Operations on Intuitionistic Fuzzy Hypergraphs

Hypergraph is a graph in which an edge can connect more than two vertices. Hypergraphs can be applied to analyze architecture structures and to represent system partitions. The concept of hypergraphs was extended to fuzzy hypergraph. In this paper, we extend the concepts of fuzzy hypergraphs into that of intuitionistic fuzzy hypergraphs. Based on the definition of intuitionistic fuzzy graph, operations like complement, join, union, intersection, ringsum, cartesian product, composition are defined for intuitionistic fuzzy graphs. The authors further proposed to apply these operations in clustering techniques. Keywordsfuzzy hypergraph (IFHG), Complement, Union, Join, Intersection, Ringsum, Cartesian product, Composition.