Discussion on Natural Fuzzy Extension and Joint Fuzzy Extension of the Rational Function

摘要

According to the knowledge of interval analysis, relations between natural fuzzy extension and joint fuzzy extension of rational function are discussed in this paper . On the basis of the natural fuzzy extension of rational function , two solutions to the joint fuzzy extension of rational function are put forward. Based on the structured element method, the fuzzy arithmetic with equality constraints is turned into the operation of two monotone functions with the same monotonic form on [0,1]. From this transition we get analytical expression of joint fuzzy extension of the rational function.