Directed Fuzzy Networks as a Model to Illicit Flows and Max Flow Min Cut Theorem

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

New Mathematics and Natural Computation (NMNC), 2017, vol. 13, issue 03, 219-229

Abstract: Directed fuzzy networks are introduced in this paper. They are normalized node capacitated networks and provide a good platform to model different types of complicated flows in nature. A directed fuzzy network version of Menger’s theorem and the celebrated Max flow Min cut theorem are also provided. Since the maximum flow through minimum number of directed internally disjoint paths is important in quality of service (QoS) problems in networking, the results in this paper can be applied to a wide variety of problems.

Keywords: Fuzzy set; fuzzy graph; directed fuzzy network; human trafficking (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S1793005717400075

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