A New Method for Ranking Interval-valued Intuitionistic Trapezoidal Fuzzy Sets(IVITrFS)

An Interval-valued intuitionistic trapezoidal fuzzy set (IVITrFS) is a powerful tool for modelling uncertainty. The ranking of IVITrFS plays a vital role in fuzzy set theory to compare and analyze the given information. An IVITrFS is a special type of Intuitionistic Fuzzy Set (IFS) and interval-valued intuitionistic fuzzy set (IVIFS) with a consecutive domain of real numbers. The existing ranking methods are good at ranking, but there are some cases in which the existing methods fails to rank effectively, and hence there is a need for a new ranking method. With this objective, the proposed ranking method is derived in this study. In this paper, we proposed a new method for ranking IVITrFS from a geometric point of view by defining the improved score function using the concept of centroids. The comparative results shows that the proposed method is innate and effective, very useful to computational Intelligence, decision-making, predictive system analysis, and performance analysis.