On the cuts of intuitionistic fuzzy compositions

In some applications the amount of data that must be worked on is quite large, and there needs to be some way of reducing the amount of data an algorithm has to work on. The notion of alpha-cut is very useful in such situations. Intuitionistic fuzzy sets have been defined by Atanassov in 1983 as an extension of fuzzy sets: while fuzzy sets give only a degree of membership, intuitionistic fuzzy sets give both a degree of membership and a degree of non-membership, with the only constraint that their sum must be less than or equal to 1. In a previous paper we have presented an intuitionistic fuzzy version of the triangular compositions of Bandler and Kohout and their improved versions given by De Baets and Kerre. In this paper we discuss the cutworthiness of the intuitionistic fuzzy triangular compositions