Operations on type-2 fuzzy sets based on the set of pseudo-highest intersection points of convex fuzzy sets

One of the main burdens of using general type-2 fuzzy sets relates to the cost of their basic operations. In this paper we will discuss how the set of pseudo highest intersection points of two convex fuzzy sets can be used to provide algorithms for performing union and intersection operations on convex type-2 fuzzy sets with min and product t-norm and max t-conorm.