Korean J. Math. Vol. 30 No. 3 (2022) pp.475-489
DOI: https://doi.org/10.11568/kjm.2022.30.3.475

Robust semi-infinite interval-valued optimization problem with uncertain inequality constraints

Main Article Content

Rekha R. Jaichander
Izhar Ahmad
Krishna Kummari


This paper focuses on a robust semi-infinite interval-valued optimization problem with uncertain inequality constraints (RSIIVP). By employing the concept of LU-optimal solution and Extended Mangasarian-Fromovitz Constraint Qualification (EMFCQ), necessary optimality conditions are established for (RSIIVP) and then sufficient optimality conditions for (RSIIVP) are derived, by using the tools of convexity. Moreover, a Wolfe type dual problem for (RSIIVP) is formulated and usual duality results are discussed between the primal (RSIIVP) and its dual (RSIWD) problem. The presented results are demonstrated by non-trivial examples.

Article Details


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