functions
- Publication
RAIRO: Operations Research (2804-7303), 2023, Vol 57, Issue 3, p1397
- ISSN
2804-7303
- Publication type
Article
- DOI
10.1051/ro/2023070