A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications

Joint Authors

Cao, Bing-Yuan
Ali, M. I.
Yang, Xiao-Peng
Hayat, Khizar

Source

Advances in Fuzzy Systems

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-10-18

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

The correspondence between a vertex and its neighbors has an essential role in the structure of a graph.

Type-2 soft sets are also based on the correspondence of primary parameters and underlying parameters.

In this study, we present an application of type-2 soft sets in graph theory.

We introduce vertex-neighbors based type-2 soft sets over X (set of all vertices of a graph) and E (set of all edges of a graph).

Moreover, we introduce some type-2 soft operations in graphs by presenting several examples to demonstrate these new concepts.

Finally, we describe an application of type-2 soft graphs in communication networks and present procedure as an algorithm.

American Psychological Association (APA)

Hayat, Khizar& Ali, M. I.& Cao, Bing-Yuan& Yang, Xiao-Peng. 2017. A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications. Advances in Fuzzy Systems،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1121822

Modern Language Association (MLA)

Hayat, Khizar…[et al.]. A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications. Advances in Fuzzy Systems No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1121822

American Medical Association (AMA)

Hayat, Khizar& Ali, M. I.& Cao, Bing-Yuan& Yang, Xiao-Peng. A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications. Advances in Fuzzy Systems. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1121822

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1121822