Discussion On Solution Of Joint Fuzzy Extension Of The Multixariate Rational Function

The problem on fuzzy arithmetic with constraints existing in the operation of fuzzy numbers is finded in recent years and given important discussion. fuzzy arithmetic with constraints in many branches of operations research is an important place. Therefore, solving fuzzy arithmetic with identity constraints has a very important significance for theoretical and practical application. This paper introduces the fuzzy structured element theory, and puts forward the solving method of fuzzy arithmetic with constraints(joint fuzzy extension of rational function )and fuzzy equations.Firstly, this paper puts forward the solving method of joint fuzzy extension of a function standardized of several variables and single variable function with identity constraints by the ralationship between joint fuzzy extension and natural fuzzy extension of rational function and multivariate extension principle. Operational result and membership function are analyzed representation based on the method of fuzzy structured element;common multivariate rational function is solved theoretically by solving multivariate function extremum.Secondly, in this paper,a method of solving an equation involving both fuzzy arithmetic with identity constraints and fuzzy arithmetic with equality constraints is put forward by combing fuzzy arithmetic with equality constraints with joint fuzzy extension of rational function of several variables. Using the method of fuzzy structured element ,operational result and membership function are analyzed representationFinally, A new fuzzy constraints linear equations is defined and according to the structured element method, solving method of fuzzy constraints linear equations is given, moreover, a numerical example is designed.The solving methods of joint fuzzy extension of rational function put forward in this thesis simplify fuzzy operation and expression of a fuzzy solution, based on fuzzy structured element theory, which lay the solid foundation for the research of basic fuzzy mathematics theory and the wide application of practical problems.