Title :
Mathematical analysis of similarity index and connectivity index in fuzzy graph
Author :
Uesu, Hiroaki ; Tsuda, Ei ; Yamashita, Hajime
Author_Institution :
Waseda Univ., Tokyo, Japan
Abstract :
We often represent the inexact phenomena regarding mental process and cognition as fuzzy graphs. If we investigate the cluster and the order of the nodes in the fuzzy graph, we have a lot of interesting results. For this purpose we define the similarity Index and the connectivity Index. In this paper, we would discuss the definition of the indices and its properties.
Keywords :
cognition; fuzzy set theory; graph theory; indexing; mathematical analysis; cognition; connectivity index; fuzzy graphs; fuzzy set theory; mathematical analysis; similarity index; Cognition; Mathematical analysis;
Conference_Titel :
Fuzzy Information Processing Society, 2003. NAFIPS 2003. 22nd International Conference of the North American
Print_ISBN :
0-7803-7918-7
DOI :
10.1109/NAFIPS.2003.1226759
