Finding new similarities measures for Type-II Diophantine neutrosophic interval valued soft sets and its basic operations

Sharifah Sakinah Syed ahmad1,∗, Nasreen Kausar2, Murugan Palanikumar3

1Department of Intelligent Computing & Analytics (ICA), Faculty of Information & Communication

Technology, Universiti Teknikal Malaysia Melaka

2Faculty of Arts and Science, Yildiz Technical University, Esenler, 34220, Istanbul, Turkey

3Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical

Sciences, Chennai-602105, India

E-mails: sakinah@utem.edu.my; kausar.nasreen57@gmail.com; palanimaths86@gmail.com

Abstract

The Type-II Diophantine neutrosophic interval valued soft set (Type-II DioNSIVSS) and related similarity measure are presented in this study. An extension of the neutrosophic interval valued soft set (NSIVSS) and the Diophantine fuzzy soft set is the Type-II DioNSIVSS. The suggested measure for Type-II DioNSIVSS assessment. We support a method of solving the problem using the Type-II soft set model. To demonstrate how they can be applied to successfully handle uncertainty-related challenges, illustrative examples are given.

Keywords: Type-II DioNSIVS set; PyNSIVS set; decision making problem