Operations On Type-2 Fuzzy Sets And Fuzzy Truth Value Subalgebras

In this paper,we have studied the theories of type-2 fuzzy sets.Firstly,we have discussed the operation and properties of convex membership functions of type-2 fuzzy sets.Given the general operation of type-2 fuzzy sets,the maximum properties of the general fuzzy set and the intersection operation are obtained,and the results are compared with the operation results of the previous literature.The properties of the fuzzy true value with monotone function,the maximum properties of the finite and finite intersection of the type-2 fuzzy set under the minimum t-norm and the maximum t-conorm are given.The finite intersection properties of the type-2 convex fuzzy set under the minimum t-norm and the maximum t-conorm are discussed.Finally,some subalgebras of algebraic M are given and some properties on these subalgebras are discussed.Some subalgebras of type-2 fuzzy true value algebras are studied and some sufficient and necessary conditions for subalgebra are given,and two order relations and the irreducible elements on subalgebras are discussed.