Bipolar Fuzzy Graphs with Categorical Properties

DOI

10.1080/18756891.2015.1063243How to use a DOI?

Keywords

Bipolar fuzzy graphs, µ–complement and self –complement, Busy vertex and Free vertex

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 –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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Hossein Rashmanlou
AU  - Sovan Samanta
AU  - Madhumangal Pal
AU  - R.A. Borzooei
PY  - 2015
DA  - 2015/09/01
TI  - Bipolar Fuzzy Graphs with Categorical Properties
JO  - International Journal of Computational Intelligence Systems
SP  - 808
EP  - 818
VL  - 8
IS  - 5
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1063243
DO  - 10.1080/18756891.2015.1063243
ID  - Rashmanlou2015
ER  -