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- W3204245809 abstract "In the Analytic Hierarchy process, a method used in Decision Making, it may be important to approximate a pairwise comparison matrix (PC matrix) by a consistent one. In this context, the notion of efficient vector for a PC matrix arises. In this paper we describe all efficient vectors for an n×n comparison pairwise matrix obtained from a consistent one by perturbing one entry above the main diagonal, and the corresponding reciprocal entry. As a consequence, we give a simple proof of the result obtained by K. Ábele-Nagy and S. Bozóki (2016) that states that the principal eigenvector of a simple perturbed consistent matrix is efficient. In addition, we consider a set of non-efficient vectors associated with the simple perturbed consistent matrix and describe all the efficient vectors that dominate each vector in that set." @default.
- W3204245809 created "2021-10-11" @default.
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- W3204245809 date "2021-12-01" @default.
- W3204245809 modified "2023-10-17" @default.
- W3204245809 title "Efficient vectors for simple perturbed consistent matrices" @default.
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- W3204245809 doi "https://doi.org/10.1016/j.ijar.2021.09.007" @default.
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