Fuzzy Influence Graphs

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, 311-325

Abstract: Trafficking in persons is the most heinous and condemnable organized crime of our time. The eradication of this crime must involve the full cooperation of all. In this paper, we provide a mathematical method to model such cooperation. We use a new concept in fuzzy graph theory, namely, that of incidence. We introduce fuzzy influence graph and characterize influence cutpairs in fuzzy influence graphs since their removal increases the number of connected components of a fuzzy network and thus weakens the potential flow in the network. Some of the properties of influence pairs and influence cutnodes are also studied.

Keywords: Fuzzy incidence graph; fuzzy influence graph; fuzzy influence tree (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/S1793005717400129

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