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In this article, a new hesitancy fuzzy similarity measure is defined and thenused to develop the matrix of hesitancy fuzzy similarity measures, which issubsequently used to classify hesitancy fuzzy graph using the workingprocedure. We build a working procedure (Algorithm) for estimating the eligiblereputation scores values of experts by applying hesitancy fuzzy preferencerelationships (HFPRs) and the usual similarity degree of one distinct HFPRs toeach other's. As the last step, we provide real time numerical examples todemonstrate and validate our working procedure.

The Application of Energy and Laplacian Energy of Hesitancy Fuzzy Graph Based on Similarity Measures in Decision Making Problems