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Operations on fuzzy graphs
We define the operations of Cartesian product, composition, union, and join on fuzzy subgraphs of graphs G 1 and G 2. If the graph G is formed from G 1 and G 2 by one of these operations, we determine necessary and sufficient conditions for an arbitrary fuzzy subgraph of G also to be formed by the s...
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Published in: | Information sciences 1994, Vol.79 (3), p.159-170 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | We define the operations of Cartesian product, composition, union, and join on fuzzy subgraphs of graphs
G
1 and
G
2. If the graph
G is formed from
G
1 and
G
2 by one of these operations, we determine necessary and sufficient conditions for an arbitrary fuzzy subgraph of
G also to be formed by the same operation from fuzzy subgraphs of
G
1 and
G
2. |
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ISSN: | 0020-0255 1872-6291 |
DOI: | 10.1016/0020-0255(94)90116-3 |