Furtado, Susana; Johnson, Charles Efficient vectors for block perturbed consistent matrices. (English) Zbl 07805918 SIAM J. Matrix Anal. Appl. 45, No. 1, 601-618 (2024). MSC: 90Cxx 90B50 91B06 05C20 15B48 15A18 PDFBibTeX XMLCite \textit{S. Furtado} and \textit{C. Johnson}, SIAM J. Matrix Anal. Appl. 45, No. 1, 601--618 (2024; Zbl 07805918) Full Text: DOI arXiv
Furtado, Susana; Johnson, Charles R. Efficiency of any weighted geometric mean of the columns of a reciprocal matrix. (English) Zbl 1527.15036 Linear Algebra Appl. 680, 83-92 (2024). MSC: 15B48 05C20 90B50 91B06 PDFBibTeX XMLCite \textit{S. Furtado} and \textit{C. R. Johnson}, Linear Algebra Appl. 680, 83--92 (2024; Zbl 1527.15036) Full Text: DOI
Furtado, Susana Efficient vectors for double perturbed consistent matrices. (English) Zbl 1526.90022 Optimization 72, No. 11, 2679-2701 (2023). MSC: 90B50 91B06 15A18 PDFBibTeX XMLCite \textit{S. Furtado}, Optimization 72, No. 11, 2679--2701 (2023; Zbl 1526.90022) Full Text: DOI
Furtado, Susana; Johnson, Charles The complete set of efficient vectors for a reciprocal matrix. arXiv:2305.05307 Preprint, arXiv:2305.05307 [math.CO] (2023). MSC: 90B50 91B06 05C20 15B48 BibTeX Cite \textit{S. Furtado} and \textit{C. Johnson}, ``The complete set of efficient vectors for a reciprocal matrix'', Preprint, arXiv:2305.05307 [math.CO] (2023) Full Text: arXiv OA License
Furtado, Susana; Johnson, Charles Efficient vectors in priority setting methodology. arXiv:2305.04886 Preprint, arXiv:2305.04886 [math.OC] (2023). MSC: 90B50 91B06 15A60 05C20 15B48 BibTeX Cite \textit{S. Furtado} and \textit{C. Johnson}, ``Efficient vectors in priority setting methodology'', Preprint, arXiv:2305.04886 [math.OC] (2023) Full Text: arXiv OA License
Krivulin, Nikolai Algebraic solution to box-constrained bi-criteria problem of rating alternatives through pairwise comparisons. (English) Zbl 07655854 Kybernetika 58, No. 5, 665-690 (2022). MSC: 90C24 15A80 90B50 90C29 90C47 PDFBibTeX XMLCite \textit{N. Krivulin}, Kybernetika 58, No. 5, 665--690 (2022; Zbl 07655854) Full Text: DOI arXiv
Fernandes, Rosário; Furtado, Susana Efficiency of the principal eigenvector of some triple perturbed consistent matrices. (English) Zbl 1490.91062 Eur. J. Oper. Res. 298, No. 3, 1007-1015 (2022). MSC: 91B06 05C40 15A18 90B50 PDFBibTeX XMLCite \textit{R. Fernandes} and \textit{S. Furtado}, Eur. J. Oper. Res. 298, No. 3, 1007--1015 (2022; Zbl 1490.91062) Full Text: DOI
Krivulin, Nikolai Application of tropical optimization for solving multicriteria problems of pairwise comparisons using log-Chebyshev approximation. arXiv:2205.10969 Preprint, arXiv:2205.10969 [math.OC] (2022). MSC: 15A80 90C24 41A50 90C29 90B50 BibTeX Cite \textit{N. Krivulin}, ``Application of tropical optimization for solving multicriteria problems of pairwise comparisons using log-Chebyshev approximation'', Preprint, arXiv:2205.10969 [math.OC] (2022) Full Text: DOI arXiv OA License
Chetverushkin, B. N.; Sudakov, V. A. Factor modeling for innovative-active enterprises. (Russian. English summary) Zbl 1439.90044 Mat. Model. 32, No. 3, 115-126 (2020). MSC: 90B50 15A18 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} and \textit{V. A. Sudakov}, Mat. Model. 32, No. 3, 115--126 (2020; Zbl 1439.90044) Full Text: DOI MNR
Bebiano, Natália; Fernandes, Rosário; Furtado, Susana Reciprocal matrices: properties and approximation by a transitive matrix. (English) Zbl 1449.15081 Comput. Appl. Math. 39, No. 2, Paper No. 50, 22 p. (2020). MSC: 15B99 15A60 90B50 05C50 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Comput. Appl. Math. 39, No. 2, Paper No. 50, 22 p. (2020; Zbl 1449.15081) Full Text: DOI Link
Benítez, Julio; Izquierdo, Joaquín How to take a decision. Analytic hierarchy process the other use of matrices. (Spanish) Zbl 1455.90083 Gac. R. Soc. Mat. Esp. 22, No. 1, 61-79 (2019). MSC: 90B50 62C05 15A06 91B06 90C08 PDFBibTeX XMLCite \textit{J. Benítez} and \textit{J. Izquierdo}, Gac. R. Soc. Mat. Esp. 22, No. 1, 61--79 (2019; Zbl 1455.90083)
Krivulin, Nikolai Algebraic solution to constrained bi-criteria decision problem of rating alternatives through pairwise comparisons. arXiv:1911.09700 Preprint, arXiv:1911.09700 [math.OC] (2019). MSC: 90C24 15A80 90B50 90C29 90C47 BibTeX Cite \textit{N. Krivulin}, ``Algebraic solution to constrained bi-criteria decision problem of rating alternatives through pairwise comparisons'', Preprint, arXiv:1911.09700 [math.OC] (2019) Full Text: DOI arXiv OA License
Pavluš, Miron; Tomeš, Rostislav; Malec, Lukáš Two proofs and one algorithm related to the analytic hierarchy process. (English) Zbl 1437.90089 J. Appl. Math. 2018, Article ID 5241537, 9 p. (2018). MSC: 90B50 91B06 15A18 PDFBibTeX XMLCite \textit{M. Pavluš} et al., J. Appl. Math. 2018, Article ID 5241537, 9 p. (2018; Zbl 1437.90089) Full Text: DOI
Krivulin, N.; Sergeev, S. Tropical optimization techniques in multi-criteria decision making with Analytical Hierarchy Process. arXiv:1801.10524 Preprint, arXiv:1801.10524 [math.OC] (2018). MSC: 90B50 15A80 90C47 41A50 15B48 BibTeX Cite \textit{N. Krivulin} and \textit{S. Sergeev}, ``Tropical optimization techniques in multi-criteria decision making with Analytical Hierarchy Process'', Preprint, arXiv:1801.10524 [math.OC] (2018) Full Text: arXiv OA License
Qu, Chang; Yu, Xiaozhong; Zhou, Xinghui Aggregating method of fuzzy complementary matrices based on generalized consistency transformation. (Chinese. English summary) Zbl 1349.15080 Math. Pract. Theory 45, No. 4, 193-199 (2015). MSC: 15B15 90B50 PDFBibTeX XMLCite \textit{C. Qu} et al., Math. Pract. Theory 45, No. 4, 193--199 (2015; Zbl 1349.15080)
Krivulin, Nikolai Rating alternatives from pairwise comparisons by solving tropical optimization problems. arXiv:1504.00800 Preprint, arXiv:1504.00800 [math.OC] (2015). MSC: 65K10 15A80 41A50 90B50 91B08 BibTeX Cite \textit{N. Krivulin}, ``Rating alternatives from pairwise comparisons by solving tropical optimization problems'', Preprint, arXiv:1504.00800 [math.OC] (2015) Full Text: DOI arXiv OA License
Krivulin, N. Using tropical optimization techniques to evaluate alternatives via pairwise comparisons. arXiv:1503.04003 Preprint, arXiv:1503.04003 [math.OC] (2015). MSC: 65K10 15A80 65K05 41A50 90B50 BibTeX Cite \textit{N. Krivulin}, ``Using tropical optimization techniques to evaluate alternatives via pairwise comparisons'', Preprint, arXiv:1503.04003 [math.OC] (2015) Full Text: DOI arXiv OA License
Bozóki, Sándor Inefficient weights from pairwise comparison matrices with arbitrarily small inconsistency. (English) Zbl 1301.15009 Optimization 63, No. 12, 1893-1901 (2014). MSC: 15A18 91B08 90B50 90C29 PDFBibTeX XMLCite \textit{S. Bozóki}, Optimization 63, No. 12, 1893--1901 (2014; Zbl 1301.15009) Full Text: DOI Link
Gursoy, Buket Benek; Mason, Oliver; Sergeev, Sergeĭ The analytic hierarchy process, max algebra and multi-objective optimisation. (English) Zbl 1282.90087 Linear Algebra Appl. 438, No. 7, 2911-2928 (2013). MSC: 90B50 15A80 90C29 PDFBibTeX XMLCite \textit{B. B. Gursoy} et al., Linear Algebra Appl. 438, No. 7, 2911--2928 (2013; Zbl 1282.90087) Full Text: DOI arXiv
Truc, Nguyen Thi Ngoc; Goto, Hiroyuki; Takahashi, Hirotaka; Yoshida, Shotaro Enhanced framework for determining time buffers in the MPL-CCPM representation: Case of a single project. (English) Zbl 1252.90038 Int. J. Inf. Sci. Comput. Math. 4, No. 1, 1-18 (2011). MSC: 90B50 15A80 90B35 93C65 PDFBibTeX XMLCite \textit{N. T. N. Truc} et al., Int. J. Inf. Sci. Comput. Math. 4, No. 1, 1--18 (2011; Zbl 1252.90038) Full Text: Link
Huo, Liang-An; Lan, Jibin; Wang, Zhongxing New parametric prioritization methods for an analytical hierarchy process based on a pairwise comparison matrix. (English) Zbl 1235.91047 Math. Comput. Modelling 54, No. 11-12, 2736-2749 (2011). MSC: 91B06 15B51 90B50 62F07 PDFBibTeX XMLCite \textit{L.-A. Huo} et al., Math. Comput. Modelling 54, No. 11--12, 2736--2749 (2011; Zbl 1235.91047) Full Text: DOI
Brunelli, Matteo A note on the article “Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean”. (English) Zbl 1252.90094 Fuzzy Sets Syst. 176, No. 1, 76-78 (2011). MSC: 90C70 90B50 15B15 PDFBibTeX XMLCite \textit{M. Brunelli}, Fuzzy Sets Syst. 176, No. 1, 76--78 (2011; Zbl 1252.90094) Full Text: DOI
Engel, Konrad; Kiesel, Antje Approximated matrix decomposition for IMRT planning with multileaf collimators. (English) Zbl 1231.90399 OR Spectrum 33, No. 1, 149-172 (2011). MSC: 90C90 92C50 15B48 90B50 PDFBibTeX XMLCite \textit{K. Engel} and \textit{A. Kiesel}, OR Spectrum 33, No. 1, 149--172 (2011; Zbl 1231.90399) Full Text: DOI
Ramík, Jaroslav; Korviny, Petr Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean. (English) Zbl 1186.90145 Fuzzy Sets Syst. 161, No. 11, 1604-1613 (2010). MSC: 90C70 90B50 15B15 PDFBibTeX XMLCite \textit{J. Ramík} and \textit{P. Korviny}, Fuzzy Sets Syst. 161, No. 11, 1604--1613 (2010; Zbl 1186.90145) Full Text: DOI
de Sampaio, Raimundo J. B.; Sun, Wenyu; Yuan, Jin Yun Preconditioning approaches related to canonical correlation by use of cyclic form. (English) Zbl 1175.93094 Int. J. Syst. Sci. 40, No. 10, 1087-1094 (2009). MSC: 93B60 90B50 15A12 PDFBibTeX XMLCite \textit{R. J. B. de Sampaio} et al., Int. J. Syst. Sci. 40, No. 10, 1087--1094 (2009; Zbl 1175.93094) Full Text: DOI
Zhan, Tangsen; Qiu, Wangren; Feng, Jianwen On studying properties of several particular matrices and their applications. (Chinese. English summary) Zbl 1174.15332 Math. Pract. Theory 38, No. 4, 137-141 (2008). MSC: 15A18 90B50 PDFBibTeX XMLCite \textit{T. Zhan} et al., Math. Pract. Theory 38, No. 4, 137--141 (2008; Zbl 1174.15332)
Ahues, Mario; Duvivier, David; Largillier, Alain; Meskens, Nadine Iterative refinement for invariant subspaces of matrices with applications to the Promethee-Gaia method. (English) Zbl 1168.90495 Int. J. Pure Appl. Math. 47, No. 4, 501-518 (2008). MSC: 90B50 65F15 15A06 49M15 90C52 PDFBibTeX XMLCite \textit{M. Ahues} et al., Int. J. Pure Appl. Math. 47, No. 4, 501--518 (2008; Zbl 1168.90495)
Bozóki, Sándor; Rapcsák, Tamás On Saaty’s and Koczkodaj’s inconsistencies of pairwise comparison matrices. (English) Zbl 1177.90205 J. Glob. Optim. 42, No. 2, 157-175 (2008). MSC: 90B50 15A18 PDFBibTeX XMLCite \textit{S. Bozóki} and \textit{T. Rapcsák}, J. Glob. Optim. 42, No. 2, 157--175 (2008; Zbl 1177.90205) Full Text: DOI Link
Genma, Koichi; Kato, Yutaka; Sekitani, Kazuyuki Matrix balancing problem and binary AHP. (English) Zbl 1142.15301 J. Oper. Res. Soc. Japan 50, No. 4, 515-539 (2007). MSC: 15A18 90B50 90C29 PDFBibTeX XMLCite \textit{K. Genma} et al., J. Oper. Res. Soc. Japan 50, No. 4, 515--539 (2007; Zbl 1142.15301) Full Text: DOI
Xing, Yan; Zeng, Wenyi; Li, Hongxing A kind of method to calculate the priority vector of fuzzy reciprocal matrix. (Chinese. English summary) Zbl 1174.90631 J. Beijing Norm. Univ., Nat. Sci. 43, No. 2, 114-119 (2007). MSC: 90B50 03E72 15A99 PDFBibTeX XMLCite \textit{Y. Xing} et al., J. Beijing Norm. Univ., Nat. Sci. 43, No. 2, 114--119 (2007; Zbl 1174.90631)
Yue, Yanchun; Huang, Tingzhu A method for error reciprocal variable weight combined forecasting. (Chinese. English summary) Zbl 1174.90643 J. Univ. Electron. Sci. Technol. China 36, No. 2, 349-351 (2007). MSC: 90B50 15A99 PDFBibTeX XMLCite \textit{Y. Yue} and \textit{T. Huang}, J. Univ. Electron. Sci. Technol. China 36, No. 2, 349--351 (2007; Zbl 1174.90643)
Ji, Jianhua; Zeng, Xuelan Weight calculation method of incomplete fuzzy complementary judgement matrix. (Chinese. English summary) Zbl 1093.65043 J. Liaoning Norm. Univ., Nat. Sci. 29, No. 1, 8-11 (2006). MSC: 65F30 15B33 65F20 90B50 PDFBibTeX XMLCite \textit{J. Ji} and \textit{X. Zeng}, J. Liaoning Norm. Univ., Nat. Sci. 29, No. 1, 8--11 (2006; Zbl 1093.65043)
Denardo, Eric V.; Rothblum, Uriel G. Totally expanding multiplicative systems. (English) Zbl 1078.15017 Linear Algebra Appl. 406, 142-158 (2005). Reviewer: Václav Burjan (Praha) MSC: 15B48 15A18 90B50 PDFBibTeX XMLCite \textit{E. V. Denardo} and \textit{U. G. Rothblum}, Linear Algebra Appl. 406, 142--158 (2005; Zbl 1078.15017) Full Text: DOI
Hartfiel, Darald J. Nonhomogeneous matrix products. (English) Zbl 1011.15006 Singapore: World Scientific. x, 224 p. (2002). Reviewer: Michal Zajac (Bratislava) MSC: 15A30 15-02 40A20 91B38 15B48 68W30 90B50 PDFBibTeX XMLCite \textit{D. J. Hartfiel}, Nonhomogeneous matrix products. Singapore: World Scientific (2002; Zbl 1011.15006)
Xu, Zeshui; Da, Qingli A common compatibility index of judgement matrices. (Chinese. English summary) Zbl 1012.15017 J. Southeast Univ., Nat. Sci. 31, No. 6, 94-97 (2001). MSC: 15B57 90B50 PDFBibTeX XMLCite \textit{Z. Xu} and \textit{Q. Da}, J. Southeast Univ., Nat. Sci. 31, No. 6, 94--97 (2001; Zbl 1012.15017)
Donegan, H. A.; McMaster, T. B. M. Directional instability in the eigenvectors of positive reciprocal matrices. (English) Zbl 0971.90038 J. Multi-Criteria Decis. Anal. 8, No. 4, 200-205 (1999). MSC: 90B50 15A15 PDFBibTeX XMLCite \textit{H. A. Donegan} and \textit{T. B. M. McMaster}, J. Multi-Criteria Decis. Anal. 8, No. 4, 200--205 (1999; Zbl 0971.90038) Full Text: DOI
Schwenk, Allen J. The steady state sabbatical rate. (English) Zbl 1005.90547 Math. Mag. 71, No. 3, 195-200 (1998). MSC: 90B50 15A18 PDFBibTeX XMLCite \textit{A. J. Schwenk}, Math. Mag. 71, No. 3, 195--200 (1998; Zbl 1005.90547) Full Text: DOI
Wei, Cuiping; Zhang, Zhimin; Zhou, Hui Shan The Hadamard product of a positive reciprocal matrix and some results in AHP. (English) Zbl 0987.90050 Math. Comput. Modelling 28, No. 10, 59-71 (1998). MSC: 90B50 15A18 90C29 PDFBibTeX XMLCite \textit{C. Wei} et al., Math. Comput. Modelling 28, No. 10, 59--71 (1998; Zbl 0987.90050) Full Text: DOI
Křovák, Jiří Ranking alternatives - comparison of different methods based on binary comparison matrices. (English) Zbl 0632.90034 Eur. J. Oper. Res. 32, 86-95 (1987). Reviewer: Th.Kämpke MSC: 90B50 62J15 15A18 91B06 PDFBibTeX XMLCite \textit{J. Křovák}, Eur. J. Oper. Res. 32, 86--95 (1987; Zbl 0632.90034) Full Text: DOI