On the extraction of weights from pairwise comparison matrices
نویسندگان
چکیده
منابع مشابه
On the extraction of weights from pairwise comparison matrices
We study properties of weight extraction methods for pairwise comparison matrices that minimize suitable measures of inconsistency, average error gravitymeasures, including one that leads to the geometric row means. The measures share essential global properties with the AHP inconsistency measure. By embedding the geometric mean in a larger class of methods we shed light on the choice between...
متن کاملDeriving weights from general pairwise comparison matrices
The problem of deriving weights from pairwise comparison matrices has been treated extensively in the literature. Most of the results are devoted to the case when the matrix under consideration is reciprocally symmetric (i.e., the i, j-th element of the matrix is reciprocal to its j, i-th element for each i and j). However, there are some applications of the framework when the underlying matric...
متن کاملA note on deriving weights from pairwise comparison ratio matrices
This paper addresses the Cook and Kress method regarding the use of mathematical programming to derive weights from pairwise comparison ratio matrices. We note that the Cook and Kress formulation has the shortcoming that alternative optimal solutions may occur, which would lead to an infinite set of possible weights. This paper proposes to resolve the problem by formulating a Phase II optimizat...
متن کاملDeriving Weights from Pairwise Comparison Matrices: the Additive Case
The foundations are laid for an additive version of the Analytic Hierarchy Process by constructing a framework for the study of multiplicative and additive pairwise comparison matrices and the relations between them. In particular, it will be proved that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent additive judgements matrices is the ar...
متن کاملInferring efficient weights from pairwise comparison
Several Multi-Criteria-Decision-Making methodologies assume the existence of weights associated with the different criteria, reflecting their relative importance. One of the most popular ways to infer such weights is the Analytic Hierarchy Process, which constructs first a matrix of pairwise comparisons, from which weights are derived following one out of many existing procedures, such as the e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Central European Journal of Operations Research
سال: 2011
ISSN: 1435-246X,1613-9178
DOI: 10.1007/s10100-011-0212-9