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 …

Newton method to obtain efficient solutions of the optimization problems with interval-valued objective functions

D Ghosh - Journal of Applied Mathematics and Computing, 2017 - Springer
In this paper, a Newton method is proposed to obtain efficient solutions for the optimization
problems with interval-valued objective functions. In the concept of efficient solution of the …

[HTML][HTML] Dealing with uncertainty in cybersecurity decision support

Y Zhang, P Malacaria - Computers & Security, 2025 - Elsevier
The mathematical modeling of cybersecurity decision-making heavily relies on cybersecurity
metrics. However, achieving precision in these metrics is notoriously challenging, and their …

[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 …

Sufficiency and duality in interval-valued variational programming

I Ahmad, A Jayswal, S Al-Homidan… - Neural Computing and …, 2019 - Springer
In the present paper, we focus our study on an interval-valued variational problem and
derive sufficient optimality conditions by using the notion of invexity. In order to relate the …

Hermite–Hadamard-type Inequalities for -preinvex Interval-Valued Functions via Fractional Integral

Y Tan, D Zhao, MZ Sarikaya - International Journal of Computational …, 2023 - Springer
We present a comprehensive study on Hermite–Hadamard-type inequalities for interval-
valued functions that are ħ-preinvex, using the Riemann–Liouville fractional integral. Our …

Sufficiency and duality for nonsmooth interval-valued optimization problems via generalized invex-infine functions

I Ahmad, K Kummari, S Al-Homidan - Journal of the Operations Research …, 2023 - Springer
In this paper, a new concept of generalized-affineness type of functions is introduced. This
class of functions is more general than some of the corresponding ones discussed in …

Optimality conditions and duality for interval-valued optimization problems using convexifactors

A Jayswal, I Stancu-Minasian, J Banerjee - Rendiconti del Circolo …, 2016 - Springer
This paper is devoted to the applications of convexifactors on interval-valued programming
problem. Based on the concept of LU optimal solution, sufficient optimality conditions are …

Optimality Conditions for Invex Interval Valued Nonlinear Programming Problems Involving Generalized 𝐻-Derivative

I Ahmad, D Singh, BA Dar - Filomat, 2016 - JSTOR
In this paper, some interval valued programming problems are discussed. The solution
concepts are adopted fromWu [7] and Chalco-Cano et al.[34]. By considering generalized …

Optimality conditions and duality results for non-differentiable interval optimization problems

AK Bhurjee, SK Padhan - Journal of Applied Mathematics and Computing, 2016 - Springer
In present study, an interval optimization problem is addressed in which both objective and
constraint functions are non-differentiable. The existence of the solution for this problem is …