Abstract
In this paper, we define the new concepts of a triangular neutrosophic cubic linguistic hesitant fuzzy number (TNCLHFN), the basic operational relations of TNCHLFNs, and the score function of TNCLHFNs. Then, we develop a triangular neutrosophic cubic linguistic hesitant fuzzy weighted arithmetic averaging (TNCLHFWAA) operator and a triangular neutrosophic cubic linguistic hesitant fuzzy weighted geometric averaging (TNCLHFWGA) operator to aggregate TNCLHFN information and investigate their properties. Furthermore, a multiple attribute decision-making method based on the TNCLHFWAA and TNCLHFWGA operators, and the score function of TNCLHFN is established under a TNCLHFN environment. Finally, an illustrative example of investment alternatives is given to demonstrate the application and effectiveness of the developed approach. Triangular neutrosophic cubic linguistic hesitant fuzzy number with a wider scope of applications, and hence, the motivation for investigating into its applicability in different diseases in medical patients.