Product of bipolar fuzzy graphs and their degree

The concepts of graph theory are applied in many areas of computer science including data mining, image segmentation, clustering, image capturing and networking. It is also known that lots of uncertainties occur in these areas. To handle the uncertainty that occurs in graph theory, fuzzy graph theor...

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Published inInternational journal of general systems Vol. 45; no. 1; pp. 1 - 14
Main Authors Rashmanlou, Hossein, Samanta, Sovan, Pal, Madhumangal, Borzooei, Rajab Ali
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.01.2016
Taylor & Francis LLC
Subjects
Cartesian product
composition
Data mining
degree of a vertex
Fuzzy
Fuzzy sets
Graph theory
Graphs
Mathematical analysis
normal product
tensor product
Tensors
Uncertainty
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ISSN0308-1079
1563-5104
DOI10.1080/03081079.2015.1072521

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Summary:The concepts of graph theory are applied in many areas of computer science including data mining, image segmentation, clustering, image capturing and networking. It is also known that lots of uncertainties occur in these areas. To handle the uncertainty that occurs in graph theory, fuzzy graph theory is successfully used in many problems. A bipolar fuzzy set is a generalization of the fuzzy set. In this paper, two new operations on bipolar fuzzy graphs, viz. normal product and tensor product, are defined. Also, the degrees of the vertices of the resultant graphs which are obtained from two given bipolar fuzzy graphs and using the operations Cartesian product, composition, tensor and normal product are determined.
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ISSN:0308-1079
1563-5104
DOI:10.1080/03081079.2015.1072521