Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints

Rekha R. Jaichander, Izhar Ahmad*, Krishna Kummari, Suliman Al-Homidan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper, Karush-Kuhn-Tucker type robust necessary optimality conditions for a robust nonsmooth interval-valued optimization problem (UCIVOP) are formulated using the concept of LUoptimal solution and the generalized robust Slater constraint qualification (GRSCQ). These KarushKuhn-Tucker type robust necessary conditions are shown to be sufficient optimality conditions under generalized convexity. The Wolfe and Mond-Weir type robust dual problems are formulated over cones using generalized convexity assumptions, and usual duality results are established. The presented results are illustrated by non-trivial examples.

Original languageEnglish
Article number1787
Issue number11
StatePublished - 1 Jun 2022

Bibliographical note

Funding Information:
Acknowledgments: The second and fourth authors would like to thank the King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia to provide the financial support. Also, the authors would like to express their gratitude to the anonymous referees for their insightful recommendations and comments, which dramatically improved this manuscript to its present state.

Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.


  • Generalized convexity
  • LUoptimal solution
  • duality
  • optimality
  • robust nonsmooth interval-valued optimization problem

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Engineering (miscellaneous)
  • Mathematics (all)


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