Elimination of the Domains’ Displacement of the Normalized Values in MCDM Tasks: The IZ-Method

Irik Z. Mukhametzyanov ()
Additional contact information
Irik Z. Mukhametzyanov: Ufa State Petroleum Technological University, Kosmonavtov, Street, 1, Ufa 450062, Republic of Bashkortostan, Russia

International Journal of Information Technology & Decision Making (IJITDM), 2024, vol. 23, issue 01, 289-326

Abstract: Decision matrix normalization is an important step in ranking-based MCDM methods. Different normalization methods can produce different final rankings. The paper provides an overview and defines the invariant properties of the basic linear methods of multidimensional normalization. It is shown that one of the essential reasons for the variation of the ranking depending on the normalization method is the domains’ displacement of the normalized values of various attributes relative to each other. An IZ-method for multidimensional normalization is proposed, which eliminates the domains’ displacement. The IZ-method ensures the preservation of dispositions of natural values of attribute, provides symmetry in an orientation toward optimizing costs and benefits, processes the zero and negative values, and eliminates the priority of the contributions of various criteria to the performance indicator of alternatives. The IZ-method converts multivariate data to a single common scale and represents a class of multivariate normalization methods that convert data to isotropic scales. The IZ-method allows binding to the scale of any feature or to the scale chosen by the decision maker. Efficiency of the IZ-method is postulated by the totality of the fulfillment of the basic principles and required properties for multidimensional normalization.

Keywords: Normalization of multidimensional data; multi-criteria decision-making (MCDM); multidimensional classification; IZ-method of normalization (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219622023500037
Access to full text is restricted to subscribers

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:wsi:ijitdm:v:23:y:2024:i:01:n:s0219622023500037

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219622023500037

Access Statistics for this article

International Journal of Information Technology & Decision Making (IJITDM) is currently edited by Yong Shi

More articles in International Journal of Information Technology & Decision Making (IJITDM) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().