Triangular Fuzzy Pentapartitioned Neutrosophic Set and Its Properties

 The main objective of the paper is to hybridize the triangular fuzzy number and the penta-partitioned neutrosophic set and develop the triangular fuzzy penta-partitioned neutrosophic set. The triangular fuzzy number has great potential to express uncertainty systematically. So, the combination of the triangular fuzzy number and pentapartitioned neutrosophic set is an intelligent mathematical tool that will be a helpful mathematical tool for decision-making. We define some operations on the triangular fuzzy penta-partitioned neutrosophic sets such as union, intersection, and complement. We establish some fundamental properties of the developed triangular fuzzy penta-partitioned neutrosophic sets.