GRANULATION OF HYPERNETWORK MODELS UNDER THE Q-RUNG PICTURE FUZZY ENVIRONMENT

Granulation of Hypernetwork Models under the q-Rung Picture Fuzzy Environment

Granulation of Hypernetwork Models under the q-Rung Picture Fuzzy Environment

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In this paper, we define q-rung picture fuzzy hypergraphs and illustrate the formation of granular structures using q-rung picture fuzzy hypergraphs and level hypergraphs.Further, we define the q-rung picture fuzzy equivalence relation and q-rung picture fuzzy hierarchical quotient space structures.In particular, a q-rung picture fuzzy hypergraph and hypergraph combine a set of granules, and a hierarchical structure is formed corresponding to LEMON JUICE ORG the series of hypergraphs.The mappings between the q-rung picture fuzzy hypergraphs depict the Collections relationships among granules occurring at different levels.

The consequences reveal that the representation of the partition of the universal set is more efficient through q-rung picture fuzzy hypergraphs and the q-rung picture fuzzy equivalence relation.We also present an arithmetic example and comparison analysis to signify the superiority and validity of our proposed model.

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