The Approximation of Fuzzy Number Value, Ambiguity and Expected Interval

The complexity of the membership function of fuzzy numbers affects the solution to fuzzy problems. When the membership function is relatively complex, it is necessary to use other forms of simple fuzzy numbers to approximate the general fuzzy numbers. In this paper, we mainly use fuzzy sequence to deal with the approximation of general fuzzy numbers. First, we introduce some relevant definitions and properties of fuzzy numbers and define the value, ambiguity and expected interval of the fuzzy number. we use the 1-norm to define the distance between any two fuzzy numbers. In addition, using the given continuous reduction function and its definition of variable upper limited integral function and continuous modulus to help the approximation operation. Using these tools, we can further study the approximation of the value, ambiguity and expected interval of the fuzzy number. Finally, some examples are given to illustrate that the accuracy of the result obtained by keeping the parameter approximation is higher.