Title :
Cliques and fuzzy cliques in fuzzy graphs
Author :
Nair, P.S. ; Cheng, S-C
Author_Institution :
Dept. of Math. & Comput. Sci., Creighton Univ., Omaha, NE, USA
Abstract :
The authors define the concept of a fuzzy clique. In the case of a fuzzy graph, the concept of a cycle and a fuzzy cycle has been studied. The aim of the paper is to present the concept of a clique and a fuzzy clique in fuzzy graphs, consistent with the definition of cycles and fuzzy cycles in fuzzy graphs. Various interesting properties of fuzzy cliques are presented. A complete characterization of the structure of the fuzzy clique is also presented
Keywords :
fuzzy logic; fuzzy set theory; graph theory; complete graph; fuzzy cliques; fuzzy cycle; fuzzy graphs; fuzzy set theory; Computer science; Fuzzy sets; Mathematics; Tree graphs;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.944426