Decision–Making Problem for Triangular Hesitant Fuzzy Set

In this paper, we proposed two new algorithms to address the task of multicriteria decision-making problems in which the criteria weights which have been unidentified, and alternatives are provided by triangular fuzzy numbers' linguistic values. A decision-making problem with assessments has been proposed on the basis of expected values. The expected values for two algorithms are calculated with two different 'Ranking Functions'. The weights are obtained by calculating the variance and mean of expected values with the aid of the triangular hesitant fuzzy decision matrix. The all alternatives ranking order is determined, and the maximum one is the best that can be identified easily. Lastly, a representative example is provided regarding the health issues of a community.