new ‎a‎rithmetic operations on developed parabolic fuzzy numbers and its application‎

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 ecient 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.