A new approach for solving multi-objective interval-valued variational problems and its applications

Document Type : Original paper

Authors

School of Advanced Sciences, VIT-AP University, Amaravati, Vijaywada, 522237, Andhra Pradesh, India

Abstract

This study focuses on one of the methods for solving a nonlinear multiobjective convex interval-valued variational problem. Namely, the weighting method is used to find its weakly $LU$-efficient solution and $LU$-efficient solution. Therefore, the weighted variational problem is introduced for the given nonlinear multiobjective interval-valued variational problem. Then, under appropriate convexity assumptions, the equivalance between a (weakly) $LU$-efficient solution of the original nonlinear multiobjective interval-valued variational problem and an optimal solution of its associated weighting variational problem is established.

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References

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Communications in Combinatorics and Optimization
Volume 11, Issue 3
September 2026
Pages 923-939

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