TY - JOUR
ID - 475
TI - CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Zahedi, M. M.
AU - Khorashadi-Zadeh, M. R.
AD - Department of Mathematics, Shahid Bahonar University of Kerman,
Kerman, Iran
AD - Department of Mathematics, Imam Ali Military University,
Tehran, Iran
Y1 - 2005
PY - 2005
VL - 2
IS - 1
SP - 49
EP - 63
KW - Fuzzy graph
KW - Fuzzy hypergraph
KW - Fuzzy subhypergroup
KW - Partially
ordered monoid
DO - 10.22111/ijfs.2005.475
N2 - 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.
UR - https://ijfs.usb.ac.ir/article_475.html
L1 - https://ijfs.usb.ac.ir/article_475_4c6e4e4c3721205d46bc60a79552b370.pdf
ER -