2008Unpublished venueRequires access

A hypergraph model of granular computing

Guang Chen, Ning Zhong, Yiyu Y. Yao

Open publisher page 30 citations

Abstract

A hypergraph model of granular computing is proposed. In this model, a vertex refers to an object, a hyperedge corresponds to a granule, a hypergraph relates to a set of granules and their relations in a specific granularity, and a series of hypergraphs correspond to a hierarchical structure. The mapping between hypergraphs presents the relations of the granules in different levels. One can solve a problem by focusing on different levels of details, and move easily among different levels at various stages. Based on our discussion, the hypergraph model is an effective representation method of granular structures and a useful way for problem solving.

About this research paper

What this paper is about

A hypergraph model of granular computing is proposed. In this model, a vertex refers to an object, a hyperedge corresponds to a granule, a hypergraph relates to a set of granules and their relations in a specific granularity, and a series of hypergraphs correspond to a hierarchical structure. The mapping between hypergraphs presents the relations of the granules in different levels. One can solve a problem by focusing on different levels of details, and move easily among different levels at various stages. Based on our discussion, the hypergraph model is an effective representation method of granular structures and a useful way for problem solving.

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OpenAlex reports 30 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A hypergraph model of granular computing is proposed. In this model, a vertex refers to an object, a hyperedge corresponds to a granule, a hypergraph relates to a set of granules and their relations in a specific granularity, and a series of hypergraphs correspond to a hierarchical structure. The mapping between hypergraphs presents the relations of the granules in different levels. One can solve a problem by focusing on different levels of details, and move easily among different levels at various stages. Based on our discussion, the hypergraph model is an effective representation method of granular structures and a useful way for problem solving.

Key concepts: Hypergraph, Granular computing, Granularity, Computer science, Theoretical computer science, Vertex (graph theory), Representation (politics), Set (abstract data type)

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