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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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Bibliographic Details
Published in:Information sciences 1994, Vol.79 (3), p.159-170
Main Authors: Mordeson, John N., Chang-Shyh, Peng
Format: Article
Language:English
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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.
ISSN:0020-0255
1872-6291
DOI:10.1016/0020-0255(94)90116-3