How to cite this paper
Alrasheedi, M. (2019). Incomplete pairwise comparative judgments: Recent developments and a proposed method.Decision Science Letters , 8(3), 261-274.
Refrences
Akarte, M. M., Surendra, N. V., Ravi, B., & Rangaraj, N. (2001). Web based casting supplier evaluation using analytical hierarchy process. Journal of the Operational Research Society, 52(5), 511-522.
Al-Dubaibi, A. (1998). The Best Model for Pairwise Comparisons. Unpublished Ph.D. Thesis, Brunel University, UK.
Alrasheedy, M. (2003). Solving multi-criteria decision problems using pairwise comparisons with a web-based prototype decision system. Unpublished Ph.D. Thesis, Brunel University, UK.
Al Salem, A. (2017). Managing consistency and consensus in group decision making with incomplete fuzzy preference relations. Montreal, Quebec, Canada.
Barzilai, J. (1997). Deriving weights from pairwise comparison matrices. Journal of the operational research society, 48(12), 1226-1232.
Barzilai, J., Cook, W. D., & Golany, B. (1987). Consistent weights for judgements matrices of the relative importance of alternatives. Operations research letters, 6(3), 131-134.
Benítez, J., Delgado-Galván, X., Izquierdo, J., & Pérez-García, R. (2015). Consistent completion of incomplete judgments in decision making using AHP. Journal of Computational and Applied Mathematics, 290, 412-422.
Bochkov, A., & Zhigirev, N. ( 2014). The analytic hierarchy process modification for decision making under uncertainty. Reliability: Theory and Applications, 9(2), 36-45.
Bozoki, S. (2010). Incomplete pairwise compárison matrices and connectedness. The Corvinus University of Budapest, Department of Operations Research and Decision Systems.
Bozoki, S., Fulop, J., & Ronyai, L. (2010). On optimal completion of incomplete pairwise comparison matrices. Mathematical and Computer Modelling, 52(1), 318-333.
Carmone, F., Kara, S., & Zanakis, S. (1997). A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP. European Journal of Operational Research, 102(3), 538-553.
Chen, K., Kou, G., Tarn, J., & Song, Y. (2015). Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices. Annals of Operations Research, 235(1), 155-175.
Davis, P. J. (1994). Circulant matrices. AMS Chelsea Publishing.
Ergu, D., Kou, G., Peng, Y., & Zhang, M. (2016). Estimating the missing values for the incomplete decision matrix and consistency optimization in emergency management. Applied Mathematics Modelling, 40(1), 254-267.
Fedrizzi, M., & Giove, S. (2007). Incomplete pairwise comparison and consistency optimization. European Journal of Operational Research, 183(1), 303-313.
Foster, W. (1994). Linear models for pairwise comparisons and measures of agreement. Unpublished Ph.D. Thesis, Brunel University, UK.
Foster, W. (2001). Reliable Decisions Using Pairwise Comparisons. 6th Conference of the ISDSS. Uxbridge, UK.
Foster, W. (1997). Sampling Pairwise Comparisons. Unpublished Technical Report. Brunel University, UK.
Han, S. (2016). How can we handle too many criteria/alternatives?: A study on AHP structural design. NUCB Journal of Economics and Information Science, 60(2), 103-112.
Harker, P. (1987a). Incomplete pairwise comparisons in the analytic hierarchy process. Mathematical Modelling, 9(11), 837-848.
Harker, P. T. (1987 b). Alternative modes of questioning in the analytic hierarchy process. Mathematical Modelling, 9(3-5), 353-360.
Harker, P. (1987c). Shortening the comparison process. Mathematical Modelling, 8, 139-141.
Hotman, E. (2005). Base reference analytical hierarchy process for engineering process selection. International Conference on Knowledge-Base and Intelligent Information and Engineering Systems, (págs. 184-190). Springer, Berlin, Heidelberg.
Inti, S., & Tandon, V. (2017). Application of fuzzy preference-Analytic Hierarchy Process logic in evaluating sustainability of transportation infrastructure requiring multi-criteria decision making. Journal of Infrastructure Systems, 23(4). https://doi.org/10.1061/(ASCE)IS.1943-555X.0000373
Jalao, E., Wu, T., & Shunk, D. (2014). An intelligent decomposition of pairwise comparison matrices for large-scale decisions. European Journal of Operational Research, 238(1), 270-280.
Joneghani, S.Z., & Joneghani, H.Z.(2018). Identification and ranking the effective factors for export promotion in pharmaceutical companies , Management Science Letters, 9(3),357–364.
Kahraman, C., Suder, A. & Bekar, E.T.(2016). Fuzzy multi-attribute consumer choice among health insurance options, Technological and Economic Development of Economy, 22(1),1–20.
Koczkodaj, W., & Szybowsky. (2015). Pairwise comparisons simplified. Journal of Applied Mathematics and Computation, 253, 387-394.
Kou, G., Ergu, D., Lin, C., & Chen, Y. (2016). The pairwise matrix in multiple criteria decision making. Technological and economic development of an economy, 22(5), 738-765.
Lolli, F., Ishizaka, A., Gamberini, R. (2014). New AHP-based approaches for multi-criteria inventory classification, International Journal of Production Economics, 156, 62–74.
Lootsma, J. (1999). Multi-Criteria Decision Analysis via Ratio and Difference Judgment. The Netherlands: Kluwer Academic Publishers, The Netherlands, 50-140
Makui, A., Fathi, M., Narenji, M. (2010). Interval weighted comparison matrices- A review. International Journal of Industrial Engineering and Production Research, 20(4), 139–156.
Peng, Y., Kou, G., Ergu, D., & Shi, Y. (15-18 de June de 2011). Handling missing survey data in AHP. XI Symposium ISAHP 2011.Sorrento, Naples, Italy.
Ra, J. (1999). Chainwise Paired Comparisons. Decision Sciences, 30(2), 581-598.
Saaty, T. (1980). The analytical hierarchy process. New York: John Wiley.
Ramik, J. (2013). Incomplete pairwise comparison matrix and its application to the ranking of alternatives. Multiple Criteria Decision Making Journal, 8, 114-128.
Schmidt, K., Aumann, I., Hollander, I., Damm, K., & von der Schulenburg, J. M. G. (2015). Applying the Analytic Hierarchy Process in healthcare research: A systematic literature review and evaluation of reporting. BMC medical informatics and decision making, 15(1), 112.
Song, B., & Kang, S. (2016). A method of assigning weights using a ranking and nonhierarchy comparison. Advances in Decision Sciences, Vol. 2016, Article ID 8963214, 9 pages.
Srdjevic, B., Srdjevic Z, & Blagojevic, B. (2014). First-level transitivity rule method for filling in incomplete pair-wise comparison matrices in the analytic hierarchy process. Applied Mathematics and Information Sciences, 8(2), 459-467.
Tekile, H., & Bozoki, S. (2017). Incomplete pairwise comparison matrices in multicriteria decision making and ranking. Master of Science Thesis, Central European University, Department of Mathematics and its Applications, Budapest, Hungary.
Toloie-Eshlaghy, A., & Homayonfar, M. (2011). MCDM methodologies and applications: a literature review from 1999 to 2009. Research Journal of International Studies, 21, 86-137.
Triantaphyllou, E. (1999). Reduction of pairwise comparisons in decision making via a duality approach. Journal of Multi-Criteria Decision Analysis, 8(6), 299-310.
Um, W. (2016). Supplier evaluation and selection using method and uncertainty theory. Proceedings of the Second World Congress on Mechanical, Chemical, and Material Engineering. Budapest, Hungary.
Wang, J., Lan, J., Ren, P., & Luo, Y. (2012). Some programming models to derive priority weights from additive interval fuzzy preference relation. Knowledge-Based Systems, 27, 69–77.
Wang, Z. J. & Li, K. (2015). A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices. European Journal of Operational Research, 242(3), 890-900.
Wedley, W. (1993). Consistency prediction for incomplete AHP matrices. Mathematical and Computer Modelling, 17(4-5), 151-161.
Wedley, W., Schoner, B., & Tang, T. (1993). Starting rules for incomplete comparisons in the analytic hierarchy process. Math. Comput. Modeling, 17(4/5), 93-100.
Xu, Y., Patnayakuni, R., & Wang, H. (2013). Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations. Applied Mathematical Modelling, 37 (4), 2139-2152.
Yazici, B., Yolacan, S. (2007). A comparison of various tests of normality. Journal of Statistical Computation and Simulation, 77(2), 175-183.
Zhang, G., Dong, Y., & Xu, Y. (2012). Linear optimization modeling of consistency issues in group decision making based on fuzzy preference relations, Expert Systems with Applications, 39(3), 2415-2420.
Zhou, X., Hu, Y., Deng, Y., Chan, F., & Ishizaka, A. (2018). A Dematel- based completion method for incomplete pairwise comparison matrix in AHP. Annals of Operations Research, 271(2), 1044-1066.
Al-Dubaibi, A. (1998). The Best Model for Pairwise Comparisons. Unpublished Ph.D. Thesis, Brunel University, UK.
Alrasheedy, M. (2003). Solving multi-criteria decision problems using pairwise comparisons with a web-based prototype decision system. Unpublished Ph.D. Thesis, Brunel University, UK.
Al Salem, A. (2017). Managing consistency and consensus in group decision making with incomplete fuzzy preference relations. Montreal, Quebec, Canada.
Barzilai, J. (1997). Deriving weights from pairwise comparison matrices. Journal of the operational research society, 48(12), 1226-1232.
Barzilai, J., Cook, W. D., & Golany, B. (1987). Consistent weights for judgements matrices of the relative importance of alternatives. Operations research letters, 6(3), 131-134.
Benítez, J., Delgado-Galván, X., Izquierdo, J., & Pérez-García, R. (2015). Consistent completion of incomplete judgments in decision making using AHP. Journal of Computational and Applied Mathematics, 290, 412-422.
Bochkov, A., & Zhigirev, N. ( 2014). The analytic hierarchy process modification for decision making under uncertainty. Reliability: Theory and Applications, 9(2), 36-45.
Bozoki, S. (2010). Incomplete pairwise compárison matrices and connectedness. The Corvinus University of Budapest, Department of Operations Research and Decision Systems.
Bozoki, S., Fulop, J., & Ronyai, L. (2010). On optimal completion of incomplete pairwise comparison matrices. Mathematical and Computer Modelling, 52(1), 318-333.
Carmone, F., Kara, S., & Zanakis, S. (1997). A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP. European Journal of Operational Research, 102(3), 538-553.
Chen, K., Kou, G., Tarn, J., & Song, Y. (2015). Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices. Annals of Operations Research, 235(1), 155-175.
Davis, P. J. (1994). Circulant matrices. AMS Chelsea Publishing.
Ergu, D., Kou, G., Peng, Y., & Zhang, M. (2016). Estimating the missing values for the incomplete decision matrix and consistency optimization in emergency management. Applied Mathematics Modelling, 40(1), 254-267.
Fedrizzi, M., & Giove, S. (2007). Incomplete pairwise comparison and consistency optimization. European Journal of Operational Research, 183(1), 303-313.
Foster, W. (1994). Linear models for pairwise comparisons and measures of agreement. Unpublished Ph.D. Thesis, Brunel University, UK.
Foster, W. (2001). Reliable Decisions Using Pairwise Comparisons. 6th Conference of the ISDSS. Uxbridge, UK.
Foster, W. (1997). Sampling Pairwise Comparisons. Unpublished Technical Report. Brunel University, UK.
Han, S. (2016). How can we handle too many criteria/alternatives?: A study on AHP structural design. NUCB Journal of Economics and Information Science, 60(2), 103-112.
Harker, P. (1987a). Incomplete pairwise comparisons in the analytic hierarchy process. Mathematical Modelling, 9(11), 837-848.
Harker, P. T. (1987 b). Alternative modes of questioning in the analytic hierarchy process. Mathematical Modelling, 9(3-5), 353-360.
Harker, P. (1987c). Shortening the comparison process. Mathematical Modelling, 8, 139-141.
Hotman, E. (2005). Base reference analytical hierarchy process for engineering process selection. International Conference on Knowledge-Base and Intelligent Information and Engineering Systems, (págs. 184-190). Springer, Berlin, Heidelberg.
Inti, S., & Tandon, V. (2017). Application of fuzzy preference-Analytic Hierarchy Process logic in evaluating sustainability of transportation infrastructure requiring multi-criteria decision making. Journal of Infrastructure Systems, 23(4). https://doi.org/10.1061/(ASCE)IS.1943-555X.0000373
Jalao, E., Wu, T., & Shunk, D. (2014). An intelligent decomposition of pairwise comparison matrices for large-scale decisions. European Journal of Operational Research, 238(1), 270-280.
Joneghani, S.Z., & Joneghani, H.Z.(2018). Identification and ranking the effective factors for export promotion in pharmaceutical companies , Management Science Letters, 9(3),357–364.
Kahraman, C., Suder, A. & Bekar, E.T.(2016). Fuzzy multi-attribute consumer choice among health insurance options, Technological and Economic Development of Economy, 22(1),1–20.
Koczkodaj, W., & Szybowsky. (2015). Pairwise comparisons simplified. Journal of Applied Mathematics and Computation, 253, 387-394.
Kou, G., Ergu, D., Lin, C., & Chen, Y. (2016). The pairwise matrix in multiple criteria decision making. Technological and economic development of an economy, 22(5), 738-765.
Lolli, F., Ishizaka, A., Gamberini, R. (2014). New AHP-based approaches for multi-criteria inventory classification, International Journal of Production Economics, 156, 62–74.
Lootsma, J. (1999). Multi-Criteria Decision Analysis via Ratio and Difference Judgment. The Netherlands: Kluwer Academic Publishers, The Netherlands, 50-140
Makui, A., Fathi, M., Narenji, M. (2010). Interval weighted comparison matrices- A review. International Journal of Industrial Engineering and Production Research, 20(4), 139–156.
Peng, Y., Kou, G., Ergu, D., & Shi, Y. (15-18 de June de 2011). Handling missing survey data in AHP. XI Symposium ISAHP 2011.Sorrento, Naples, Italy.
Ra, J. (1999). Chainwise Paired Comparisons. Decision Sciences, 30(2), 581-598.
Saaty, T. (1980). The analytical hierarchy process. New York: John Wiley.
Ramik, J. (2013). Incomplete pairwise comparison matrix and its application to the ranking of alternatives. Multiple Criteria Decision Making Journal, 8, 114-128.
Schmidt, K., Aumann, I., Hollander, I., Damm, K., & von der Schulenburg, J. M. G. (2015). Applying the Analytic Hierarchy Process in healthcare research: A systematic literature review and evaluation of reporting. BMC medical informatics and decision making, 15(1), 112.
Song, B., & Kang, S. (2016). A method of assigning weights using a ranking and nonhierarchy comparison. Advances in Decision Sciences, Vol. 2016, Article ID 8963214, 9 pages.
Srdjevic, B., Srdjevic Z, & Blagojevic, B. (2014). First-level transitivity rule method for filling in incomplete pair-wise comparison matrices in the analytic hierarchy process. Applied Mathematics and Information Sciences, 8(2), 459-467.
Tekile, H., & Bozoki, S. (2017). Incomplete pairwise comparison matrices in multicriteria decision making and ranking. Master of Science Thesis, Central European University, Department of Mathematics and its Applications, Budapest, Hungary.
Toloie-Eshlaghy, A., & Homayonfar, M. (2011). MCDM methodologies and applications: a literature review from 1999 to 2009. Research Journal of International Studies, 21, 86-137.
Triantaphyllou, E. (1999). Reduction of pairwise comparisons in decision making via a duality approach. Journal of Multi-Criteria Decision Analysis, 8(6), 299-310.
Um, W. (2016). Supplier evaluation and selection using method and uncertainty theory. Proceedings of the Second World Congress on Mechanical, Chemical, and Material Engineering. Budapest, Hungary.
Wang, J., Lan, J., Ren, P., & Luo, Y. (2012). Some programming models to derive priority weights from additive interval fuzzy preference relation. Knowledge-Based Systems, 27, 69–77.
Wang, Z. J. & Li, K. (2015). A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices. European Journal of Operational Research, 242(3), 890-900.
Wedley, W. (1993). Consistency prediction for incomplete AHP matrices. Mathematical and Computer Modelling, 17(4-5), 151-161.
Wedley, W., Schoner, B., & Tang, T. (1993). Starting rules for incomplete comparisons in the analytic hierarchy process. Math. Comput. Modeling, 17(4/5), 93-100.
Xu, Y., Patnayakuni, R., & Wang, H. (2013). Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations. Applied Mathematical Modelling, 37 (4), 2139-2152.
Yazici, B., Yolacan, S. (2007). A comparison of various tests of normality. Journal of Statistical Computation and Simulation, 77(2), 175-183.
Zhang, G., Dong, Y., & Xu, Y. (2012). Linear optimization modeling of consistency issues in group decision making based on fuzzy preference relations, Expert Systems with Applications, 39(3), 2415-2420.
Zhou, X., Hu, Y., Deng, Y., Chan, F., & Ishizaka, A. (2018). A Dematel- based completion method for incomplete pairwise comparison matrix in AHP. Annals of Operations Research, 271(2), 1044-1066.