SETTING THE α-CUT OF FUZZY QUATERNION NUMBERS THROUGH GRADUAL QUATERNION NUMBERS

摘要

Recently the notion of Quaternion Fuzzy Numbers (QFN) was introduced in the literature. The Quaternion Algebra provides applications in many fields, like the representation of rotation and translation of a rigid body in three-dimensional space. The purpose of this paper is to briefly present the Quaternion Gradual Number(QGN) concept introduced in and shown as the α-cut set of QFN can be represented by these numbers.