In this paper, we have studied the basic Arithmetic operations for developed parabolic Fuzzy numbers by using the concept of the transmission average, which was already implied in [F. Abbasi et al., A new attitude coupled with Fuzzy thinking to Fuzzy rings and elds, Journal of Intelligent and Fuzzy Systems, 2015] in its rudimentary form and was nally presented in its fully-edged form in [F. Abbasi et al., A new and e cient method for elementary Fuzzy Arithmetic operations on pseudo-geometric Fuzzy numbers, Journal of Fuzzy Set Valued Analysis, 2016]. The major advantage of these operations is that they ndings are closer to reality than extension principle-based Fuzzy Arithmetic operations (in the domain of the membership function) or interval Arithmetic (in the domain of -cuts). A technical example is given to illustrate applying the method. The proposed method can model and analyze the Fuzzy system reliability in a more exible and intelligent manner in comparison with the other methods.