Dominance relation similarity measure based on fuzzy hypergraph dominance matrix

Abstract

Similarity measures play an important role in ambiguous environments. Fuzzy hypergraph theory can carry out relatively rich information description and operation in the process of dealing with uncertain problems. The dominance matrix of the fuzzy hypergraph describes the dominance relationship of the attributes of different objects in the information system composed of the fuzzy hypergraph. In this paper, by constructing the dominance matrix of fuzzy hypergraphs, the Euclidean distance is used to solve the similarity of the dominance relationship between the information systems constructed by different fuzzy hypergraphs. By discussing the relationship between fuzzy sets and fuzzy hypergraphs, an algorithm for solving the similarity of dominant relations between fuzzy hypergraphs is proposed. In order to test the efficiency and reliability of the method, this paper uses multiple examples and solves it with the proposed method, which proves the rationality and effectiveness of the proposed method.