Domination of Bipolar Fuzzy Graphs in Various Settings

被引：0
作者：
Shu Gong
Gang Hua
Wei Gao
机构：
[1] China University of Mining and Technology,School of Information and Control Engineering
[2] Guangdong University Science and Technology,Department of Computer Science
[3] Yunnan Normal University,School of Information Science and Technology
来源：
International Journal of Computational Intelligence Systems | / 14卷
关键词：
Fuzzy set; Fuzzy graph; Bipolar fuzzy graph; Dominating set; Domination number;
D O I：
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中图分类号：
学科分类号：
摘要：
Bipolar 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.
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