Approximate Solutions Of Two Kinds Of Inconsistent Fuzzy Matrix Equations Based On LR Fuzzy Numbers

In daily life production practice and scientific experiments,we often encounter some phenomenon of fuzzy concept.For example,the uncertainty of measurement data and the uncertainty generated in the analysis process can sometimes be ex-pressed and calculated by fuzzy numbers,which prompts us to start to study some practical problems characterized by fuzzy numbers.In recent years,more and more scholars begin to pay attention to fuzzy matrix equation due to the universality of application of matrix system and the uncertainty of some parameters.In this paper,we study the calculation methods of two kinds of incompatible matrix equations based on LR fuzzy numbers.Using the complete matrix method,the solution method of incompatible LR fuzzy matrix equation is discussed,and on this basis,the approximate calculation formula of incompatible LR complex fuzzy matrix equation is constructed.The concept and algebraic operation of LR fuzzy matrix are put forward respectively,the calculation models of two kinds of fuzzy matrix equations are established,the unified expression of fuzzy solution calculation is constructed,and the sufficient conditions of strong fuzzy solution are analyzed.Numerical examples show that our calculation method is feasible and effective.Our work enriches and develops the theory of fuzzy linear systems.