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Abstract
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In graph theory, operations on fuzzy graphs are very important, one of these cases that is usefull, is operations on level graphs. In this work, we expressed four new operations of Cartesian product, composition, union, and join on interval-valued fuzzy graphs (IVFGs). The main purpose of this article is to introduce the concept of operations on level graph of IVFGs and investigate some of properties on level graph.
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