The Theory of Triangle Type-2 Fuzzy Sets
Zehua Lv, Hai Jin, Pingpeng Yuan · 2009
Interval type-2 fuzzy set is the most popular kind of type-2 fuzzy set, its characteristic is that all the secondary membership functions equal to 1. Though interval type-2 fuzzy sets can reduce the calculation complexity than other type-2 fuzzy sets, it loses much fuzzy information simultaneously. In order to solve this problem we propose a novel theory of triangle type-2 fuzzy sets, the formulas for union, intersection and complement of triangle type-2 fuzzy sets are derived and proven in detail. In addition, the relationship and the conversion between triangle type-2 fuzzy sets and interval type-2 fuzzy sets are discussed.