Symmetric trapezoidal approximations of fuzzy numbers under a general condition

Abstract The symmetric triangular approximation under a general condition was first proposed by Ban and Coroianu 2016. Ban and Coroianu completed the calculation and provided a computational formula. However, symmetric trapezoidal approximation cannot be deduced from their conclusions. The aim of this paper is to continue and foster the development of this topic. The calculation for the symmetric trapezoidal approximations of a fuzzy number under a general condition will be completed in this paper. Some applications related with value, expected value and ambiguity, which are important parameters, are given too. Numerical examples are given and the quantitative improvement in approximation is also addressed.