Bipolar Fuzzy Graphs with Categorical Properties

Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. In this paper, we discussed some properties of the μ —complement of bipolar fuzzy...

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Published inInternational journal of computational intelligence systems Vol. 8; no. 5; pp. 808 - 818
Main Authors Rashmanlou, Hossein, Samanta, Sovan, Pal, Madhumangal, Borzooei, R. A.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 03.09.2015
Springer
Subjects
Bipolar fuzzy graphs
Busy vertex and Free vertex
Research Article
µ–complement and self –complement
Busy vertex and Free vertex
Bipolar fuzzy graphs
μ—complement and self μ—complement
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Abstract Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. In this paper, we discussed some properties of the μ —complement of bipolar fuzzy graphs. Self μ —complement bipolar fuzzy graphs and self weak μ —complement bipolar fuzzy graphs are defined and a necessary condition for a bipolar fuzzy graph to be self μ –complement is given. We defined busy vertices and free vertices in bipolar fuzzy graphs and studied their image under an isomorphism. Categorical properties of bipolar fuzzy graphs are discussed. Also, we investigated some properties of isomorphism on bipolar fuzzy graphs.
AbstractList Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. In this paper, we discussed some properties of the μ —complement of bipolar fuzzy graphs. Self μ —complement bipolar fuzzy graphs and self weak μ —complement bipolar fuzzy graphs are defined and a necessary condition for a bipolar fuzzy graph to be self μ –complement is given. We defined busy vertices and free vertices in bipolar fuzzy graphs and studied their image under an isomorphism. Categorical properties of bipolar fuzzy graphs are discussed. Also, we investigated some properties of isomorphism on bipolar fuzzy graphs.
Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. In this paper, we discussed some properties of the -complement of bipolar fuzzy graphs. Self -complement bipolar fuzzy graphs and self weak -complement bipolar fuzzy graphs are defined and a necessary condition for a bipolar fuzzy graph to be self -complement is given. We defined busy vertices and free vertices in bipolar fuzzy graphs and studied their image under an isomorphism. Categorical properties of bipolar fuzzy graphs are discussed. Also, we investigated some properties of isomorphism on bipolar fuzzy graphs.
Author Borzooei, R. A.
Pal, Madhumangal
Rashmanlou, Hossein
Samanta, Sovan
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Keywords Busy vertex and Free vertex
Bipolar fuzzy graphs
μ—complement and self μ—complement
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Snippet Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining,...
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SubjectTerms Bipolar fuzzy graphs
Busy vertex and Free vertex
Research Article
µ–complement and self –complement
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Title Bipolar Fuzzy Graphs with Categorical Properties
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