Neutrosophic Pythagorean Cubic Soft Sets

B.Lydia; A.Stanis Arul Mary; R.Radha

Authors

B.Lydia Department of Mathematics, Nirmala College for Women, Coimbatore (TN), India,
A.Stanis Arul Mary Assistant Professor, Department of Mathematics, Nirmala College for Women, Coimbatore (TN), India.
R.Radha Associate Professor, Department of Science and Humanities, RVS Technical Campus, Coimbatore(TN), India..

Keywords:

NCPSS, INPCSS, ENPCSS, OR, AND.

Abstract

In this paper we introduce the notion of Neutrosophic Pythagorean Cubic Soft Sets
(NPCSS). Here we define Internal Neutrosophic Pythagorean Cubic Soft Sets (INPCSS),
External Neutrosophic Pythagorean Cubic Soft Sets (ENPCSS) and also propose the new idea of
1
3
INPCSS (or 2
3
ENPCSS), and 2
3
INPCSS (1
3
ENPCSS). Further Neutrosophic Pythagorean Cubic
Soft Sets as P-order, P-union, P-intersection as well as R-order, R-union, R-intersection are introduced
for Neutrosophic Pythagorean Cubic Soft Sets which act as a tool to study some of their properties of
newly introduced sets. And also, in this paper we introduce the concepts of P−OR and P−AND for
Neutrosophic Pythagorean Cubic Soft Sets and explore their fundamental properties. We establish
that the P−union and P−intersection of two Internal Neutrosophic soft cubic sets also result in Internal
Neutrosophic Pythagorean Cubic Soft Sets. Additionally, we examine the conditions under which
the P−union and P−intersection of two T−External (or I−External, F−External) Neutrosophic soft cubic
sets remain T−External (or I−External, F−External) within the framework of Neutrosophic
Pythagorean Cubic Soft Sets.