Fuzzy geometry: Perpendicular to fuzzy line segment

In this study, we define the perpendicular to fuzzy line segment (PFLS) which intersects a given fuzzy line segment (FLS) normally at a specified fuzzy point. In order to construct PFLS, some spatial transformations of fuzzy points, such as Translation, Rotation, Expansion, Contraction and Reflection (TRECoRe) are needed and have also been defined here. The concept of PFLS has been justified and formulated in three different ways with the help of same and inverse point theory of fuzzy points. Their properties and interrelations are also investigated. The area of a fuzzy triangle has been calculated with the proposed methodology.