A New Type-2 Soft Set: Type-2 Soft Graphs and Their Applications. (18th October 2017)

• Record Type: Journal Article
• Authors: Hayat, Khizar; Ali, Muhammad Irfan; Cao, Bing-Yuan; Yang, Xiao-Peng
• Other Names: Honda Katsuhiro Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2017(2017)
• Publication Date: 2017-10-18
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2017/6162753
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : 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 overX (set of all vertices of a graph) andE (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.