The concept of an interval-valued Fermatean fuzzy set (IVFFS). an extension of Fermatean fuzzy sets. is a more resilient and reliable tool for dealing with uncertain and incomplete data in practical applications. The purpose of this paper is to define a triangular interval-valued Fermatean fuzzy number (TIVFFN) and its arithmetic operations. https://www.roneverhart.com/Western-Digital-Re-WD6001FSYZ-6TB-7-2K-RPM-SATA-6Gb-s-128MB-3-5-Hard-Drive/