Some results on Bipolar Fuzzy Graph

Subject Areas : Statistics

H. saleh ^{1 *}

1 - Assistant professor, Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

Received: 2018-01-10 Accepted : 2018-11-19 Published : 2018-11-22

Keywords: مجموعه‌های فازی, گراف فازی دوقطبی, گراف فازی دوقطبی قوی, تفاضل متقارن, جمع متقارن,

Abstract :

In this paper, the notion ofgraph operationsdisjunction and symmetric difference on bipolar fuzzy graphs are defined and it is proved that the new graph is a bipolar graph. Furthermore,the new concepts of bipolar fuzzy graphs calledupperstrong and lower strongbipolar fuzzy graphare introduced and some related properties investigated. Finally, an application of bipolar fuzzy graph is explnaid.

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