This paper aims to simplify the understanding and use of Type-2 Fuzzy Sets (T2FS) by addressing several challenges: the complexity of their three-dimensional nature, the lack of a precise terminology, the reliance on the Extension Principle for operations, and computational complexity. The authors introduce a set of well-defined terms to facilitate communication and precise definitions about T2FS. They present a new representation for T2FS using "wavy slices," which simplifies the derivation of formulas for union, intersection, and complement without using the Extension Principle. The paper also discusses the application of these concepts to interval type-2 fuzzy sets, which are widely used due to their simplicity. The authors conclude by emphasizing the practical benefits of their approach in making T2FS more accessible and useful in various applications.This paper aims to simplify the understanding and use of Type-2 Fuzzy Sets (T2FS) by addressing several challenges: the complexity of their three-dimensional nature, the lack of a precise terminology, the reliance on the Extension Principle for operations, and computational complexity. The authors introduce a set of well-defined terms to facilitate communication and precise definitions about T2FS. They present a new representation for T2FS using "wavy slices," which simplifies the derivation of formulas for union, intersection, and complement without using the Extension Principle. The paper also discusses the application of these concepts to interval type-2 fuzzy sets, which are widely used due to their simplicity. The authors conclude by emphasizing the practical benefits of their approach in making T2FS more accessible and useful in various applications.