Research Article

Bipolar Fuzzy Trees

Volume: 4 Number: 3 September 30, 2016
EN

Bipolar Fuzzy Trees

Abstract

Connectivity has an important role in different disciplines of computer science including computer network. In the design of a network, it is important to analyze connections by the levels. The structural properties of bipolar fuzzy graphs provide a tool that allows for the solution of operations research problems. In this paper, we introduce various types of bipolar fuzzy bridges, bipolar fuzzy cut-vertices, bipolar fuzzy cycles and bipolar fuzzy trees in bipolar fuzzy graphs, and investigate some of their properties. Most of these various types are defined in terms of levels. We also describe comparison of these types.


Keywords

References

  1. M. Akram, Bipolar fuzzy graphs, Information Sciences 181 (2011) 5548-5564.
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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Adeel Farooq This is me
Pakistan

Publication Date

September 30, 2016

Submission Date

March 2, 2016

Acceptance Date

March 17, 2016

Published in Issue

Year 2016 Volume: 4 Number: 3

APA
Akram, M., & Farooq, A. (2016). Bipolar Fuzzy Trees. New Trends in Mathematical Sciences, 4(3), 58-72. https://izlik.org/JA97AG89JL
AMA
1.Akram M, Farooq A. Bipolar Fuzzy Trees. New Trends in Mathematical Sciences. 2016;4(3):58-72. https://izlik.org/JA97AG89JL
Chicago
Akram, Muhammad, and Adeel Farooq. 2016. “Bipolar Fuzzy Trees”. New Trends in Mathematical Sciences 4 (3): 58-72. https://izlik.org/JA97AG89JL.
EndNote
Akram M, Farooq A (September 1, 2016) Bipolar Fuzzy Trees. New Trends in Mathematical Sciences 4 3 58–72.
IEEE
[1]M. Akram and A. Farooq, “Bipolar Fuzzy Trees”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 58–72, Sept. 2016, [Online]. Available: https://izlik.org/JA97AG89JL
ISNAD
Akram, Muhammad - Farooq, Adeel. “Bipolar Fuzzy Trees”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 58-72. https://izlik.org/JA97AG89JL.
JAMA
1.Akram M, Farooq A. Bipolar Fuzzy Trees. New Trends in Mathematical Sciences. 2016;4:58–72.
MLA
Akram, Muhammad, and Adeel Farooq. “Bipolar Fuzzy Trees”. New Trends in Mathematical Sciences, vol. 4, no. 3, Sept. 2016, pp. 58-72, https://izlik.org/JA97AG89JL.
Vancouver
1.Muhammad Akram, Adeel Farooq. Bipolar Fuzzy Trees. New Trends in Mathematical Sciences [Internet]. 2016 Sep. 1;4(3):58-72. Available from: https://izlik.org/JA97AG89JL