Title
A direct interval extension of TOPSIS method
Abstract
The TOPSIS method is a technique for order preference by similarity to ideal solution. This technique currently is one of the most popular methods for Multiple Criteria Decision Making (MCDM). The TOPSIS method was primary developed for dealing with only real-valued data. In many cases, it is hard to present precisely the exact ratings of alternatives with respect to local criteria and as a result these ratings are considered as intervals. There are some papers devoted to the interval extensions of TOPSIS method, but these extensions are based on different heuristic approaches to definition of positive and negative ideal solutions. These ideal solutions are presented by real values or intervals, which are not attainable in a decision matrix. Since this is in contradiction with basics of classical TOPSIS method, in this paper we propose a new direct approach to interval extension of TOPSIS method which is free of heuristic assumptions and limitations of known methods. Using numerical examples we show that ''direct interval extension of TOPSIS method'' may provide the final ranking of alternatives which is substantially different from the results obtained using known methods.
Year
DOI
Venue
2013
10.1016/j.eswa.2013.02.022
Expert Syst. Appl.
Keywords
Field
DocType
negative ideal solution,ideal solution,classical topsis method,direct interval extension,known method,topsis method,different heuristic approach,interval extension,popular method,heuristic assumption,topsis
Direct method,Mathematical optimization,Heuristic,Multiple-criteria decision analysis,Multiple criteria,Decision matrix,Ranking,Computer science,Ideal solution,TOPSIS
Journal
Volume
Issue
ISSN
40
12
0957-4174
Citations 
PageRank 
References 
30
0.91
17
Authors
3
Name
Order
Citations
PageRank
Ludmila Dymova126114.42
Pavel Sevastjanov220010.51
Anna Tikhonenko3823.53