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

Authors

  • Rana Muhammad Zulqarnain School of Mathematics, Northwest University Xi’an 710127, China
  • Xiao Long Xin School of Mathematics, Northwest University Xi’an 710127, China
  • Muhammad Saqlain Department of Mathematics, University of Management and Technology, Lahore, Pakistan
  • Muhammad Saeed Department of Mathematics, University of Management and Technology, Lahore, Pakistan
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
  • Muhammad Irfan Ahamad College of Urban and Environmental Sciences, Northwest University, Xian 710127, China

Keywords:

Soft set, Neutrosophic Set, Interval-valued neutrosophic set, Hypersoft set, Intervalvalued neutrosophic hypersoft set

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.

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Published

2021-04-24

Issue

Vol. 40 (2021): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Zulqarnain, R. M., Xin, X. L. ., Saqlain, M. ., Saeed, M. ., Smarandache, F., & Ahamad, M. I. . (2021). Some Fundamental Operations on Interval Valued Neutrosophic Hypersoft Set with Their Properties. Neutrosophic Sets and Systems, 40, 134-148. https://fs.unm.edu/nss8/index.php/111/article/view/1220

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