Some results on directionally differentiable multicriteria interval-valued optimization problems with vanishing constraints
Abstract
In this article, we examine the theoretical properties of interval-valued multiobjective optimization problems that are directionally differentiable and include equality, inequality, and vanishing constraints. The objective functions in these problems are considered interval-valued. Necessary conditions for optimality in nondifferentiable multiobjective optimization are derived under the Abadie and a modified Abadie constraint qualification. Furthermore, sufficient optimality conditions are proven under appropriate convexity assumptions. A Numerical example is also presented to validate the theoretical results of this work.
Fields of Study & Subjects
Optimization and Variational Analysis
Risk and Portfolio Optimization
Fuzzy Systems and Optimization
Publication details
- Journal / source
- Journal of Industrial and Management Optimization
- Volume
- 22
- Issue
- 2
- Pages
- 806–831
- Publication date
- 1 January 2026