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Zahedi, M. M., Khorashadi-Zadeh, M. R.. (1384). CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS. نشریه علمی دانشگاه سیستان و بلوچستان, 2(1), 49-63. doi: 10.22111/ijfs.2005.475
M. M. Zahedi; M. R. Khorashadi-Zadeh. "CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS". نشریه علمی دانشگاه سیستان و بلوچستان, 2, 1, 1384, 49-63. doi: 10.22111/ijfs.2005.475
Zahedi, M. M., Khorashadi-Zadeh, M. R.. (1384). 'CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS', نشریه علمی دانشگاه سیستان و بلوچستان, 2(1), pp. 49-63. doi: 10.22111/ijfs.2005.475
Zahedi, M. M., Khorashadi-Zadeh, M. R.. CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS. نشریه علمی دانشگاه سیستان و بلوچستان, 1384; 2(1): 49-63. doi: 10.22111/ijfs.2005.475

CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS

Iranian Journal of Fuzzy Systems
مقاله 6، دوره 2، شماره 1، تیر 2005، صفحه 49-63    اصل مقاله (219.97 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2005.475
نویسندگان
M. M. Zahedi1؛ M. R. Khorashadi-Zadeh* 2
1Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
2Department of Mathematics, Imam Ali Military University, Tehran, Iran
چکیده
In this note by considering a complete lattice L, we define the
notion of an L-Fuzzy hyperrelation on a given non-empty set X. Then we
define the concepts of (POM)L-Fuzzy graph, hypergraph and subhypergroup
and obtain some related results. In particular we construct the categories of
the above mentioned notions, and give a (full and faithful) functor form the
category of (POM)L-Fuzzy subhypergroups ((POM)L-Fuzzy graphs) into the
category of (POM)L-Fuzzy hypergraphs. Also we show that for each finite
objects in the category of (POM)L-Fuzzy graphs, the coproduct exists, and
under a suitable condition the product also exists.
کلیدواژه‌ها
Fuzzy graph؛ Fuzzy hypergraph؛ Fuzzy subhypergroup؛ Partially ordered monoid
مراجع
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Sets and Systems, 76(1995) 113-130.
[11] M. M. Zahedi and M. R. Khorashadi-Zadeh, Some Categoric Connections Between Fuzzy
Hypergraphs, Subhypergroups, Graphs, Subgroups and Subsets, Journal of Discrete Mathematical
Sciences and Cryptography, Vol. 4, No. 1(2001) 17-32.

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