Comparative Results of Ranking of Alternatives Using Different Normalization Methods: Computational Experiment

Irik Z. Mukhametzyanov
Additional contact information
Irik Z. Mukhametzyanov: Ufa State Petroleum Technological University

Chapter Chapter 11 in Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems, 2023, pp 221-246 from Springer

Abstract: Abstract This chapter presents a comparative analysis of the ranking of alternatives when applying various normalization methods based on a numerical experiment. Calculations and analysis were performed for two problems of multi-criteria choice. The first problem has a weak sensitivity to the normalization method, and the second one has a strong sensitivity. Both problems (decision matrices) are described in Chap. 6 . 238 different rank models are built, combining 13 aggregation methods and 21 different normalization methods, all other things being equal. To compare the results, the ranking was also performed within seven outranking models that do not use data normalization. The ranking results for 238 different models are aggregated under the Borda voting concept, in which different models are defined as “electors.” The use of a many number of models or a computational experiment makes it possible to establish the sensitivity of the multi-criteria choice problem to the decision matrix normalization procedure.

Keywords: MCDM rank model; Multivariate normalization; Sensitivity analysis to normalization; Distinguishability of ratings (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:isochp:978-3-031-33837-3_11

Ordering information: This item can be ordered from
http://www.springer.com/9783031338373

DOI: 10.1007/978-3-031-33837-3_11

Access Statistics for this chapter

More chapters in International Series in Operations Research & Management Science from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().