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Advances in Fuzzy Sets and Systems

Abstract:
In this paper, lower truncation

and upper truncation

of a fuzzy graph G are defined. It is proved that when G is a strong (complete) fuzzy graph, then

and

are strong (complete) fuzzy graphs. It is proved by means of examples that converse need not be true. Necessary and sufficient conditions for

and

to be strong (complete) fuzzy graphs are obtained. Also the regularity property of

as well as of

are studied.

Keywords and phrases: fuzzy graph, lower truncation, upper truncation, strong fuzzy graph, complete fuzzy graph, adjacency sequence of a vertex, regular fuzzy graph.

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P-ISSN: 0973-421X

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