Hypergraphs in Intuitionistic Fuzzy Environment

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


In this Chapter, we define intuitionistic fuzzy hypergraphs, dual intuitionistic fuzzy hypergraphs, intuitionistic fuzzy line graphs, and 2-section of an intuitionistic fuzzy hypergraph. We describe some applications of intuitionistic fuzzy hypergraphs in planet surface networks, intersecting communities in a social network, grouping of incompatible chemical substances, and clustering problems. We design certain algorithms to construct dual intuitionistic fuzzy hypergraphs, intuitionistic fuzzy line graphs, and the selection of objects in decision-making problems. Further, we present the concept of intuitionistic fuzzy directed hypergraphs and complex intuitionistic fuzzy hypergraphs. This Chapter is basically due to [2, 3, 6, 12, 14, 15, 17, 18].


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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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