%0 Journal Article
%T CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Zahedi, M. M.
%A Khorashadi-Zadeh, M. R.
%D 2005
%\ 04/21/2005
%V 2
%N 1
%P 49-63
%! CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS
%K Fuzzy graph
%K Fuzzy hypergraph
%K Fuzzy subhypergroup
%K Partially
ordered monoid
%R 10.22111/ijfs.2005.475
%X In this note by considering a complete lattice L, we define thenotion of an L-Fuzzy hyperrelation on a given non-empty set X. Then wedefine the concepts of (POM)L-Fuzzy graph, hypergraph and subhypergroupand obtain some related results. In particular we construct the categories ofthe above mentioned notions, and give a (full and faithful) functor form thecategory of (POM)L-Fuzzy subhypergroups ((POM)L-Fuzzy graphs) into thecategory of (POM)L-Fuzzy hypergraphs. Also we show that for each finiteobjects in the category of (POM)L-Fuzzy graphs, the coproduct exists, andunder a suitable condition the product also exists.
%U https://ijfs.usb.ac.ir/article_475_4c6e4e4c3721205d46bc60a79552b370.pdf