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Neutrosophic Sets and Systems
Article . 2021
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Some Fundamental Operations on Interval Valued Neutrosophic Hypersoft Set with Their Properties

Authors: Rana Muhammad Zulqarnain; Xiao Long Xin; Muhammad Saqlain; Muhammad Saeed; Florentin Smarandache; Muhammad Irfan Ahamad;

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

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Keywords

soft set; neutrosophic set; interval-valued neutrosophic set; hypersoft set; intervalvalued neutrosophic hypersoft set., Soft set; Neutrosophic Set; Interval-valued neutrosophic set; Hypersoft set; Intervalvalued neutrosophic hypersoft set., Electronic computers. Computer science, QA1-939, QA75.5-76.95, Mathematics

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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