Tolerance fuzzy graphs

Article type: Research Article

Authors: Crnković, Dean | Švob, Andrea^{; *}

Affiliations: Faculty of Mathematics, University of Rijeka, Radmile Matejčić 2, Rijeka, Croatia

Correspondence: [*] Corresponding author. Andrea Švob, Faculty of Mathematics, University of Rijeka, Radmile Matejčić 2, 51000 Rijeka, Croatia. E-mail: [email protected]., ORCID: 0000-0001-6558-5167

Abstract: Tolerance graphs were introduced in 1982 by M. C. Golumbic and C. L. Monma as a generalization of interval graphs. In this paper, we introduce tolerance fuzzy graphs as a generalization of tolerance graphs, and apply them to a modeling of a transmission of airborne diseases.

Keywords: tolerance graph, fuzzy graph, random graph, airborne disease

DOI: 10.3233/JIFS-231606

Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 3, pp. 4023-4029, 2023