International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3075 2020 2020 Finding new similarities measures for Type-II Diophantine neutrosophic interval valued soft sets and its basic operations Department of Intelligent Computing & Analytics (ICA), Faculty of Information & Communication Technology, Universiti Teknikal Malaysia Melaka Sharifah Sharifah Faculty of Arts and Science, Yildiz Technical University, Esenler, 34220, Istanbul, Turkey Nasreen Kausar Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India Murugan Palanikumar 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. 2025 2025 505 517 10.54216/IJNS.250145 https://www.americaspg.com/articleinfo/21/show/3075