Scientia Iranica

Scientia Iranica

Family of harmonic aggregation operators under inuitionistic fuzzy environment

Document Type : Research Article

Authors
Department of Mathematics, IIT Patna, India
Abstract
In the process of decision making, the necessity of aggregation of input arguments into a single output
becomes a key step and as a result 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 de ne 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 on
the obtained results.
Keywords
Subjects

Volume 24, Issue 6 - Serial Number 6
Transactions on Industrial Engineering (E)
November and December 2017
Pages 3308-3323

  • Receive Date 06 October 2015
  • Revise Date 16 September 2016
  • Accept Date 10 October 2016