Generalized-Hukuhara subgradient and its application in optimization problem with interval-valued functions

D Ghosh, AK Debnath, RS Chauhan, R Mesiar - Sādhanā, 2022 - Springer
In this article, the concepts of gH-subgradient and gH-subdifferential of interval-valued
functions are illustrated. Several important characteristics of the gH-subdifferential of a …

Generalized-Hukuhara penalty method for optimization problem with interval-valued functions and its application in interval-valued portfolio optimization problems

AK Debnath, D Ghosh - Operations Research Letters, 2022 - Elsevier
In this study, a gH-penalty method is developed to obtain efficient solutions to constrained
optimization problems with interval-valued functions. The algorithmic implementation of the …

Quasi-Newton algorithms for solving interval-valued multiobjective optimization problems by using their certain equivalence

BB Upadhyay, RK Pandey, J Pan, S Zeng - Journal of Computational and …, 2024 - Elsevier
In this paper, we investigate a class of interval-valued multiobjective optimization problems
(IVMOP), and formulate a certain equivalent multiobjective optimization problem (MOP). We …

Interval-valued value function and its application in interval optimization problems

Anshika, D Ghosh - Computational and Applied Mathematics, 2022 - Springer
In this article, we attempt to propose the concept of interval-valued value function. To
propose the concept, we study the notion of a Lagrangian interval-valued function (IVF) …

Generalized Hukuhara-Clarke derivative of interval-valued functions and its properties

RS Chauhan, D Ghosh, J Ramík, AK Debnath - Soft Computing, 2021 - Springer
This paper is devoted to the study of gH-Clarke derivative for interval-valued functions. To
find properties of the gH-Clarke derivative, the concepts of limit superior, limit inferior, and …

Newton's method for interval-valued multiobjective optimization problem

BB Upadhyay, RK Pandey, S Liao - Journal of Industrial and …, 2024 - aimsciences.org
In this paper, we consider a class of interval-valued multiobjective optimization problems (in
short,(IVMOP)) and formulate an associated multiobjective optimization problem, referred to …

Necessary and sufficient conditions for interval‐valued differentiability

R Osuna‐Gómez, TM Costa… - … Methods in the …, 2023 - Wiley Online Library
This paper presents necessary and sufficient conditions for generalized Hukuhara
differentiability of interval‐valued functions and counterexamples of some equivalences …

Normal and tangent cones for set of intervals and their application in optimization with functions of interval variables

S Ghosh, D Ghosh, Anshika - Soft Computing, 2023 - Springer
In this article, we attempt to characterize optimum solutions for optimization problems with
interval-valued functions of interval variables. As the constraint set or the underlying variable …

Open-loop Pareto-Nash equilibria in multi-objective interval differential games

W Li, D Zou, D Li, Y Feng - arXiv preprint arXiv:2409.04012, 2024 - arxiv.org
The paper explores n-player multi-objective interval differential games, where the terminal
payoff function and integral payoff function of players are both interval-vector-valued …

Optimality conditions for nonsmooth fuzzy optimization models under the gH-weak subdifferentiability

F Shi, G Ye, W Liu, D Zhao - Computational and Applied Mathematics, 2024 - Springer
This paper is concerned with optimality conditions for a class of nonsmooth fuzzy
optimization problems based on gH-weak subdifferentiability. To this end, we first define the …