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Journal of Applied Mathematics and Computing

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03.08.2021 | Original Research

A study on some operations and products of neutrosophic hypersoft graphs

verfasst von: Muhammad Saeed, Atiqe Ur Rahman, Muhammad Arshad

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 4/2022

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Abstract

Neutrosophic hypersoft set is the combination of neutrosophic set and hypersoft set. It resolves the limitations of intuitionistic fuzzy sets and soft sets for the consideration of the degree of indeterminacy and multi-argument approximate function respectively. In this research article, a novel framework is formulated for handling neutrosophic hypersoft information by combining the theory of neutrosophic hypersoft sets with graphs. Firstly, different types of notions, including neutrosophic hypersoft graphs, strong neutrosophic hypersoft graphs, complete neutrosophic hypersoft graphs, are characterized with the help of numerical examples and graphical representation. Secondly, some products (i.e. Cartesian product, cross product, lexicographic product, strong product) and composition of neutrosophic hypersoft graphs are discussed by employing various methods of their construction. Moreover, some of their related properties are also investigated. Lastly, an application of neutrosophic hypersoft graph is presented to decision making with the help of proposed algorithm.

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Titel: A study on some operations and products of neutrosophic hypersoft graphs
verfasst von: Muhammad Saeed
Atiqe Ur Rahman
Muhammad Arshad
Publikationsdatum: 03.08.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 4/2022
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01614-w

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