Introduction

Abstract

In spite of the introduction of fuzzy set theory in 1965 there have been a very few studies focusing on fuzzy geometrical ideas, the geometry of fuzzy sets. Among them only Buckley and Eslami (1997a, b) gave some ideas on the construction and representation of the basic fuzzy geometrical entities in a mathematical framework. This book introduces analytical fuzzy geometry in two-dimensional plane. Some preliminaries related to fuzzy set theory, which are needed to describe the construction of fuzzy shapes and hence its graphical and mathematical representations, are given in this chapter. © 2019, Springer Nature Switzerland AG.