Fuzzy Approximate Solutions Of Dual Complex Fuzzy Matrix Equations

In the modeling of mathematics,physics,engineering calculation and statistical analysis,linear system is maturer and easier to calculate.The key of the study is how to transform the problem into matrix linear systems which can be easily solved.However,in the process of research,the uncertainty of some or all parameters is often encountered,which can be represented as a fuzzy number.Therefore,the matrix system involving fuzzy numbers is an important part,of fuzzy mathematics,that is dual fuzzy matrix equations and dual complex fuzzy matrix equations.This paper mainly explores the fuzzy approximate solution of dual fuzzy matrix equations and dual complex fuzzy matrix equations.This paper develops the calculation method of dual fuzzy matrix equations and dual complex fuzzy matrix equations on the basis of matrix method.We firstly introduce the basic concepts of fuzzy set,fuzzy number(triangular fuzzy number and LR-fuzzy number)and Moore-Penrose generalized inverse.Secondly,we discuss the fuzzy approximate solution of complex fuzzy linear equations and dual fuzzy matrix equations,the existence condition of the strong fuzzy solution and calculation method are given accordingly.Finally,we investigate the fuzzy approximate solution of dual complex fuzzy matrix equations,and some numerical examples are given to illustrate our proposed method.