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(Directed) Hypergraphs for Bipolar Neutrosophic Structures

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Book cover Fuzzy Hypergraphs and Related Extensions

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 390))

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Abstract

In this chapter, we present bipolar neutrosophic hypergraphs and B-tempered bipolar neutrosophic hypergraphs. We describe the concepts of transversals, minimal transversals and locally minimal transversals of bipolar neutrosophic hypergraphs. Furthermore, we put forward some applications of bipolar neutrosophic hypergraphs in marketing and biology. We also introduce bipolar neutrosophic directed hypergraphs, regular bipolar neutrosophic directed hypergraphs, homomorphism, and isomorphism on bipolar neutrosophic directed hypergraphs. To conclude, we describe an efficient algorithm to solve decision-making problems. This chapter is due to [7, 10, 16].

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Authors and Affiliations

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

    Muhammad Akram

  2. Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Anam Luqman

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  1. Muhammad Akram
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  2. Anam Luqman
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Correspondence to Muhammad Akram .

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Akram, M., Luqman, A. (2020). (Directed) Hypergraphs for Bipolar Neutrosophic Structures. In: Fuzzy Hypergraphs and Related Extensions. Studies in Fuzziness and Soft Computing, vol 390. Springer, Singapore. https://doi.org/10.1007/978-981-15-2403-5_10

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  • DOI: https://doi.org/10.1007/978-981-15-2403-5_10

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-2402-8

  • Online ISBN: 978-981-15-2403-5

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