Least Square Method with Quasi Linearly Interactive Fuzzy Data: Fitting an HIV Dataset

Abstract

In this manuscript we propose a method to fit a dataset with uncertainty. These data are described by interactive fuzzy numbers. The relationship of interactivity is associated with the notion of joint possibility distribution. We focus on a specific type of interactivity namely linear interactivity. We use this concept to introduce a class of fuzzy numbers called quasi linearly interactive fuzzy numbers. We provide an application to fit a dataset of the HIV disease to illustrate the proposed method.