Abstract

The aim of this paper is to introduce the concept of Pentapartitioned Neutrosophic Pythagorean Set with truth membership function T, contradiction membership function C, ignorance membership function U and false membership function Fare dependent neutrosophic components and unknown membership function I as an independent neutrosophic component. Pentapartitioned neutrosophic pythagorean set is an extension of  Quadripartitioned neutrosophic pythagorean set. By combining five value neutrosophic logic with neutrosophic pythagorean set, we will obtain Pentapartitioned neutrosophic pythagorean set.The complement, union and intersection of Pentapartitioned neutrosophic pythagorean sets are also discussed in this paper. We establish some of its relative properties of Pentapartitioned neutrosophic pythagorean set.