A study on fuzzy triangle and fuzzy trigonometric properties

Abstract

This paper investigates fuzzy triangle, fuzzy triangular properties, and fuzzy trigonometry. A fuzzy triangle on the plane is constructed by three fuzzy points as its vertices. Using the proposed fuzzy triangle, basic fuzzy trigonometric functions are investigated. The extension principle and the concepts of same and inverse points in fuzzy geometry are used to define all the proposed ideas. It is shown that some well-known trigonometric identities for crisp angles may not hold with proper equality for fuzzy angles. © Springer Nature Singapore Pte Ltd. 2018.