Zadeh's separation theorem to calculate operations on type-2 fuzzy sets

Abstract

Processing type-2 fuzzy sets is more demanding than processing interval type-2 fuzzy sets or type-1 fuzzy sets. In this paper we propose a method for calculating union and intersection operations using min t-norm and max t-conorm on general type-2 fuzzy sets. The proposed method is based on Zadeh's separation theorem and though is straightforward. The important feature of the algorithm is its simplicity and applicability on the type-2 fuzzy sets with convex membership grades.