Pentapartitioned Neutrosophic Soft Set with Interval  Membership

Mithun Datta; Kalyani Debnath; Surapati Pramanik

Authors

Mithun Datta Department of Mathematics, ICFAI University Tripura, India, PIN-799210;
Kalyani Debnath Department of Mathematics, NIT Agartala, Tripura, India, PIN-799046;
Surapati Pramanik Nandalal Ghosh B.T. College, Panpur, Narayanpur, Dist-North 24 Parganas, West Bengal, India,PIN-743126;

Keywords:

Neutrosophic set, pentapartitioned neutrosophic set, interval valued pentapartitioned neutrosophic set, soft set, interval valued pentapartitioned neutrosophic soft set.

Abstract

In this article, the concept of Interval valued pentapartitioned neutrosophic soft set (IVPNSS) has
been introduced, which is a hybrid method by combining Pentapartitioned Neutrosophic set and Interval valued
soft set. IVPNSS is an ordered pair of a function and an interval valued pentapartitioned neutrosophic set,
which is the domain of the function and co-domain is the assembly of all the interval valued pentapartitioned
neutrosophic sets (IVPNS). Additionally, some basic operations on IVPNSSs have been defined which plays
an imperative role in decision making processes. Some useful properties of IVPNSS are also presented in the
article. In the end, the article addresses the strength and drawbacks of the proposed method and the concluding
remarks are presented to signify the future scope in this area

DOI: 10.5281/zenodo.14597611