selecting methods of the weighting factors of local criteria
Article Quality & Performance Metrics
Readership in this journal
PopularRanked #424 of 442 articles by views in BMJ open
Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 442 in total.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
Abstract
The paper considers calculation methods of weight coefficients of local criteria for the person to make decision (PMD). Methods can be used by a decision-maker to form the integrated criteria in the form of the additive, multiplicative, minimax, nonlinear or combined convolution of local criteria, different in degree of importance, as well as to carry out a comparative assessment of the studied alternative options on their basis, range these options, and choose the best option among them.
The paper classifies the calculation methods of weight coefficients of criteria and distinguishes three groups, namely: methods based on the paired comparison of criteria, methods based on the analytical interrelation of indicators of criteria preference, and methods based on the formalistic approach. Among the methods based on paired comparison of criteria the following ones are distinguished: a classical method of paired comparison of criteria, and methods of paired comparison of criteria based on the fixed, floating, and exponential floating preferences of criteria. The last two methods of criteria comparison are respectively basic for the practical use of both a method of hierarchy analysis and a multiplicative method of hierarchy analysis. The paper considers in detail calculation methods of weight coefficients of criteria using analytical dependences of interrelation between the indicators of criteria importance based on an arithmetic and geometrical progression. The considered formal methods include the method of consecutive comparison of criteria known as a Cherchmen's method – Akoffa, method and a method of basic criterion.
It is shown that when using methods of paired comparison of criteria or methods based on the interrelation of weight coefficients of criteria obeyed to an analytical or geometrical progression with the strictly ranging criteria K K K ......K K 1 2 3 n-1 n , a difference in weight coefficients of the most important and least important criteria is strictly the fixed number of times which depends on the used method and the number of the considered criteria n . So when using a classical method of paired comparison of criteria and a method based on the use of an arithmetic progression, n, and when using a geometrical progression, n , and it sharply increases with growing n.
To eliminate noted shortcomings in considered calculation methods of weight coefficients of criteria, methods of the adjusted assessment of criteria preference are developed and offered for a practical use: a method of paired comparison on the basis of the adjusted fixed preference of criteria; a method on the basis of the adjusted decreasing arithmetic progression, and a method on the basis of the adjusted decreasing geometrical progression.
The offered methods allow a decision-maker in case of strictly ranging criteria, as basic data, to set both the number of criteria, and the value - coefficient of superiority of the most important criterion in comparison with the least important criterion and have a pronounced practical focus.
| Reference Key |
postnikov2015naukaselecting
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | |
| Journal | BMJ open |
| Year | 2015 |
| DOI |
10.7463/0615.0780334
|
| URL | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
ZincirX productsfrom the team behind Journament
-
PatentYazar
Patent drafts for the EPO, USPTO and TürkPatent
From inventor notes to a DOCX draft: description, claims, abstract. The machine drafts, the attorney signs.
See how it works (opens in a new tab) -
Projenator
Have a project idea? Score and plan it with AI
AI scores your idea in five dimensions and builds a phased plan. Your first project is free, no card needed.
Start your first project (opens in a new tab)
Cookies
We use strictly necessary cookies to run the site and keep you signed in. With your permission we would also use Google Analytics to see how the site is used, and Google AdSense to show ads on journal and article pages. Both stay off unless you accept, and you can change your mind at any time. How we use cookies · KVKK notice (Türkiye)
Cookie settings
Comments
No comments yet. Be the first to comment on this article.