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المؤلفZhang, Haiqing
المؤلفSekhari, Aicha
المؤلفOuzrout, Yacine
المؤلفBouras, Abdelaziz
تاريخ الإتاحة2023-04-09T08:34:52Z
تاريخ النشر2014
اسم المنشورMathematical Problems in Engineering
المصدرScopus
معرّف المصادر الموحدhttp://dx.doi.org/10.1155/2014/989726
معرّف المصادر الموحدhttp://hdl.handle.net/10576/41770
الملخصSatisfying consistency requirements of pairwise comparison matrix (PCM) is a critical step in decision making methodologies. An algorithm has been proposed to find a new modified consistent PCM in which it can replace the original inconsistent PCM in analytic hierarchy process (AHP) or in fuzzy AHP. This paper defines the modified consistent PCM by the original inconsistent PCM and an adjustable consistent PCM combined. The algorithm adopts a segment tree to gradually approach the greatest lower bound of the distance with the original PCM to obtain the middle value of an adjustable PCM. It also proposes a theorem to obtain the lower value and the upper value of an adjustable PCM based on two constraints. The experiments for crisp elements show that the proposed approach can preserve more of the original information than previous works of the same consistent value. The convergence rate of our algorithm is significantly faster than previous works with respect to different parameters. The experiments for fuzzy elements show that our method could obtain suitable modified fuzzy PCMs. 2014 Haiqing Zhang et al.
اللغةen
الناشرHindawi Publishing Corporation
الموضوعAlgorithms
Analytic hierarchy process
Experiments
Hierarchical systems
Trees (mathematics)
العنوانOptimal inconsistency repairing of pairwise comparison matrices using integrated linear programming and eigenvector methods
النوعArticle
رقم المجلد2014


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