Fuzzy graph theory has enormous range of applications in neural networks, physical, logic, algebra, topology, operations research, pattern recognition, artificial intelligence, natural and sociobiological sciences and in several other areas. We propose new concepts for generating different types of fuzzy subgraph defined as κ1κ2 - fuzzy subgraph which depend on the changeable of the memberships of vertices and edges with discussing new type of paths Pκ1κ2 . Our approach is based on studying its effect of strength on different types of arcs by explaining several examples and deducing new important properties. Finally, we demonstrate all of the above on the circulation of hepatic portal system. Also, we analyze the influence of the resultant properties with medical phenomena and views with illustrating the consequences of abnormal cases. A new algorithm was created a code through MATLAP methods to calculate the membership of both the vertices and edges of whatever parts to be studied on the circulation of the hepatic portal system.
S. El Azab, M.; Shokry, M.; and Emad Aly, Reham
"A New View of Special Types of Subgraphs with Applications on Circulation of Hepatic Portal System,"
Information Sciences Letters: Vol. 11
, PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/27