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

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 v...

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Bibliographic Details
Main Authors: Khizar Hayat, Muhammad Irfan Ali, Bing-Yuan Cao, Xiao-Peng Yang
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2017/6162753
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Summary: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.
ISSN:1687-7101
1687-711X