KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions

D Singh, BA Dar, DS Kim - European Journal of Operational Research, 2016 - Elsevier
We devote this paper to study a class of interval valued multiobjective programming
problems. For this we consider two order relations LU and LS on the set of all closed …

New efficiency conditions for multiobjective interval-valued programming problems

R Osuna-Gómez, B Hernández-Jiménez… - Information …, 2017 - Elsevier
In this paper, we focus on necessary and sufficient efficiency conditions for optimization
problems with multiple objectives and a feasible set defined by interval-valued functions. A …

The KKT optimality conditions for optimization problem with interval-valued objective function on Hadamard manifolds

S Chen - Optimization, 2022 - Taylor & Francis
In this paper, we study the Karush–Kuhn–Tucker optimality conditions in an optimization
problem with interval-valued objective function on Hadamard manifolds. The gH-directional …

[PDF][PDF] Sufficiency and duality in non-smooth interval valued programming problems

D Singh, BA Dar, DS Kim - J. Ind. Manag. Optim, 2019 - researchgate.net
In this paper a non-smooth optimization problem is studied in an uncertain environment. The
objective function of this problem is interval valued function. We introduce the class of …

[HTML][HTML] Optimality conditions in a class of generalized convex optimization problems with the multiple interval-valued objective function

N Abdulaleem - Systems and Soft Computing, 2023 - Elsevier
In this paper, a new class of generalized convex optimization problems with a multiple
interval-valued objective function is considered. The concepts of B-preinvexity, B-invexity …

A review on differentiability and optimality conditions in fuzzy environments

B Hernández-Jiménez, R Osuna-Gómez… - … and Management of …, 2022 - Springer
In this paper we present a review of the most important notions and characterizations of
differentiability and necessary optimality conditions for a fuzzy multiobjective problem. As …

Optimality conditions and duality for continuous-time programming with multiple interval-valued objective functions

LT Tung, DH Tam - Computational and Applied Mathematics, 2022 - Springer
The objective of this paper is to study the interval-valued multiobjective continuous-time
programming. First, both Karush–Kuhn–Tucker necessary and sufficient optimality …

Optimality conditions for interval valued optimization problems

FR Villanueva, VA de Oliveira, TM Costa - Fuzzy Sets and Systems, 2023 - Elsevier
This work addresses constrained optimization problems in which the objective function is
interval-valued while the inequality constraints functions are real-valued. Both necessary …

Optimality conditions in multiobjective programming problems with interval valued objective functions

I Ahmad, D Singh, BA Dar - Control and Cybernetics, 2015 - yadda.icm.edu.pl
We devote this paper to study of multiobjective programming problems with interval valued
objective functions. For this, we consider two order relations LU and LS on the set of all …

Fréchet and Gateaux gH-differentiability for interval valued functions of multiple variables

L Stefanini, M Arana-Jiménez, L Sorini - Information Sciences, 2025 - Elsevier
In this work we extend concepts of differentiability for Interval-Valued functions (IV-functions)
of multiple variables, based on generalized Hukuhara gH-difference. In this context, we …