t-Norm Fuzzy Graphs

John N. Mordeson () and Sunil Mathew ()
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John N. Mordeson: Department of Mathematics, Creighton University, Omaha, NE 68178, USA
Sunil Mathew: Department of Mathematics, National Institute of Technology Calicut, Kozhikode 673601, Kerala, India

New Mathematics and Natural Computation (NMNC), 2018, vol. 14, issue 01, 129-143

Abstract: We generalize the definition of a fuzzy graph by replacing minimum in the basic definitions with an arbitrary t-norm. The reason for this is that some applications are better modeled with a t-norm other than minimum. We develop a measure on the susceptibility of trafficking in persons for networks by using a t-norm other than minimum. We also develop a connectivity index for a fuzzy network. In one application, a high connectivity index means a high susceptibility to trafficking. In the other application, we use a method called the eccentricity of an origin country to determine the susceptibility of a network to trafficking in persons. The models rest on the vulnerabilities and the government responses of countries to trafficking.

Keywords: Fuzzy graph theory; t-norm; human trafficking; connectivity index; vulnerability; government response; eccentricity (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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DOI: 10.1142/S1793005718500096

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