In this paper, a new definition of intuitionistic fuzzy multisets (IFMS) has been introduced. Algebraic operations on these intuitionistic fuzzy multisets are defined, and their properties under these algebraic operations are studied. The author has also introduced a new notion of complement for an IFMS in which the complement of the original set is also an IFMS. The notion of distance and similarity between two IFMSs has been defined, and their properties have also been studied here. An application of IFMS in solving a medical diagnosis problem has been provided at the end.
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