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Advances in Fuzzy Sets and Systems

Abstract:
In this paper, strong arc fuzzy graph and neighborhood degree of a node are introduced. The independent domination number

and the independence number

are, respectively, the minimum and maximum cardinalities taken over all maximal independent sets of vertices of G. Our problem is to find an upper bound of

for a strong arc fuzzy graph of order p with minimum neighborhood degree d. Here, we consider the two cases

and

Keywords and phrases: fuzzy graph, domination, domination number, fuzzy independent.

Number of Downloads: 317 | Number of Views: 987

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P-ISSN: 0973-421X

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