EURO 2025 Leeds
Abstract Submission

444. A new F-E-objective approach and optimality conditions for E-differentiable interval-valued multiobjective optimization problems

Invited abstract in session TD-51: Advances in nonlinear multiobjective optimization, stream Multiobjective and vector optimization.

Tuesday, 14:30-16:00
Room: Parkinson B22

Authors (first author is the speaker)

1. Najeeb Abdulaleem
Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn

Abstract

The increasing reliance on optimization models for decision making has created a demand for tools that can formulate and solve a broader range of models related to real-world processes and human activities, especially in situations where hypotheses cannot be verified in the traditional sense of classical optimization. One effective approach to addressing real-world extremum problems under uncertainty is interval-valued optimization.
In this paper, a nonconvex E-differentiable vector optimization problem with multiple interval-valued objective functions and both inequality and equality constraints is considered. We derive the E-Karush-Kuhn-Tucker (E-KKT) necessary optimality conditions for these interval-valued multiobjective programming problems. Further, we propose a new methodology termed the F-E-objective function approach. This method transforms the original vector optimization problem into an equivalent vector optimization problem with interval-valued F-E-objective functions, ensuring equivalence under F-E-convexity assumptions. The proposed approach is demonstrated to be effective in solving nonlinear, nonconvex interval-valued optimization problems. Furthermore, we illustrate that, under specific conditions, the introduced method enables the resolution of complex nonlinear problems by leveraging techniques designed for linear interval-valued optimization.

Keywords

Status: accepted

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