Author:
Gong Shu,Hua Gang,Gao Wei
Abstract
AbstractBipolar fuzzy sets are used to describe the positive and negative of the uncertainty of objects, and the bipolar fuzzy graphs are used to characterize the structural relationship between uncertain concepts in which the vertices and edges are assigned positive and negative membership function values to feature the opposite uncertainty elevation. The dominating set is the control set of vertices in the graph structure and it occupies a critical position in graph analysis. This paper mainly contributes to extending the concept of domination in the fuzzy graph to the bipolar frameworks and obtaining the related expanded concepts of a variety of bipolar fuzzy graphs. Meanwhile, the approaches to obtain the specific dominating sets are presented. Finally, a numeral example on city data in Yunnan Province is presented to explain the computing of domination in bipolar fuzzy graph in the specific application.
Funder
natural science foundation of guangdong province of china
guangdong university of science and technology university major scientific research achievement cultivation program project
guangdong provincial key laboratory of prevention and control for severe clinical animal diseases
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,General Computer Science
Cited by
6 articles.
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