Minimal Solution of Complex Fuzzy Linear Systems

Abstract

This paper investigates the complex fuzzy linear equation Cz~=w~ in which C is a crisp complex matrix and w~ is an arbitrary LR complex fuzzy vector. The complex fuzzy linear system is converted to equivalent high order fuzzy linear system Gx~=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.

Solving Complex Fuzzy Linear Matrix Equations

“…Later, Abbasbandy et al, Allahviranloo et al, and Zheng et al studied some more complicated fuzzy linear systems [9][10][11][12][13][14][15][16][17]. In recent years, new approaches and theories for linear systems in which part or all parameters may be uncertain and can be represented and computed by the fuzzy numbers has been emerging one after another [8,[18][19][20].…”

Minimal Fuzzy Solution of LR Fuzzy Matrix Equation

“…In 2014 , Gong et al [14] investigated the dual fuzzy matrix equations AX+B=CX+D based on LR fuzzy numbers. Recently, Guo et al [15] studied the minimal solution of complex LR fuzzy linear system Cz=w.…”