University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06542120050421CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHSCATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS496347510.22111/ijfs.2005.475ENM. M.ZahediDepartment of Mathematics, Shahid Bahonar University of Kerman,
Kerman, IranM. R.Khorashadi-ZadehDepartment of Mathematics, Imam Ali Military University,
Tehran, IranJournal Article20130421In this note by considering a complete lattice L, we define the<br />notion of an L-Fuzzy hyperrelation on a given non-empty set X. Then we<br />define the concepts of (POM)L-Fuzzy graph, hypergraph and subhypergroup<br />and obtain some related results. In particular we construct the categories of<br />the above mentioned notions, and give a (full and faithful) functor form the<br />category of (POM)L-Fuzzy subhypergroups ((POM)L-Fuzzy graphs) into the<br />category of (POM)L-Fuzzy hypergraphs. Also we show that for each finite<br />objects in the category of (POM)L-Fuzzy graphs, the coproduct exists, and<br />under a suitable condition the product also exists.https://ijfs.usb.ac.ir/article_475_4c6e4e4c3721205d46bc60a79552b370.pdf