Generalized-Hukuhara subdifferential analysis and its application in nonconvex composite interval optimization problems

D Ghosh, R Mesiar, HR Yao, RS Chauhan - Information Sciences, 2023 - Elsevier
In this article, we study calculus for gH-subdifferential of convex interval-valued functions
(IVFs) and apply it in a nonconvex composite model of an interval optimization problem …

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 …

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) …

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 …

Generalized ordered weighted aggregation robustness: a new robust counterpart to solve uncertain multi-objective optimization problems

D Ghosh, N Kishor - Engineering Optimization, 2024 - Taylor & Francis
Based on a given set of uncertain scenarios, robust optimization aims to determine the best
possible choices. The best solution in robust optimization is usually found by identifying the …

A stochastic technique to solve interval non-linear programming problems using GH-difference

S Kumari, S Srivastava - Engineering Computations, 2024 - emerald.com
Purpose A stochastic technique for solving interval non-linear problems using generalized
Hukuhara (GH)-difference is proposed. The non-linear programming problem in interval …

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 …

Generalized Hukuhara Hadamard derivative of interval-valued functions and its applications to interval optimization

RS Chauhan, D Ghosh, QH Ansari - Soft Computing, 2024 - Springer
In this article, we study the notion of gH-Hadamard derivative for interval-valued functions
(IVFs) and apply it to solve interval optimization problems (IOPs). It is shown that the …

[PDF][PDF] GENERALIZED HUKUHARA DINI HADAMARD ε-SUBDIFFERENTIAL AND Hε-SUBGRADIENT AND THEIR APPLICATIONS IN INTERVAL OPTIMIZATION

KK ANSHIKA, D GHOSH - J. Appl. Numer. Optim, 2024 - jano.biemdas.com
In this paper, we develop and analyze the concepts of gH-Dini Hadamard ε-subdifferential
and Hε-subgradient for interval-valued functions (IVFs). Some important characteristics of gH …

Generalized-hukuhara subdifferential analysis and its application in nonconvex composite optimization problems with interval-valued functions

D Ghosh, RS Chauhan, R Mesiar - arXiv preprint arXiv:2109.14586, 2021 - arxiv.org
In this article, we study $ gH $-subdifferential calculus of convex interval-valued functions
(IVFs) and apply it in a nonconvex composite model of interval optimization problems (IOPs) …