A hypergraph, which is a generalization of a graph, has a wide range of applications in various fields such as science, informatics, and management. It can effectively represent real-life decision-making situations. In this study, we define the Choquet integral operator on the hypergraph and propose a multicriteria decision-making method to determine the overall preference order of alternatives in practical decision-making problems.
2020 Mathematics Subject Classification: 05C85, 05C38, 05C05, 05C90