An extension of TOPSIS model based on monotonic utility of criteria

Document Type : Original Paper


Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran


Although TOPSIS is one of the widely used models in analyzing MCDM/MADM problems, there exists a necessary condition for its application that is the increasing or decreasing utility of the criteria. In the real world, in many cases, some of the criteria of decision making lack this property. In these cases an unrealistic assumption of the monotonic utility of the criteria is imposed to the model. However such an assumption may affect the accuracy of the results. This paper provides an extension of TOPSIS model which overcomes this limitation.


Main Subjects

Volume 10, Issue 1
May 2020
Pages 196-214
  • Receive Date: 24 October 2018
  • Revise Date: 21 January 2020
  • Accept Date: 21 January 2020
  • First Publish Date: 21 May 2020