Bipolar Fuzzy (Directed) Hypergraphs

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


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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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of the PunjabLahorePakistan
  2. 2.Department of MathematicsUniversity of the PunjabLahorePakistan

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