Aggregation operation on hesitancy fuzzy graph.

The first definition of fuzzy graph by Kanfinam (1973) was based on Zadehs fuzzy realition (1971). But it was Azraiel Rosenfield (1975) who considered fuzzy relation on fuzzy sets and developed the theory of fuzzy graphs. Battacharya (1987) established that a fuzzy group can be associated with a fuzzy graph in a natural way. Bhutani (1989) introduced homomorphisms of fuzzy graphs and showed that the collection of all automorphisims of a fuzzy graph is a group under set theoretic product of functions as a binary operation. In this paper, we introduce the aggregation operation on Hesitancy fuzzy graphs and apply the Ordered weighted averaging aggregation operation on Hesitancy fuzzy graphs. [ABSTRACT FROM AUTHOR]