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Characterizations of consistent pairwise comparison matrices over abelian linearly ordered groups

✍ Scribed by Bice Cavallo; Livia D'Apuzzo

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 365 KB
Volume: 25
Category: Article
ISSN: 0884-8173
DOI: 10.1002/int.20438

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✦ Synopsis

We consider the framework of pairwise comparison matrices over abelian linearly ordered groups. We introduce the notion of -proportionality that allows us to provide new characterizations of the consistency, efÞcient algorithms for checking the consistency and for building a consistent matrix. Moreover, we provide a new consistency index.

📜 SIMILAR VOLUMES

About a consistency index for pairwise c

About a consistency index for pairwise comparison matrices over a divisible alo-group

✍ B. Cavallo; L. D'Apuzzo; M. Squillante 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 170 KB

Pairwise comparison matrices (PCMs) over an Abelian linearly ordered (alo)-group G = (G, , ≤ ) have been introduced to generalize multiplicative, additive and fuzzy ones and remove some consistency drawbacks. Under the assumption of divisibility of G, for each PCM A = (a ij ), a -mean vector w m (A)