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Bipolar Neutrosophic Graphs

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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 369))

Abstract

Graph theory is an important part of Mathematics for solving real-world problems in different fields, including theoretical computer science, engineering, physics, combinatorics and medical sciences. In this chapter, we will first present the concept of bipolar neutrosophic graphs. Then we will discuss operation on bipolar neutrosophic graphs. Next, we will present certain characterization of bipolar neutrosophic graphs by level graphs. Finally, we will present an application of bipolar neutrosophic graphs to decision making.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Gulfam Shahzadi

Authors
  1. Muhammad Akram
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  2. Gulfam Shahzadi
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Corresponding author

Correspondence to Muhammad Akram .

Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey

    Cengiz Kahraman

  2. Department of Industrial Engineering, Istanbul Okan University, Akfirat-Tuzla, Istanbul, Turkey

    İrem Otay

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Akram, M., Shahzadi, G. (2019). Bipolar Neutrosophic Graphs. In: Kahraman, C., Otay, İ. (eds) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Studies in Fuzziness and Soft Computing, vol 369. Springer, Cham. https://doi.org/10.1007/978-3-030-00045-5_7

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