%0 Journal Article %T Family of harmonic aggregation operators under inuitionistic fuzzy environment %J Scientia Iranica %I Sharif University of Technology %Z 1026-3098 %A Das, Satyajit %A Guha, Debashree %D 2017 %\ 12/01/2017 %V 24 %N 6 %P 3308-3323 %! Family of harmonic aggregation operators under inuitionistic fuzzy environment %K Intuitionistic fuzzy number %K Aggregation operator %K Harmonic mean %K Ranking %K Multi- attribute group decision making %R 10.24200/sci.2017.4400 %X In the process of decision making, the necessity of aggregation of input arguments into a single outputbecomes a key step and as a result selection of an appropriate aggregation operator is a vital aspect. Theaim of this contribution is threefold. First, we study algebraic operations of trapezoidal intuitionisticfuzzy numbers (TrIFNs) and then on the basis of these operational laws, we de ne four types of harmonicmean 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 makingproblem. Finally, a practical example is furnished to demonstrate the applicability of the proposedoperators in the decision making context. The contribution ends by introducing comparative analysis onthe obtained results. %U https://scientiairanica.sharif.edu/article_4400_a297dcdb48555c73bd0ab6b233233aca.pdf