Fuzzy Line

Abstract

In conventional Euclidean geometry, a straight line is obtained by extending a line segment bi-infinitely (second postulate of Euclid). Thus, a line is the locus of a point along a fixed direction. The slope of the line determines its direction and it is the inclination angle of the tangent to the positive x-axis. Any linear equation of two variables represents a straight line. But in fuzzy geometry a fuzzy line may not be expressed as a fuzzy linear equation. This chapter mainly addresses the questions: What is a fuzzy line? How to construct a fuzzy line? And what is the mathematical form of fuzzy line? © 2019, Springer Nature Switzerland AG.