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) …

This paper is concerned with the optimality and duality for a class of nonconvex fuzzy
optimization problems under granular differentiability. We first derive optimality conditions for …

This paper investigates the Lagrangian dual theory for a class of fuzzy optimization
problems with equality and inequality constraints. To begin with, the Lagrangian dual …

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 …

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 …

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 …

The main objective of this paper is to derive the optimality conditions for one type of fuzzy
optimization problems. At the beginning, we define a cone of descent direction for fuzzy …

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 …

In this article, we introduce the idea of $ gH $-weak subdifferential for interval-valued
functions (IVFs) and show how to calculate $ gH $-weak subgradients. It is observed that a …

In this chapter, we propose the concept of generalized Hukuhara (gH)-global subdifferential
for interval-valued function (IVF). To define this concept, we propose the notions of gH-lower …