Abstract




 
   

IJE TRANSACTIONS C: Aspects Vol. 28, No. 12 (December 2015) 1746-1755   

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  A COMMON WEIGHT MULTI-CRITERIA DECISION ANALYSIS-DATA ENVELOPMENT ANALYSIS APPROACH WITH ASSURANCE REGION FOR WEIGHT DERIVATION FROM PAIRWISE COMPARISON MATRICES
 
S. M. Hatefi, S. A. Torabi and N. Pourreza
 
( Received: September 21, 2014 – Accepted: December 24, 2015 )
 
 

Abstract    Deriving weights from a pairwise comparison matrix (PCM) is a subject for which a wide range of methods have ever been presented. This paper proposes a common weight multi criteria decision analysis-data envelopment analysis (MCDA-DEA) approach with assurance region for weight derivation from a PCM. The proposed model has several merits over the competing approaches and removes the drawbacks of the well-known DEAHP and DEA/AR methods. Some numerical examples are provided from the literature in order to confirm the merits of the proposed method and its applications in multi criteria decision making. Results disclose the advantages of the proposed approach.

 

Keywords    Analytic hierarchy process; Data envelopment analysis; DEAHP; Common weights; Assurance region.

 

چکیده    استخراج اوزان از یک ماتریس مقایسات زوجی موضوعی است که طیف وسیعی از روشها برای آن اراپه شده است. در این مقاله یک رویکرد تحلیل تصمیم گیری چند معیاره وزن مشترک-تحلیل پوششی داده ها با ناحیه اطمینان برای استخراج اوزان از یک ماتریس مقایسات زوجی پیشنهاد شده است. روش پیشنهادی قدرت تمایز بیشتری نسبت به روشهای مرسوم برای استخراج اوزان دارد. علاوه بر این روش پیشنهادی مزایای متعددی در مقایسه با روشهای رقیب دارد و معایب روشهای DEAHP و DEA/AR را برطرف می کند.به منظور تایید مزایای روش پیشنهادی و کاربرد آن در تصمیم گیری چندمعیاره چند مثال عددی و یک مطالعه موردی از ادبیات موضوع گرفته شده است. نتایج مزایای روش پیشنهادی را آشکار می کنند.

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