In this paper a new definition of adjacency matrix in
the simple graphs is presented that is called fuzzy adjacency matrix,
so that elements of it are in the form of 0 and
n N
n
1 , ∈
that are
in the interval [0, 1], and then some charactristics of this matrix are
presented with the related examples . This form matrix has complete
of information of a graph.
[1] George J. Klir/Bo Yuan, Fuzzy Sets and fuzzy logic. New Jersey 07458,,
U.S.A, 1995.
[2] Zadeh, L. A. 1965, Fuzzy sets, Information and Control 8; 338-353.
[3] J. A. Bondy and U. S. R. Murty, Graph Theory with applications,
University of Waterloo, Canada, 1992.
[4] Tanka, Kazuo, Fuzzy set theory, university of Kanazawavol, Japen,
1962.J.
[5] Robbins, H. E. , A theorem on graphs, with an application to a problem
of traffic control, Amer. Math. Monthly, 46, 281-83, 1939.
[1] George J. Klir/Bo Yuan, Fuzzy Sets and fuzzy logic. New Jersey 07458,,
U.S.A, 1995.
[2] Zadeh, L. A. 1965, Fuzzy sets, Information and Control 8; 338-353.
[3] J. A. Bondy and U. S. R. Murty, Graph Theory with applications,
University of Waterloo, Canada, 1992.
[4] Tanka, Kazuo, Fuzzy set theory, university of Kanazawavol, Japen,
1962.J.
[5] Robbins, H. E. , A theorem on graphs, with an application to a problem
of traffic control, Amer. Math. Monthly, 46, 281-83, 1939.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:52664", author = "Mahdi Taheri and Mehrana Niroumand", title = "Fuzzy Adjacency Matrix in Graphs", abstract = "In this paper a new definition of adjacency matrix in
the simple graphs is presented that is called fuzzy adjacency matrix,
so that elements of it are in the form of 0 and
n N
n
1 , ∈
that are
in the interval [0, 1], and then some charactristics of this matrix are
presented with the related examples . This form matrix has complete
of information of a graph.", keywords = "Graph, adjacency matrix, fuzzy numbers", volume = "5", number = "6", pages = "815-3", }