Keywords : Neutrosophic set


Pentapartitioned Neutrosophic Pythagorean Set

Radha R.; Stanis Arul Mary

International Research Journal on Advanced Science Hub, 2021, Volume 3, Issue Special Issue ICOST 2S, Pages 62-68
DOI: 10.47392/irjash.2021.041

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.

Quadri Partitioned Neutrosophic Soft Set

Ramesh Kumar S.; Stanis Arul Mary

International Research Journal on Advanced Science Hub, 2021, Volume 3, Issue Special Issue ICOST 2S, Pages 106-112
DOI: 10.47392/irjash.2021.048

The aim of this paper is to introduce the new concept of quadri partitioned neutrosophic soft set and discussed some of its properties.And the focus of this paper is to propose a new notion of quadri partitioned neutrosophic soft set and to study some basic operations and results in quadri partitioned neutrosophic soft set. Further we develop a systematic study on quadri partitioned neutrosophic soft set and obtain various properties induced by them. Some equivalent characterization and inter-relations among them are discussed with counter example.