Complex Fuzzy Linear Systems

In the mathematical modeling of mathematics,economics,engineering calcu-lation and optimization is established that it often easy to calculate problem can be converted to the complex linear system.However,the parameters may be un-certain or vague in the establishment of the actual model,which is often shown as a fuzzy number.Therefore,the investigation of solving the solutions for complex fuzzy linear systems whose elements of coefficient matrix or augmented matrix are complex fuzzy numbers,plays an essential part of the fuzzy mathematics theory.In this paper,the fuzzy approximate solution and its computation methods for two classes of complex fuzzy linear system are discussed.Firstly,this paper introduces the fuzzy sets,the triangular fuzzy number,LR fuzzy number,complex triangular fuzzy number and the basic concept of general-ized inverses,and the definition of the complex LR fuzzy numbers is given.Second-ly,based on complex triangular fuzzy number and complex LR fuzzy number are discussed the approximate solution of complex fuzzy linear system,its solvability conditions are given.Finally,the complex fuzzy matrix equation ZC = W fuzzy minimal solution were investigated.