4.6 Article

Fuzzy topological structures via fuzzy graphs and their applications

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Summary: In this article, neighborhood systems are used to approximate graphs as finite topological structures. New types of eight neighborhoods, called j-adhesion neighborhoods, are constructed for vertices of any graph. The concepts of Allam et al. and Yao are extended through j-adhesion neighborhoods, and new types of j-lower and j-upper approximations for subgraphs of a given graph are investigated. The accuracy of these approximations is calculated and a comparison between accuracy measures and boundary regions for different types of approximations is discussed. Algorithms are introduced to generate j-adhesion neighborhoods and rough sets on graphs, and a chemical example is used to illustrate the proposed methods.

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