CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS
نویسندگان
1 Department of Mathematics, Imam Ali Military University, Tehran, Iran
2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
doi
10.22111/ijfs.2005.475چکیده
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.
