A Network Shortest Path Algorithm via Hesitancy Fuzzy Digraph

Authors : Parimala Mani, Said Broumi, Karthika Muthusamy

Pages : 52-62

View : 17 | Download : 12

Publication Date : 2019-03-01

Article Type : Research

Abstract :Many extension and generalization of fuzzy sets have been studied  and introduced in the literature. Hesitancy fuzzy digraph is a  generalization of intuitionistic fuzzy set and fuzzy graph.  In this  paper, we redefine some basic operations of hesitancy fuzzy graph  and it is referred as hesitancy fuzzy digraph (in short HFDG). We  discuss some arithmetic operations and relations among HFDG. We  further proposed a method to solve a shortest path problem through  score function.
Keywords : Digraphs, Hesitancy fuzzy sets, Hesitancy fuzzy digraphs