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

Authors :
Sunil Mathew
John N. Mordeson
Source :
New Mathematics and Natural Computation. 13:219-229
Publication Year :
2017
Publisher :
World Scientific Pub Co Pte Lt, 2017.

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.

Details

ISSN :
17937027 and 17930057
Volume :
13
Database :
OpenAIRE
Journal :
New Mathematics and Natural Computation
Accession number :
edsair.doi...........9dc79e04bd085bee053ddfc8ad0d6233