Some arithmetic operations on the generalized sigmoidal fuzzy numbers and its application

The objective of this work is to present an alternative method, under the fuzzy environment, for computing the various arithmetic operations of a system using the sigmoidal number. In the literature, authors have used the linear membership function using α-cut approach for finding the membership function of the system, but in the present study, a nonlinear membership function has been taken in the study. The major advantage of the proposed operations is that they do not need the computation of α-cuts of the number and hence becomes successful to solve the real-life problems. The approach has been illustrated with some elementary examples and compared their results with some of the existing approaches. © 2017, Springer International Publishing AG.