Linear Methods for Multivariate Normalization

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

Chapter Chapter 4 in Normalization of Multidimensional Data for Multi-Criteria Decision Making Problems, 2023, pp 71-94 from Springer

Abstract: Abstract This chapter introduces the basic linear methods of multivariate normalization and defines some important invariant properties of linear normalization methods—disposition invariance of natural and normalized values, rating invariance for isotropic data scaling, re-normalization invariance, and skewness invariance. A meaningful interpretation of linear normalized scales is given. Using the invariant properties of linear normalization methods often eliminates simple problems and avoids obvious errors when solving MCDM problems.

Keywords: Multivariate normalization; Linear methods; Re-normalization; Invariant properties; Interpretation of normalization scales (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_4

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

DOI: 10.1007/978-3-031-33837-3_4

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 ().