Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)

Mehdi Keshavarz-Ghorabaee; Maghsoud Amiri; Edmundas Kazimieras Zavadskas; Zenonas Turskis; Jurgita Antucheviciene

doi:10.3390/sym13040525

Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)

Symmetry ◽

10.3390/sym13040525 ◽

2021 ◽

Vol 13 (4) ◽

pp. 525 ◽

Cited By ~ 2

Author(s):

Mehdi Keshavarz-Ghorabaee ◽

Maghsoud Amiri ◽

Edmundas Kazimieras Zavadskas ◽

Zenonas Turskis ◽

Jurgita Antucheviciene

Keyword(s):

Essential Elements ◽

New Method ◽

Multi Criteria Decision Making ◽

Analysis Of Means ◽

Simulation Based ◽

Criteria Weights ◽

The Stability ◽

Computational Analyses ◽

Weighting Methods

The weights of criteria in multi-criteria decision-making (MCDM) problems are essential elements that can significantly affect the results. Accordingly, researchers developed and presented several methods to determine criteria weights. Weighting methods could be objective, subjective, and integrated. This study introduces a new method, called MEREC (MEthod based on the Removal Effects of Criteria), to determine criteria’ objective weights. This method uses a novel idea for weighting criteria. After systematically introducing the method, we present some computational analyses to confirm the efficiency of the MEREC. Firstly, an illustrative example demonstrates the procedure of the MEREC for calculation of the weights of criteria. Secondly, a comparative analysis is presented through an example for validation of the introduced method’s results. Additionally, we perform a simulation-based analysis to verify the reliability of MEREC and the stability of its results. The data of the MCDM problems generated for making this analysis follow a prevalent symmetric distribution (normal distribution). We compare the results of the MEREC with some other objective weighting methods in this analysis, and the analysis of means (ANOM) for variances shows the stability of its results. The conducted analyses demonstrate that the MEREC is efficient to determine objective weights of criteria.

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New method for the determination of the stability constants of coordination compounds

Journal of Inorganic and Nuclear Chemistry ◽

10.1016/0022-1902(58)80198-0 ◽

1958 ◽

Vol 8 ◽

pp. 332-339 ◽

Cited By ~ 5

Author(s):

Sergio Cabani ◽

Eolo Scrocco

Keyword(s):

Stability Constants ◽

Coordination Compounds ◽

New Method ◽

The Stability

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Donor numbers: 27Al quadrupole relaxation as a measure of solvent donicity towards the sodium ion

Canadian Journal of Chemistry ◽

10.1139/v83-293 ◽

1983 ◽

Vol 61 (8) ◽

pp. 1719-1721 ◽

Cited By ~ 8

Author(s):

Marion C. Day ◽

James H. Medley ◽

Naseer Ahmad

Keyword(s):

Sodium Ion ◽

New Method ◽

Quadrupole Relaxation ◽

Solvent Interactions ◽

Donor Numbers ◽

Line Widths ◽

The Stability ◽

Anion Interaction ◽

Solvent Solvent

A new method is presented for the determination of solvent donicity towards the sodium ion that avoids solvent–solvent interactions. Using the systemNaAlEt4–benzene–donorthe response of the 27Al quadrupole relaxation to anion symmetry as a function of donor: Na+ ratio is monitored by both 27Al line widths and methylene 1H absorptions. The assumption is made that anion symmetry is dependent on the cation–anion interaction which is dependent on the stability of the donor–Na+ solvates. The ordering of donors is found to differ from the generally accepted listing. A ranking of seventeen donors is given.

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THE NEW METHOD FOR DETERMINATION OF THE STABILITY CONSTANTS OF CYCLODEXTRIN–PROSTAGLANDIN INCLUSION COMPLEXES BY LIQUID CHROMATOGRAPHY

Chemistry Letters ◽

10.1246/cl.1978.661 ◽

1978 ◽

Vol 7 (7) ◽

pp. 661-664 ◽

Cited By ~ 21

Author(s):

Kaneto Uekama ◽

Fumitoshi Hirayama ◽

Tetsumi Irie

Keyword(s):

Liquid Chromatography ◽

Inclusion Complexes ◽

Stability Constants ◽

New Method ◽

The Stability

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A new method for the stability robustness determination of state space models with real perturbations

10.1109/cdc.1988.194369 ◽

2003 ◽

Cited By ~ 20

Author(s):

L. Qiu ◽

E.J. Davison

Keyword(s):

State Space ◽

State Space Models ◽

New Method ◽

Stability Robustness ◽

The Stability

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A new method for the determination of the stability constant of metalloporphyrins: use of the catalytic effect of mercury(II) on metalloprophyrin formation

Journal of the Chemical Society Chemical Communications ◽

10.1039/c39850000042 ◽

1985 ◽

pp. 42 ◽

Cited By ~ 27

Author(s):

Masaaki Tabata ◽

Motoharu Tanaka

Keyword(s):

Stability Constant ◽

Catalytic Effect ◽

New Method ◽

The Stability

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Simulation-Based Evaluation of Criteria Rank-Weighting Methods in Multi-Criteria Decision-Making

International Journal of Information Technology & Decision Making ◽

10.1142/s0219622015500315 ◽

2016 ◽

Vol 15 (01) ◽

pp. 43-61 ◽

Cited By ~ 3

Author(s):

Hesham K. Alfares ◽

Salih O. Duffuaa

Keyword(s):

Decision Making ◽

Rank Order ◽

Probability Distributions ◽

Decision Makers ◽

Estimation Accuracy ◽

Multi Criteria Decision Making ◽

Simulation Based ◽

Criteria Weights ◽

Single Method ◽

Preference Structures

This paper presents a simulation study to assess the performance of the five known methods for converting ranks of several criteria into weights in multi-criteria decision-making. The five methods assessed for converting criteria ranks into weights are: rank- sum (RS) weights, rank reciprocal (RR) weights, rank order centroid (ROC) weights, geometric weights (GW), and variable-slope linear (VSL) weights. The methods are compared in terms of weight estimation accuracy considering different numbers of criteria and decision makers’ (MS) preference structures. Alternative preference structures are represented by different probability distributions of randomly generated criteria weights, namely the uniform, normal, and exponential distributions. Results of the simulation experiments indicate that no single method is consistently superior to all others. On average, RS is best for uniform weights, VSL is best for normal weights, and ROC is best for exponential weights. However, for any multi-criteria decision-making (MCDM) problem, the best method for converting criteria ranks into weights depends on both the number of criteria and the weight distribution.

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Integrated Determination of Objective Criteria Weights in MCDM

International Journal of Information Technology & Decision Making ◽

10.1142/s0219622016500036 ◽

2016 ◽

Vol 15 (02) ◽

pp. 267-283 ◽

Cited By ~ 60

Author(s):

Edmundas Kazimieras Zavadskas ◽

Valentinas Podvezko

Keyword(s):

Evaluation Criteria ◽

Entropy Method ◽

Multiple Criteria ◽

New Method ◽

Relative Impact ◽

Decision Matrix ◽

Criteria Weights ◽

Multiple Criteria Evaluation

In multiple criteria evaluation, criteria weights are of great importance. In practice, subjective criteria weights determined by specialists/experts are commonly used. The types of elements of a decision matrix also play an important role in the evaluation of alternatives. The objective weights help to estimate the structure of data. The entropy method is widely used for determining the weights (significances) of criteria. A new method of the criterion impact loss, CILOS, is used for determining a relative impact loss experienced by the criterion of an alternative, when another criterion is chosen to be the best. The authors of the paper have combined the best features of the entropy method and the CILOS approach to obtain a new method – Integrated Determination of Objective CRIteria Weights, or (IDOCRIW).

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New Method for Rapid Determination of Carboxyhemoglobin by Use of Double-Wavelength Spectrophotometry

Clinical Chemistry ◽

10.1093/clinchem/20.2.278 ◽

1974 ◽

Vol 20 (2) ◽

pp. 278-281 ◽

Cited By ~ 17

Author(s):

Alfred Ramieri ◽

Peter Jatlow ◽

David Seligson

Keyword(s):

Carbon Monoxide ◽

Rapid Determination ◽

New Method ◽

Reduction Procedure ◽

Simple Method ◽

Absorption Signal ◽

The Stability

Abstract We have developed a simple method for rapid determination of carboxyhemoglobin concentration in blood, by use of double-wavelength spectrophotometry. The absorbance of both oxyhemoglobin and reduced hemoglobin are instrumentally nulled out in this procedure, so that the absorption signal reflects HbCO and only a single spectrophotometric reading is required. This procedure is accurate in the range encountered in ambulatory persons as well as in the "toxic" range. Results correlated well with the dithionite reduction procedure. The stability of carboxyhemoglobin in solution was investigated and concentrations of carbon monoxide in groups of smokers and nonsmokers were determined.

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