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Incomplete pairwise comparative judgments: Recent developments and a proposed method

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The current paper deals with incomplete Pairwise Comparisons (‘PWs’) when a large number of alternatives is evaluated. | Incomplete pairwise comparative judgments Recent developments and a proposed method Decision Science Letters 8 2019 261 274 Contents lists available at GrowingScience Decision Science Letters homepage www.GrowingScience.com dsl Incomplete pairwise comparative judgments Recent developments and a proposed method Melfi A. Alrasheedia aDepartment of Quantitative Methods School of Business King Faisal University Hofuf Saudi Arabia CHRONICLE ABSTRACT Article history The current paper deals with incomplete Pairwise Comparisons PWs when a large number of Received December 2 2018 alternatives is evaluated. PWs are used to quantify decision maker s preferences both ordinal Received in revised format and cardinal in multi-criteria decision-making settings for eliciting the priorities of alternative January 26 2019 options or weights of criteria. We use additive PWs with a different scale and show how 2- Accepted January 27 2019 Available online diagonal samples are used to deduce the implied weights thus prioritizing the alternatives. As a January 28 2019 consequence the number of PWs in incomplete judgment decision matrices is greatly reduced Keywords while preserving consistency and quality of the results. Computational results are provided and Decision analysis an example from the literature is applied to demonstrate the effectiveness of this method. Diagonal sampling Incomplete judgments MCDM Pairwise comparisons 2018 by the authors licensee Growing Science Canada. 1. Introduction Most of the multi-criteria decision-making approaches consist of ranking or weighing a set of alternatives with regard to a set of criteria Lootsma 1999 Toloie-Eshlaghy amp Homayonfar 2011 . Among the existing methods the pairwise comparison PW approach is commonly used and is attractive as the desired decision is broken down into smaller sub-decisions on two alternatives at a time there is a possibility of checking the internal logic of the comparisons and thus commenting on the quality of .