EconPapers    
Economics at your fingertips  
 

A non-linear non-weight method for multi-criteria decision making

Ping Heidi Huang () and Tzuong-tsieng Moh
Additional contact information
Ping Heidi Huang: Purdue University
Tzuong-tsieng Moh: Purdue University

Annals of Operations Research, 2017, vol. 248, issue 1, No 10, 239-251

Abstract: Abstract We apply the Perron theorem in multi-attribute decision making. We create a comparison matrix for decision alternatives and prove that the matrix is almost-always primitive. We use the limiting power of the matrix multiplied by a standard vector, which leads to a positive eigenvector of the matrix, as the ranking vector for decision alternatives. The proposed method does not require domain experts to assign weights for decision criteria as usually demanded by the weighted-sum model. The new method is simple to use and generates reasonable result as illustrated by an example of ranking best hospitals over twelve criteria. We also demonstrate that the weightedsum methods may not be able to reveal all possible rankings. We give one example showing that a weighted-sum method collapsed thirteen distinct rankings into a single ranking and another example showing that the weighted-sum methods could not produce the ranking that is unrenderable by linear functions.

Keywords: Multi-criteria decision making; Multi-attribute decision making; Pairwise comparison; Power method; Ranking; Weighted-sum (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1) Track citations by RSS feed

Downloads: (external link)
http://link.springer.com/10.1007/s10479-016-2208-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:248:y:2017:i:1:d:10.1007_s10479-016-2208-2

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-016-2208-2

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().

 
Page updated 2020-12-26
Handle: RePEc:spr:annopr:v:248:y:2017:i:1:d:10.1007_s10479-016-2208-2