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Bipolar Fuzzy (Directed) Hypergraphs

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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 the concept of bipolar fuzzy hypergraphs and directed hypergraphs. We describe certain operations on bipolar fuzzy directed hypergraphs, which include addition, multiplication, vertex-wise multiplication, and structural subtraction.

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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

Authors
  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). Bipolar Fuzzy (Directed) Hypergraphs. 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_4

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  • DOI: https://doi.org/10.1007/978-981-15-2403-5_4

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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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