Abstract
In this paper, we define the new concept of linguistic interval-valued intuitionistic neutrosophic fuzzy numbers and operational laws. We discuss the two aggregation operators, which are defined as linguistic interval-valued intuitionistic neutrosophic fuzzy weighted averaging operator and linguistic interval-valued intuitionistic neutrosophic fuzzy hybrid weighted averaging operator, for collection of data. We define the MAGDM problem under the LIVINF environment. Finally, we define a numerical example.