A new type-2 soft set: type-2 soft graphs and their applications
type: Item
instance of: scholarly article
title: A new type-2 soft set: type-2 soft graphs and their applications
zbMATH Open document ID: 1397.05149
DOI: 10.1155/2017/6162753
author: Khizar Hayat
author: M. Irfan Ali
author: Bingyuan Cao
author: Xiao-Peng Yang
published in: Advances in Fuzzy Systems
publication date: 2018-10-05T00:00:00Z
review text: 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 \(\mathcal{E}\) (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.
Mathematics Subject Classification ID: 05C72
Mathematics Subject Classification ID: 05C76
Mathematics Subject Classification ID: 05C90
zbMATH DE Number: 6947553
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6162753
OpenAlex ID: W2766956416
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description: scientific article; zbMATH DE number 6947553