Intuitionistic fuzzy sets are generalization of fuzzy sets. In this paper, the definition of complement of an intuitionistic fuzzy graph (IFG) is given and some properties of self-complementary IFGs are studied; The operations on IFGs such as union, join, Cartesian product and composition are defined and some of their properties are also analyzed.
3 November 2012 in Fuzzy Optimization and Decision Making
Atanassov [1][9][10] defined Intuitionistic Fuzzy Graphs(IFGs) using five types of Cartesian products. In this paper IFGs so defined are named. Homomorphism, weak isomorphism and co-weak isomorphism of minmax IFGs are defined with suitable illustrations. Some of the properties of isomorphism on IFG and isomorphism on strong IFG are also analyzed.
1 January 2010 in International Journal of Computer Theory and Engineering