Some Fundamental Operations on Interval Valued Neutrosophic Hypersoft Set with Their Properties

Abstract

Multi-criteria decision-making (MCDM) focuses on coordination, choice and planning
issues, including multi-criteria. the neutrosophic soft set cannot handle environments involving
multiple attributes. In order to overcome these obstacles, the neutrosophic hypersoft set (NHSS) and
Interval Value neutrosophic hypersoft set (IVNHSS) are defined. In this paper, we extend the
concept of IVNHSS with basic properties. We also developed some basic operations on IVNHSS
such as union, intersection, addition, difference, Truth-favorite, and False-favorite, etc. with their
desirable properties. Finally, the necessity and possibility operations on IVNHSS with properties
are presented in the following research.