Approximate Solutions Of Several Complex LR-trapezoidal Fuzzy Linear Systems

The emergence of a large number of uncertain phenomena and events in the real world has led to the rapid development of fuzzy mathematics for many years.Over the years,in the research on fuzzy number theory and its practice,fuzzy linear systems have attracted the attention of scholars at home and abroad.In this paper,we combine complex numbers with LR-trapezoidal fuzzy numbers,define two kinds of complex LR-trapezoidal fuzzy numbers,and use the complete matrix method to study the solution of several kinds of complex LR-trapezoidal fuzzy linear systems AX=B,where A is an clear coefficient matrix,and B is an arbitrary complex LR-trapezoidal fuzzy number vector.In the calculation process,matrix decomposition is used to expand the complex LR-trapezoidal fuzzy linear systems AX=B to the equivalent high-order real distinct linear system GZ=W for solution,which greatly facilitates the operation.On the basis of the definition of the generalized complex LR-trapezoidal fuzzy numbers,the definitions and sufficient conditions for the existence of strong and weak fuzzy solutions are given.Numerical examples further prove the feasibility and effectiveness of our proposed method.The work of this paper develops the theory of fuzzy linear systems.