Family of harmonic aggregation operators under intuitionistic fuzzy environment

In the process of decision making, the necessity of aggregation of input arguments into a single output becomes a key step; as a result, the selection of an appropriate aggregation operator is a vital aspect. the aim of this contribution is threefold. first, we study algebraic operations of trapezoidal intuitionistic fuzzy numbers (trifns), and then on the basis of these operational laws, we define four types of harmonic mean operators with trifns. second, the required properties of the proposed operators are reviewed. after that, an approach based on the proposed operators is introduced to solve a group decision making problem. finally, a practical example is furnished to demonstrate the applicability of the proposed operators in the decision making context. the contribution ends by introducing comparative analysis of the obtained results.