A Novel Approach To Measuring Criterion Weights In Multiple Criteria Decision Making: Cubic Effect-Based Measurement (CEBM)

Furkan Fahri Altıntaş

Article Details

A Novel Approach To Measuring Criterion Weights In Multiple Criteria Decision Making: Cubic Effect-Based Measurement (CEBM)

Authors:

Furkan Fahri Altıntaş

Publisher:

Eskişehir Osmangazi University

Main Topics:

Hesaplamalı İstatistik

Journal:

Nicel Bilimler Dergisi Vol.5 Issue 2, pp.151-195

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001308968

pISSN:

2667-8993

Keywords:

Abstract:

 In the realm of multi-criteria decision making MCDM literature, various approaches exist for quantifying the weight coefficients of criteria. In this study, unlike other methods of calculating weight coefficients, a mathematical model based on cubic interactions among criteria has been proposed CEBM-Cubic Effect-Based Measurement. This model aims to enrich the MCDM literature while providing a means to compute weight coefficients of criteria. The dataset employed in this investigation comprises criterion values extracted from the Global Innovation Index GII evaluations for 19 G20 countries. Through the analysis outcomes, the efficacy of the proposed methodology in objectively deriving criteria weight coefficients for different nations is demonstrated. Furthermore, a comparative analysis is conducted, juxtaposing the proposed method with other objective weighting techniques ENTROPY, CRITIC, SD, SVP, LOPCOW, and MEREC as part of a sensitivity, comparison, and simulation analyses. The CEBM method is a credible, reliable and stability objective criterion weighting method, as demonstrated by its sensitivity, comparison, and simulation analyses. The simulation analysis, in particular, showed that the CEBM method is effective in distinguishing the weights of the criteria and is stable across different scenarios. In conclusion, based on all of these evaluations, it is thought that the CEBM method can be used as an objective criterion weighting method and the proposed methodology will make substantial contributions to both the domain of cubic functions and the broader MCDM literature.

 In the realm of multi-criteria decision making MCDM literature, various approaches exist for quantifying the weight coefficients of criteria. In this study, unlike other methods of calculating weight coefficients, a mathematical model based on cubic interactions among criteria has been proposed CEBM-Cubic Effect-Based Measurement. This model aims to enrich the MCDM literature while providing a means to compute weight coefficients of criteria. The dataset employed in this investigation comprises criterion values extracted from the Global Innovation Index GII evaluations for 19 G20 countries. Through the analysis outcomes, the efficacy of the proposed methodology in objectively deriving criteria weight coefficients for different nations is demonstrated. Furthermore, a comparative analysis is conducted, juxtaposing the proposed method with other objective weighting techniques ENTROPY, CRITIC, SD, SVP, LOPCOW, and MEREC as part of a sensitivity, comparison, and simulation analyses. The CEBM method is a credible, reliable and stability objective criterion weighting method, as demonstrated by its sensitivity, comparison, and simulation analyses. The simulation analysis, in particular, showed that the CEBM method is effective in distinguishing the weights of the criteria and is stable across different scenarios. In conclusion, based on all of these evaluations, it is thought that the CEBM method can be used as an objective criterion weighting method and the proposed methodology will make substantial contributions to both the domain of cubic functions and the broader MCDM literature.

 In the realm of multi-criteria decision making MCDM literature, various approaches exist for quantifying the weight coefficients of criteria. In this study, unlike other methods of calculating weight coefficients, a mathematical model based on cubic interactions among criteria has been proposed CEBM-Cubic Effect-Based Measurement. This model aims to enrich the MCDM literature while providing a means to compute weight coefficients of criteria. The dataset employed in this investigation comprises criterion values extracted from the Global Innovation Index GII evaluations for 19 G20 countries. Through the analysis outcomes, the efficacy of the proposed methodology in objectively deriving criteria weight coefficients for different nations is demonstrated. Furthermore, a comparative analysis is conducted, juxtaposing the proposed method with other objective weighting techniques ENTROPY, CRITIC, SD, SVP, LOPCOW, and MEREC as part of a sensitivity, comparison, and simulation analyses. The CEBM method is a credible, reliable and stability objective criterion weighting method, as demonstrated by its sensitivity, comparison, and simulation analyses. The simulation analysis, in particular, showed that the CEBM method is effective in distinguishing the weights of the criteria and is stable across different scenarios. In conclusion, based on all of these evaluations, it is thought that the CEBM method can be used as an objective criterion weighting method and the proposed methodology will make substantial contributions to both the domain of cubic functions and the broader MCDM literature.

 Çok kriterli karar verme ÇKKV literatüründe, kriter ağırlık katsayılarını hesaplamak için çeşitli yaklaşımlar mevcuttur. Bu çalışmada, diğer ağırlık katsayıları hesaplama yöntemlerinden farklı olarak, kriterler arasındaki kübik etkileşimlere dayalı bir matematiksel model önerilmiştir Kübik Etki Tabanlı Ölçüm. Bu model, kriter ağırlık katsayılarını hesaplamak için bir araç sağlarken ÇKKV literatürünü zenginleştirmeyi amaçlamaktadır. Bu araştırmada kullanılan veri seti, 19 G20 ülkesi için Küresel İnovasyon Endeksi KEİ değerlendirmelerinden elde edilen kriter değerlerini içermektedir. Analiz sonuçları, önerilen metodolojinin farklı ülkeler için kriter ağırlık katsayılarını objektif olarak türetmede etkinliğini göstermektedir. Ayrıca, önerilen yöntem ile diğer objektif ağırlıklandırma yöntemleri ENTROPY, CRITIC, SD, SVP, LOPCOW ve MEREC arasında duyarlılık, karşılaştırma ve simülasyon analizleri kapsamında karşılaştırmalı bir analiz yapılmıştır. CEBM yöntemi, duyarlılık, karşılaştırma ve simülasyon analizleri ile gösterildiği üzere, güvenilir ve kararlı bir objektif kriter ağırlıklandırma yöntemidir. Özellikle simülasyon analizi, CEBM yönteminin kriterlerin ağırlıklarını ayırt etmede etkili olduğunu ve farklı senaryolarda kararlı olduğunu göstermiştir. Sonuç olarak, tüm bu değerlendirmelere göre CEBM yönteminin objektif bir kriter ağırlıklandırma yöntemi olarak kullanılabileceği ve önerilen metodolojinin hem kübik fonksiyonlar alanına, hem de ÇKKV literatürüne önemli katkılar sağlayacağı düşünülmektedir.

Article Details

A Novel Approach To Measuring Criterion Weights In Multiple Criteria Decision Making: Cubic Effect-Based Measurement (CEBM)

Authors:

Furkan Fahri Altıntaş

Publisher:

Eskişehir Osmangazi University

Main Topics:

Hesaplamalı İstatistik

Journal:

Nicel Bilimler Dergisi Vol.5 Issue 2, pp.151-195

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001308968

pISSN:

2667-8993

CEBM

cubic function

cubic effect valueCEBM

kübik fonksiyon

kübik etki değeri

Issues

Article Details

A Novel Approach To Measuring Criterion Weights In Multiple Criteria Decision Making: Cubic Effect-Based Measurement (CEBM)

Authors: Furkan Fahri Altıntaş

Publisher: Eskişehir Osmangazi University

Main Topics: Hesaplamalı İstatistik

Journal: Nicel Bilimler Dergisi Vol.5 Issue 2, pp.151-195

Document Type: Article

Publication Date: 12/2023

Document Language: English

Document ID (Org No.): 2001308968

pISSN: 2667-8993

CEBM

cubic function

cubic effect valueCEBM

kübik fonksiyon

kübik etki değeri

Issues

Authors:

Furkan Fahri Altıntaş

Publisher:

Eskişehir Osmangazi University

Main Topics:

Hesaplamalı İstatistik

Journal:

Nicel Bilimler Dergisi Vol.5 Issue 2, pp.151-195

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001308968

pISSN:

2667-8993