𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A method for approximating pairwise comparison matrices by consistent matrices

✍ Scribed by János Fülöp


Publisher
Springer US
Year
2008
Tongue
English
Weight
286 KB
Volume
42
Category
Article
ISSN
0925-5001

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Consistency measures for pairwise compar
✍ Jonathan Barzilai 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 114 KB

We propose new measures of consistency of additive and multiplicative pairwise comparison matrices. These measures, the relati6e consistency and relati6e error, are easy to compute and have clear and simple algebraic and geometric meaning, interpretation and properties. The correspondence between th

On the optimal consistent approximation
✍ Moody T. Chu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 729 KB

## Consistency retrieval from a biased relative preference table is an imperative task in decision theory. This paper considers the least squares approximation of a pairwise comparison matrix by consistent matrices. It is observed that the highly nonlinear manifold of consistent matrices can be c

About a consistency index for pairwise c
✍ 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)

A general unified framework for pairwise
✍ B. Cavallo; L. D'Apuzzo 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 186 KB

In a multicriteria decision making context, a pairwise comparison matrix A = (a ij ) is a helpful tool to determine the weighted ranking on a set X of alternatives or criteria. The entry a ij of the matrix can assume different meanings: a ij can be a preference ratio (multiplicative case) or a prefe