Sharif University of Technology Scientia Iranica 1026-3098 24 6 2017 12 01 Family of harmonic aggregation operators under inuitionistic fuzzy environment 3308 3323 4400 10.24200/sci.2017.4400 EN Satyajit Das Department of Mathematics, IIT Patna, India Debashree Guha Department of Mathematics, IIT Patna, India Journal Article 2015 10 06 In the process of decision making, the necessity of aggregation of input arguments into a single output<br />becomes a key step and as a result selection of an appropriate aggregation operator is a vital aspect. The<br />aim of this contribution is threefold. First, we study algebraic operations of trapezoidal intuitionistic<br />fuzzy numbers (TrIFNs) and then on the basis of these operational laws, we dene four types of harmonic<br />mean operators with TrIFNs. Second, the required properties of the proposed operators are reviewed.<br />After that, an approach based on the proposed operators is introduced to solve a group decision making<br />problem. Finally, a practical example is furnished to demonstrate the applicability of the proposed<br />operators in the decision making context. The contribution ends by introducing comparative analysis on<br />the obtained results. https://scientiairanica.sharif.edu/article_4400_a297dcdb48555c73bd0ab6b233233aca.pdf