  In this article, a new hesitancy fuzzy similarity measure is defined and then
used to develop the matrix of hesitancy fuzzy similarity measures, which is
subsequently used to classify hesitancy fuzzy graph using the working
procedure. We build a working procedure (Algorithm) for estimating the eligible
reputation scores values of experts by applying hesitancy fuzzy preference
relationships (HFPRs) and the usual similarity degree of one distinct HFPRs to
each other's. As the last step, we provide real time numerical examples to
demonstrate and validate our working procedure.
