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Directed Fuzzy Networks as a Model to Illicit Flows and Max Flow Min Cut Theorem
- 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.
- Subjects :
- Mathematical optimization
Applied Mathematics
Quality of service
Node (networking)
05 social sciences
Maximum flow problem
Fuzzy set
050301 education
02 engineering and technology
Disjoint sets
Fuzzy logic
Computer Science Applications
Human-Computer Interaction
Max-flow min-cut theorem
Computational Mathematics
Computational Theory and Mathematics
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
Variety (universal algebra)
0503 education
Mathematics
Subjects
Details
- ISSN :
- 17937027 and 17930057
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- New Mathematics and Natural Computation
- Accession number :
- edsair.doi...........9dc79e04bd085bee053ddfc8ad0d6233