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(Directed) Hypergraphs: q-Rung Orthopair Fuzzy Models and Beyond

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Fuzzy Hypergraphs and Related Extensions

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

Abstract

The q-rung orthopair fuzzy set is a powerful tool for depicting fuzziness and uncertainty, as compared to the Pythagorean fuzzy model. In this chapter, we present concepts including q-rung orthopair fuzzy hypergraphs, \((\alpha , \beta )\)-level hypergraphs, and transversals and minimal transversals of q-rung orthopair fuzzy hypergraphs. We implement some interesting notions of q-rung orthopair fuzzy hypergraphs into decision-making. We describe additional concepts like q-rung orthopair fuzzy directed hypergraphs, dual directed hypergraphs, line graphs, and coloring of q-rung orthopair fuzzy directed hypergraphs.

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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: q-Rung Orthopair Fuzzy Models and Beyond. 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_6

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  • DOI: https://doi.org/10.1007/978-981-15-2403-5_6

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-2402-8

  • Online ISBN: 978-981-15-2403-5

  • eBook Packages: EngineeringEngineering (R0)

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