On Some Algebraic Structures of Type 2 Fuzzy Multisets

Many problems arise in practical applications when data is extracted from a group of experts, all of whom do not collectively agree. The theory of Type 2 Fuzzy Multisets is capable of modelling these types of uncertainties in decision making. The purpose of this paper is to introduce the study of various algebraic structures of Type 2 Fuzzy Multisets. As a beginning of this study, the concept of Type 2 Fuzzy Multigroup is introduced and its various properties are discussed. The authors also introduced the concept of normal Type 2 Fuzzy Multigroups which serves as a powerful tool in the study of group structures of Type 2 Fuzzy Multisets. KeywORdS Abelian Type 2 Fuzzy Multiset, Conjugate Type 2 Multigroups, Level Set, Multisets, Normal Type 2 Fuzzy Multigroups, Normalizer, Type 2 Fuzzy Multigroups, Type 2 Fuzzy Multisets, Type 2 Fuzzy Sets