Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808810120200521An extension of TOPSIS model based on monotonic utility of criteriaAn extension of TOPSIS model based on monotonic utility of criteria1962141529310.22055/jamm.2020.27384.1647FAAhmad KazemifardDepartment of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, IranJournal Article20181024Although 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.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.https://jamm.scu.ac.ir/article_15293_4a4489ef246caf884cb07ddfabab9c8f.pdf