A novel technique for criterion weighting in multi-criteria decision making: The Extended Standard Deviation (ESD) method.

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Bibliographic Details
Title:	A novel technique for criterion weighting in multi-criteria decision making: The Extended Standard Deviation (ESD) method.
Alternate Title:	Çok kriterli karar verme kapsamında kriter ağırlıklandırılmasi için yeni bir teknik: Genişletilmiş Standart Sapma (GSS) yöntemi.
Authors:	Altıntaş, Furkan Fahri¹ furkanfahrialtintas@yahoo.com
Source:	Pamukkale University Journal of Engineering Sciences. 2026, Vol. 32 Issue 3, p447-458. 12p.
Subjects:	Multiple criteria decision making, Standard deviations, Statistics, Sensitivity analysis, Comparative studies, Simulation methods & models
Abstract (English):	Multi-Criteria Decision Making (MCDM) methods provide systematic approaches for evaluating alternatives under multiple criteria. Determining the relative importance of criteria is a critical step that directly affects the reliability of the obtained results. In this study, the Extended Standard Deviation (ESD) method is proposed to overcome the limitations of the classical Standard Deviation (SD) method. The proposed method offers a more comprehensive weighting process by considering not only the internal variations of individual criteria but also their effect with comprehensive value of all criteria. Unlike conventional SD, the ESD method calculates weights based on both the individual distributions of criteria and their effects on other criteria. This approach enables a more holistic evaluation of the degree of contrast among criteria and the overall structure of the dataset. The primary objective of this study is to conduct a comparative analysis of the proposed method against the classical SD method and other widely used objective weighting techniques, thereby identifying their respective advantages and limitations. To assess the applicability of the proposed method, sensitivity, comparative, and simulation analyses were performed, and the method was statistically evaluated by applying it to different decision matrices. The findings indicate that the proposed method provides a robust and reliable alternative in objective weighting processes. [ABSTRACT FROM AUTHOR]
Abstract (Turkish):	Çok Kriterli Karar Verme (MCDM) yöntemleri, birden fazla kriter altında alternatifleri değerlendirmek için sistematik yaklaşımlar sunar. Kriterlerin göreli öneminin belirlenmesi, elde edilen sonuçların güvenilirliğini doğrudan etkileyen kritik bir adımdır. Bu çalışmada, klasik Standart Sapma (SS) yönteminin sınırlamalarını aşmak amacıyla Genişletilmiş Standart Sapma (GSS) yöntemi önerilmektedir. Önerilen yöntem, yalnızca bireysel kriterlerin içsel varyasyonlarını değil, aynı zamanda diğer kriterlerle olan karşılıklı ilişkilerini de dikkate alarak daha kapsamlı bir ağırlıklandırma süreci sunmaktadır. Geleneksel SS'nın aksine, GSS yöntemi, kriterlerin bireysel dağılımlarını ve bunların bütünsel olarak diğer kriterler üzerindeki etkilerini dikkate alarak ağırlıkları hesaplamaktadır. Bu yaklaşım, kriterler arasındaki karşıtlık derecesinin ve veri kümesinin genel yapısının daha bütünsel bir değerlendirilmesini sağlar. Bu çalışmanın temel amacı, önerilen yöntemi klasik SS yöntemi ve diğer yaygın kullanılan objektif ağırlıklandırma teknikleri ile karşılaştırmalı bir analiz yaparak her birinin avantajlarını ve sınırlamalarını belirlemektir. Önerilen yöntemin uygulanabilirliğini değerlendirmek için duyarlılık, karşılaştırmalı ve simülasyon analizleri yapılmış ve yöntem, farklı karar matrislerine uygulanarak istatistiksel olarak değerlendirilmiştir. Elde edilen bulgular, önerilen yönteminin objektif ağırlıklandırma süreçlerinde güçlü ve güvenilir bir alternatif sunduğunu göstermektedir. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	Multi-Criteria Decision Making (MCDM) methods provide systematic approaches for evaluating alternatives under multiple criteria. Determining the relative importance of criteria is a critical step that directly affects the reliability of the obtained results. In this study, the Extended Standard Deviation (ESD) method is proposed to overcome the limitations of the classical Standard Deviation (SD) method. The proposed method offers a more comprehensive weighting process by considering not only the internal variations of individual criteria but also their effect with comprehensive value of all criteria. Unlike conventional SD, the ESD method calculates weights based on both the individual distributions of criteria and their effects on other criteria. This approach enables a more holistic evaluation of the degree of contrast among criteria and the overall structure of the dataset. The primary objective of this study is to conduct a comparative analysis of the proposed method against the classical SD method and other widely used objective weighting techniques, thereby identifying their respective advantages and limitations. To assess the applicability of the proposed method, sensitivity, comparative, and simulation analyses were performed, and the method was statistically evaluated by applying it to different decision matrices. The findings indicate that the proposed method provides a robust and reliable alternative in objective weighting processes. [ABSTRACT FROM AUTHOR]
ISSN:	13007009
DOI:	10.65206/pajes.07683