Solving nonsmooth interval optimization problems based on interval-valued symmetric invexity

Y Guo, G Ye, W Liu, D Zhao, S Treanţǎ - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper focuses on a nonsmooth nonconvex interval-valued optimization problem. For
this, we propose interval-valued symmetric invexity, interval-valued symmetric pseudo …

On symmetric gH-derivative: Applications to dual interval-valued optimization problems

Y Guo, G Ye, W Liu, D Zhao, S Treanţă - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper provides a complete study on properties of symmetric gH-derivative. More
precisely, a necessary and sufficient condition for the symmetric gH-differentiability of …

On relations between nonsmooth interval-valued multiobjective programming problems and generalized Stampacchia vector variational inequalities

BB Upadhyay, IM Stancu-Minasian, P Mishra - Optimization, 2023 - Taylor & Francis
In this article, we study nonsmooth interval-valued multiobjective programming problem and
generalized Stampacchia vector variational inequality with its weak form for interval-valued …

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 …

Optimal decision making, using interval uncertainty techniques, of a production-inventory model under warranty-linked demand and carbon tax regulations

MS Rahman, AK Manna, AA Shaikh, I Konstantaras… - Soft Computing, 2023 - Springer
The concepts of generalized Hukuhara difference and interval differential equation play
important role in the theory of interval uncertainty. These concepts have many applications …

Minty variational principle for nonsmooth interval-valued vector optimization problems on Hadamard manifolds

S Treanţă, P Mishra, BB Upadhyay - Mathematics, 2022 - mdpi.com
This article deals with the classes of approximate Minty-and Stampacchia-type vector
variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued …

Generalized-Hukuhara-gradient efficient-direction method to solve optimization problems with interval-valued functions and its application in least-squares problems

D Ghosh, AK Debnath, RS Chauhan… - International Journal of …, 2022 - Springer
This article proposes a general gH-gradient efficient-direction method and a W W-gH-
gradient efficient method for the optimization problems with interval-valued functions. The …

Weak sharp minima for interval-valued functions and its primal-dual characterizations using generalized Hukuhara subdifferentiability

K Kumar, D Ghosh, G Kumar - Soft Computing, 2022 - Springer
This article introduces the concept of weak sharp minima for convex interval-valued
functions. To solve constrained and unconstrained convex IOPs by WSM, we provide primal …

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 …