منابع مشابه
Pairwise Comparisons Simplified
This study examines the notion of generators of a pairwise comparisons matrix. Such approach decreases the number of pairwise comparisons from n · (n − 1) to n − 1. An algorithm of reconstructing of the PC matrix from its set of generators is presented.
متن کاملA simplified implementation of the least squares solution for pairwise comparisons matrices
This is a follow up to ”Solution of the least squares method problem of pairwise comparisons matrix” by Bozóki published by this journal in 2008. Familiarity with this paper is essential and assumed. For lower inconsistency and decreased accuracy, our proposed solutions run in seconds instead of days. As such, they may be useful for researchers willing to use the least squares method (LSM) inst...
متن کاملActive Ranking using Pairwise Comparisons
This paper examines the problem of ranking a collection of objects using pairwise comparisons (rankings of two objects). In general, the ranking of n objects can be identified by standard sorting methods using n log2 n pairwise comparisons. We are interested in natural situations in which relationships among the objects may allow for ranking using far fewer pairwise comparisons. Specifically, w...
متن کاملEfficient Ranking from Pairwise Comparisons
The ranking of n objects based on pairwise comparisons is a core machine learning problem, arising in recommender systems, ad placement, player ranking, biological applications and others. In many practical situations the true pairwise comparisons cannot be actively measured, but a subset of all n(n−1)/2 comparisons is passively and noisily observed. Optimization algorithms (e.g., the SVM) coul...
متن کاملPairwise Comparisons Rating Scale Paradox
This study demonstrates that incorrect data are entered into a pairwise comparisons matrix for processing into weights for the data collected by a rating scale. Unprocessed rating scale data lead to a paradox. A solution to it, based on normalization, is proposed. This is an essential correction for virtually all pairwise comparisons methods using rating scales. The illustration of the relative...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2015
ISSN: 0096-3003
DOI: 10.1016/j.amc.2014.12.069