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

Khizar Hayat, Muhammad Irfan Ali, Bing-Yuan Cao, Xiao-Peng Yang
2017 Advances in Fuzzy Systems  
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
more » ... xamples to demonstrate these new concepts. Finally, we describe an application of type-2 soft graphs in communication networks and present procedure as an algorithm.
doi:10.1155/2017/6162753 fatcat:6fdql6oibrah3l7rou2zfaw4lu