| Academic papers |
| No. | Ｔitle URL, Journal, Vol( No), Start Page- End Page, Publication date, DOI
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| 1 | Calculation of Maximum Eigenvalue of 3rd Order Pairwise Comparison Matrices in AHP —Comparison between Bisection, Secant and Newton Methods— , , ( 69), 1- 7, Mar. 2022, https://doi.org/10.51073/16919 |
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| 3 |
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| 4 | Calculation of Priority Weight of 3rd Order Pairwise Comparison Matrix by Excel , The Fudai Keizai Ronshu, 67( 1), 115- 121, Aug. 2021, https://doi.org/10.15099/00021313 |
| 5 | On a maximum eigenvalue of third-order pairwise comparison matrix in analytic hierarchy process and convergence of Newton's method , Operations Research Forum, 2, 1- 11, Jul. 8, 2021,
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| 6 | COMPUTATIONAL STUDY OF CHARACTERISTIC POLYNOMIAL OF 4TH ORDER PCM IN AHP  , Bulletin of informatics and cybernetics, 53( 3), 1- 12, Apr. 2021, https://doi.org/10.5109/4372243 |
| 7 | A Note on 3rd and 4th Order Pairwise Comparison Matrices in AHP , Reports of the Faculty of Science and Technology, Oita University, 68, 7- 12, Mar. 2021, https://doi.org/10.51073/16817 |
| 8 | On convergence of Newton method for the characteristic equation of 4th order pairwise comparison matrix in AHP , , , 1- 8, Mar. 2021, https://doi.org/10.15099/00020685 |
| 9 | SOME REMARKS ON THE MAXIMUM EIGENVALUE OF 3RD ORDER PAIRWISE COMPARISON MATRICES IN AHP , Bulletin of informatics and cybernetics, 53( 2), 1- 13, Feb. 2021, https://doi.org/10.5109/4362571 |
| 10 |
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| 11 | Consistency index less affected by the size of pairwise comparison matrix in AHP , Proceedings of the 18th Asia Pacific Management Conference, , 369- 377, Nov. 2016,
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| 12 | epsilon-OPTIMALITY FOR MINIMAX PROGRAMMING PROBLEMS , JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 7( 2), 277- 288, Dec. 2006,
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| 13 | epsilon-OPTIMALITY WITHOUT CONSTRAINT QUALIFICATION FOR MULTIOBJECTIVE FRACTIONAL PROGRAM , JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 6( 2), 347- 357, Jul. 2005,
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| 14 | On A Maximization Problem Arising from A Positive reciprocal Matrix in AHP , Bulletin of Informatics and Cybernetics, 34( 2), 91- 96, Dec. 2002,
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| 15 | Assesment for an incomplete comparison matrix and improvement of an inconsistent comparison : computational experiments , Proceedings of the fifth international symposium on the analytic hierarchy process, , 200- 205, Aug. 1999,
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| 16 | PROPERTIES OF A POSITIVE RECIPROCAL MATRIX AND THEIR APPLICATION TO AHP , Journal of the Operations Research Society of Japan, 41( 3), 404- 414, Dec. 1998, https://doi.org/10.15807/jorsj.41.404 |
| 17 | Construction of the AHP System Available via WWW , Reports of the Faculty of Engineering, Oita University, ( 38), 29- 34, Sep. 1998,
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| 18 | A Computational Experiment on the Methods for Estimating Priority Weights for Incomplete Comparison Matrices , Reports of the Faculty of Engineering, Oita University, ( 37), 31- 36, Mar. 1998,
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| 19 | Optimality Conditions and Sensitivity Analysis of Nonlinear Optimization Problems under Invexity , Reports of the Faculty of Engineering, Oita University, ( 35), 41- 47, Sep. 1997,
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| 20 | A System on WWW for Estimating Priorities of Pairwise Comparison Matrices , Reports of the Faculty of Engineering, Oita University, ( 35), 49- 54, Feb. 1997,
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| 21 | A Note on Directional Differentiability of Max-Functions , The Fudai Keizai Ronshu, 38( 3), 149- 157, Mar. 1993,
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| 22 | ON CONNECTIONS BETWEEN APPROXIMATE 2ND-ORDER DIRECTIONAL DERIVATIVE AND 2ND-ORDER DINI DERIVATIVE FOR CONVEX-FUNCTIONS , MATHEMATICAL PROGRAMMING, 58( 2), 257- 262, Feb. 1993,
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| 23 | ε-Directional Derivative of a Marginal Function in Parametrized Convex Programming , Bulletin of Informatics and Cybernetics, 24( 3-4), 177- 183, Nov. 1991,
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| 24 | 1ST-ORDER AND 2ND-ORDER EPSILON-DIRECTIONAL DERIVATIVES OF A MARGINAL FUNCTION IN CONVEX-PROGRAMMING WITH LINEAR INEQUALITY CONSTRAINTS , JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 66( 3), 489- 502, Sep. 1990, https://doi.org/10.1007/BF00940934 |
