Novel Derivations and Application of Complex LR Numbers on Fully Fuzzy Complex Linear System

In this paper, a fully fuzzy complex system of linear equations of the form \(\tilde{A}\tilde{X}=\tilde{B}\) is presented, where \(\tilde{A}\) is an LR fuzzy complex matrix, \(\tilde{X}\) is an unknown LR fuzzy complex vector and \(\tilde{B}\) is a known LR fuzzy complex vector. The definition of its fuzzy complex solution is proposed and discussion on a direct solution method of the fully fuzzy complex system of equation is discussed. Conditions on existence and uniqueness of fuzzy complex solution have been investigated. Numerical examples are presented to justify the applicability of the proposed method.