کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
480180 1446088 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A heuristic method to rectify intransitive judgments in pairwise comparison matrices
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A heuristic method to rectify intransitive judgments in pairwise comparison matrices
چکیده انگلیسی

This paper investigates the effects of intransitive judgments on the consistency of pairwise comparison matrices. Statistical evidence regarding the occurrence of intransitive judgements in pairwise matrices of acceptable consistency is gathered by using a Monte–Carlo simulation, which confirms that relatively high percentage of comparison matrices, satisfying Saaty’s CR criterion are ordinally inconsistent. It is also shown that ordinal inconsistency does not necessarily decrease in the group aggregation process, in contrast with cardinal inconsistency. A heuristic algorithm is proposed to improve ordinal consistency by identifying and eliminating intransitivities in pairwise comparison matrices. The proposed algorithm generates near-optimal solutions and outperforms other tested approaches with respect to computation time.


► We study the effects of intransitive judgments on the consistency by simulation.
► We show that matrices, satisfying the CR criterion could be ordinally inconsistent.
► We show that ordinal inconsistency may increase in group aggregation.
► We propose a heuristic algorithm to improve ordinal consistency.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Operational Research - Volume 216, Issue 2, 16 January 2012, Pages 420–428
نویسندگان
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