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Original Articles

Consistency improvement for fuzzy preference relations with self-confidence: An application in two-sided matching decision making

, , &
Pages 1914-1927 | Received 13 May 2019, Accepted 24 Mar 2020, Published online: 25 May 2020

References

  • Abizada, A. (2016). Stability and incentives for college admissions with budget constraints. Theoretical Economics, 11(2), 735–756. doi:10.3982/TE1731
  • Aguarón, J., & Moreno-Jiménez, J. M. (2003). The geometric consistency index: Approximated thresholds. European Journal of Operational Research, 147(1), 137–145. doi:10.1016/S0377-2217(02)00255-2
  • Boudreau, J. W., & Knoblauch, V. (2017). A marriage matching mechanism menagerie. Operations Research Letters, 45(1), 68–71. doi:10.1016/j.orl.2016.12.001
  • Chang, J., Li, H., & Sun, B. (2019). Matching knowledge suppliers and demanders on a digital platform: A novel method. IEEE Access., 7, 21331–21342. doi:10.1109/ACCESS.2019.2895871
  • Chen, X., Li, Z., Fan, Z.-P., Zhou, X., & Zhang, X. (2016). Matching demanders and suppliers in knowledge service: A method based on fuzzy axiomatic design. Information Sciences, 346-347, 130–145. doi:10.1016/j.ins.2016.01.096
  • Chiclana, F., Herrera-Viedma, E., Alonso, S., & Herrera, F. (2009). Cardinal consistency of reciprocal preference relations: A characterization of multiplicative transitivity. IEEE Transactions on Fuzzy Systems, 17(1), 14–23. doi:10.1109/TFUZZ.2008.2008028
  • Crawford, G., & Williams, C. (1985). A note on the analysis of subjective judgment matrices. Journal of Mathematical Psychology, 29(4), 387–405. doi:10.1016/0022-2496(85)90002-1
  • Delorme, M., García, S., Gondzio, J., Kalcsics, J., Manlove, D., & Pettersson, W. (2019). Mathematical models for stable matching problems with ties and incomplete lists. European Journal of Operational Research, 277(2), 426–441. doi:10.1016/j.ejor.2019.03.017
  • Dong, Y., Liu, W., Chiclana, F., Kou, G., & Herrera-Viedma, E. (2019). Are incomplete and self-confident preference relations better in multicriteria decision making? a simulation-based investigation. Information Sciences, 492, 40–57. doi:10.1016/j.ins.2019.04.015
  • Echenique, F. (2008). What matchings can be stable? the testable implications of matching theory. Mathematics of Operations Research, 33(3), 757–768. doi:10.1287/moor.1080.0318
  • Fan, Z.-P., Li, M.-Y., & Zhang, X. (2018). Satisfied two-sided matching: A method considering elation and disappointment of agents. Soft Computing, 22(21), 7227–7241. doi:10.1007/s00500-017-2725-1
  • Fleiner, T., Irving, R. W., & Manlove, D. F. (2007). Efficient algorithms for generalized stable marriage and roommates problems. Theoretical Computer Science, 381(1–3), 162–176. doi:10.1016/j.tcs.2007.04.029
  • Gale, D. (2001). The two-sided matching problem: Origin, development and current issues. International Game Theory Review, 3(02n03), 237–252. doi:10.1142/S0219198901000373
  • Gale, D., & Shapley, L. S. (1962). College admissions and the stability of marriage. The American Mathematical Monthly, 69(1), 9–15. doi:10.2307/2312726
  • Han, J., Li, B., Liang, H., & Lai, K. K. (2018). A novel two-sided matching decision method for technological knowledge supplier and demander considering the network collaboration effect. Soft Computing, 22(16), 5439–5451. doi:10.1007/s00500-018-3131-z
  • Herrera, F., & Martínez, L. (2000). A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8(6), 746–752. doi:10.1109/91.890332
  • Irving, R. W., Manlove, D. F., & Scott, S. (2008). The stable marriage problem with master preference lists. Discrete Applied Mathematics, 156(15), 2959–2977. doi:10.1016/j.dam.2008.01.002
  • Iwama, K., Miyazaki, S., & Yamauchi, N. (2008). A (2−c1n)-approximation algorithm for the stable marriage problem. Algorithmica, 51(3), 342–356. doi:10.1007/s00453-007-9101-y
  • Jiang, Y.-P., Fan, Z.-P., Liang, H.-M., & Sun, M. (2019). An optimization approach for existing home seller-buyer matching. Journal of the Operational Research Society, 70(2), 237–254. doi:10.1080/01605682.2018.1427432
  • Liu, W., Dong, Y., Chiclana, F., Cabrerizo, F. J., & Herrera-Viedma, E. (2017). Group decision-making based on heterogeneous preference relations with self-confidence. Fuzzy Optimization and Decision Making, 16(4), 429–447. doi:10.1007/s10700-016-9254-8
  • Liu, W., Zhang, H., Chen, X., & Yu, S. (2018). Managing consensus and self-confidence in multiplicative preference relations in group decision making. Knowledge-Based Systems, 162, 62–73. doi:10.1016/j.knosys.2018.05.031
  • Liu, X., Xu, Y., & Herrera, F. (2019). Consensus model for large-scale group decision making based on fuzzy preference relation with self-confidence: Detecting and managing overconfidence behaviors. Information Fusion, 52, 245–256. doi:10.1016/j.inffus.2019.03.001
  • Liu, X., Xu, Y., Montes, R., Dong, Y., & Herrera, F. (2019). Analysis of self-confidence indices-based additive consistency for fuzzy preference relations with self-confidence and its application in group decision making. International Journal of Intelligent Systems, 34(5), 920–946. doi:10.1002/int.22081
  • Liu, Y., & Li, K. W. (2017). A two-sided matching decision method for supply and demand of technological knowledge. Journal of Knowledge Management, 21(3), 592–606. doi:10.1108/JKM-05-2016-0183
  • McVitie, D. G., & Wilson, L. B. (1971). The stable marriage problem. Communications of the Acm, 14(7), 486–490. doi:10.1145/362619.362631
  • Orlovsky, S. A. (1978). Decision-making with a fuzzy preference relation. Fuzzy Sets and Systems, 1(3), 155–167. doi:10.1016/0165-0114(78)90001-5
  • Roth, A. E. (1986). On the allocation of residents to rural hospitals: A general property of two-sided matching markets. Econometrica, 54(2), 425–427. doi:10.2307/1913160
  • Saaty, T. L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15(3), 234–281. doi:10.1016/0022-2496(77)90033-5
  • Tanino, T. (1984). Fuzzy preference orderings in group decision making. Fuzzy Sets and Systems, 12(2), 117–131. doi:10.1016/0165-0114(84)90032-0
  • Wang, X., Agatz, N., & Erera, A. (2018). Stable matching for dynamic ride-sharing systems. Transportation Science, 52(4), 850–867. doi:10.1287/trsc.2017.0768
  • 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. doi:10.1016/j.apm.2012.05.010
  • Xu, Z. S. (2004). Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. International Journal of Approximate Reasoning, 36(3), 261–270. doi:10.1016/j.ijar.2003.10.011
  • Yin, S., & Li, B. (2018). Matching management of supply and demand of green building technologies based on a novel matching method with intuitionistic fuzzy sets. Journal of Cleaner Production, 201, 748–763. doi:10.1016/j.jclepro.2018.08.055
  • Yu, W., Zhang, Z., & Zhong, Q. (2020). Consensus reaching for MAGDM with multi-granular hesitant fuzzy linguistic term sets: A minimum adjustment-based approach. Annals of Operations Research. doi:10.1007/s10479-019-03432-7
  • Zhang, H., Li, C.-C., Liu, Y., & Dong, Y. (2019). Modelling personalized individual semantics and consensus in comparative linguistic expression preference relations with self-confidence: An optimization-based approach. IEEE Transactions on Fuzzy Systems. doi:10.1109/TFUZZ.2019.2957259
  • Zhang, Z., Kou, X., Palomares, I., Yu, W., & Gao, J. (2019). Stable two-sided matching decision making with incomplete fuzzy preference relations: A disappointment theory based approach. Applied Soft Computing, 84, 105730. doi:10.1016/j.asoc.2019.105730
  • Zhang, Z., Kou, X., & Yu, W. (2017). Two-sided matching decision making based on heterogeneous incomplete preference relations [Paper presentation]. The 12th International Conference on Intelligent Systems and Knowledge Engineering, Nanjing, China. (pp. 1–6). IEEE.
  • Zhang, Z., Kou, X., Yu, W., & Guo, C. (2018). On priority weights and consistency for incomplete hesitant fuzzy preference relations. Knowledge-Based Systems, 143, 115–126. doi:10.1016/j.knosys.2017.12.010
  • Zhang, Z., Yu, W., Martinez, L., & Gao, Y. (2020). Managing multigranular unbalanced hesitant fuzzy linguistic information in multiattribute large-scale group decision making: A linguistic distribution-based approach. IEEE Transactions on Fuzzy Systems. doi:10.1109/TFUZZ.2019.2949758

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