Triangular approximations of fuzzy number with value and ambiguity functions

For any fuzzy number value and ambiguity are very important, hence we propose a method for nding the nearest triangular approximations of fuzzy number by denitions of value and ambiguity functions. Initially, we dene the value and ambiguity functions for each fuzzy number. This evident that, two fuzzy numbers will be close if functions of value and ambiguity is close, therefor for nding nearest triangular fuzzy number of any fuzzy number we nd the nearest value and ambiguity functions by least square approach, such that the computational complexity is less than other methods. At last, we show some examples of fuzzy numbers and its triangular approximation obtained by this method.