Minimal solution of complex fuzzy linear systems (Q1787472)

Summary: This paper investigates the complex fuzzy linear equation \(C \widetilde{z} = \widetilde{w}\) in which \(C\) is a crisp complex matrix and \(\widetilde{w}\) is an arbitrary LR complex fuzzy vector. The complex fuzzy linear system is converted to equivalent high order fuzzy linear system \(G \widetilde{x} = \widetilde{b}\). A new numerical procedure for calculating the complex fuzzy solution is designed and a sufficient condition for the existence of strong complex fuzzy solution is derived in detail. Some examples are given to illustrate the proposed method.