# Expansion of Generalized Hukuhara Differentiable Interval Valued Function

## TL;DR

This paper introduces a new concept of μ-monotonicity for interval-valued functions in higher dimensions and develops their expansion using generalized Hukuhara differentiability, supported by theoretical results and examples.

## Contribution

It presents a novel μ-monotonic property and extends the expansion of higher-dimensional interval-valued functions using generalized Hukuhara differentiability.

## Key findings

- Introduction of μ-monotonic property for interval functions
- Development of expansion formulas in higher dimensions
- Validation through multiple illustrative examples

## Abstract

In this article, the concept of $\mu-$ monotonic property of interval-valued function in higher dimension is introduced. Expansion of interval-valued function in higher dimension is developed using this property. Generalized Hukuhara differentiability is used to derive the theoretical results. Several examples are provided to justify the theoretical developments.