×

Sequential three-way multiple attribute group decisions with individual attributes and its consensus achievement based on social influence. (English) Zbl 1460.91075

Summary: In real life, there are many complex multiple attribute group decision making (MAGDM) problems with high decision risk and uncertainty. The decision-making process of the complex MAGDM can encounter the following three problems: (1) Since different experts have different knowledge structures and interests, they master different individual attribute information of alternatives. (2) Experts may have different consensus degrees for alternatives under different attributes. (3) For some alternatives, the experts can not make an immediate decision in the actual decision-making process. The experts need much more information to decide on these alternatives in the subsequent decision step. To solve the problems as mentioned above, we propose sequential three-way multiple attribute group decision making (STWMAGDM) with individual attributes by introducing sequential three-way decisions. Meantime, we construct a multilevel granular structure based on the consensus degree of attributes. Further, at each granularity level, the experts need to reach consensus before deducing decision results. For improving the consensus reaching process, we take into account the social influence among experts with the aid of opinion dynamics. In this case, we construct social networks based on the similarity of experts and the amount of attribute information mastered by experts to describe the social influence. Meanwhile, we modify the model of opinion dynamics by introducing the interaction willingness of experts and establish the corresponding adjustment rules of interaction willingness. Finally, we use two diagnosis examples of breast cancer and heart disease to explain our model in detail. In order to verify the effectiveness of our method, we also perform the corresponding comparative experiments and sensitivity analyses.

MSC:

91B06 Decision theory
91D30 Social networks; opinion dynamics
92C50 Medical applications (general)
Full Text: DOI

References:

[1] Biswas, P.; Pramanik, S.; Giri, B. C., TOPSIS Method for multi-attribute group decision-making under single-valued neutrosophic environment, Neural Comput. Appl., 27, 3, 727-737 (2016)
[2] Blazeby, J. M.; Wilson, L.; Metcalfe, C.; Nicklin, J.; English, R.; Donovan, J. L., Analysis of clinical decision-making in multi-disciplinary cancer teams, Ann. Oncol., 17, 3, 457-460 (2006)
[3] Dong, Q. X.; Cooper, O., A peer-to-peer dynamic adaptive consensus reaching model for the group AHP decision making, Eur. J. Oper. Res., 250, 2, 521-530 (2016) · Zbl 1346.91042
[4] Dong, Y. C.; Ding, Z. G.; Martínez, L.; Herrera, F., Managing consensus based on leadership in opinion dynamics, Inf. Sci., 397-398, 187-205 (2017) · Zbl 1429.91260
[5] Dong, Y. C.; Zhan, M.; Kou, G.; Ding, Z. G.; Liang, H. M., A survey on the fusion process in opinion dynamics, Inf. Fusion, 43, 57-65 (2018)
[6] Hegselmann, R.; Krause, U., Opinion dynamics and bounded confidence models, analysis, and simulation, J. Artif. Soc. Social Simul., 5, 3 (2002)
[7] Hou, F. J.; Triantaphyllou, E., An iterative approach for achieving consensus when ranking a finite set of alternatives by a group of experts, Eur. J. Oper. Res., 275, 2, 570-579 (2019) · Zbl 1431.91108
[8] Jiang, H. B.; Zhan, J. M.; Chen, D. G., Covering-based variable precision \(( \mathcal{I} , \mathcal{T} )\)-fuzzy rough sets with applications to multiattribute decision-making, IEEE Trans. Fuzzy Syst., 27, 8, 1558-1572 (2019)
[9] Ju, H. R.; Pedrycz, W.; Li, H. X.; Ding, W. P.; Yang, X. B.; Zhou, X. Z., Sequential three-way classifier with justifiable granularity, Knowl. Based Syst., 163, 103-119 (2019)
[10] Kim, S. H.; Choi, S. H.; Kim, J. K., An interactive procedure for multiple attribute group decision making with incomplete information: range-based approach, Eur. J. Oper. Res., 118, 139-152 (1999) · Zbl 0946.91006
[11] Li, H. X.; Zhang, L. B.; Huang, B.; Zhou, X. Z., Sequential three-way decision and granulation for cost-sensitive face recognition, Knowl. Based Syst., 91, 241-251 (2016)
[12] H.C. Liao, X.L. Wu, X.M. Mi, F. Herrera, An integrated method for cognitive complex multiple experts multiple criteria decision making based on ELECTRE III with weighted borda rule, Omega. doi:10.1016/j.omega.2019.03.010.
[13] Liu, P. D., A weighted aggregation operators multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers, Expert Syst. Appl., 38, 1, 1053-1060 (2011)
[14] Liu, P. D.; Chen, S. M.; Liu, J. L., Multiple attribute group decision making based on intuitionistic fuzzy interaction partitioned bonferroni mean operators, Inf. Sci., 411, 98-121 (2017) · Zbl 1429.91114
[15] Liu, P. D.; Chen, S. M., Multiattribute group decision making based on intuitionistic 2-tuple linguistic information, Inf. Sci., 430-431, 599-619 (2018) · Zbl 1444.91084
[16] Liu, P. D.; Chen, S. M.; Wang, P., Multiple-attribute group decision-making based on q-rung orthopair fuzzy power maclaurin symmetric mean operators, IEEE Trans. Syst. Man Cybern.: Syst. (2018)
[17] Liu, P. D.; Wang, P., Some q-rung orthopair fuzzy aggregation operators and their applications to multiple attribute decision making, Int. J. Intell. Syst., 33, 2, 259-280 (2018)
[18] Liu, P. D.; Gao, H.; Ma, J. H., Novel green supplier selection method by combining quality function deployment with partitioned bonferroni mean operator in interval type-2 fuzzy environment, Inf. Sci., 490, 292-316 (2019)
[19] Liu, P. D.; Teng, F., Probabilistic linguistic TODIM method for selecting products through online product reviews, Inf. Sci., 485, 441-455 (2019)
[20] Liu, P. D.; Wang, P., Multiple-attribute decision-making based on archimedean bonferroni operators of q-rung orthopair fuzzy numbers, IEEE Trans. Fuzzy Syst., 27, 5, 834-848 (2019)
[21] Ma, Y.; Li, Y.; Wang, L.; Wang, L. C.; Peng, X. W.; Pan, Y., Operation analysis of multi-disciplinary cooperative diagnosis and treatment mode in a tertiary hospital, Chin. Hospital Manage., 38, 9, 46-48 (2018)
[22] Pang, J. F.; Liang, J. Y.; Song, P., An adaptive consensus method for multi-attribute group decision making under uncertain linguistic environment, Appl Soft Comput, 58, 339-353 (2017)
[23] Das, I. P.; Baker, M.; Altice, C.; Castro, K. M.; Brandys, B.; Mitchell, S. A., Outcomes of multidisciplinary treatment planning in US cancer care settings, Cancer, 124, 18, 3656-3667 (2018)
[24] Qian, J.; Liu, C. H.; Yue, X. D., Multigranulation sequential three-way decisions based on multiple thresholds, Int. J. Approx. Reason., 105, 396-416 (2019) · Zbl 1440.68295
[25] Sun, B. Z.; Chen, X. T.; Zhang, L. Y.; Ma, W. M., Three-way decision making approach to conflict analysis and resolution using probabilistic rough set over two universes, Inf. Sci., 507, 809-822 (2020) · Zbl 1456.68202
[26] UCI, 2019. <http://archive.ics.uci.edu/ml>.
[27] Ureña, R.; Chiclana, F.; Melançon, G.; Herrera-Viedma, E., A social network based approach for consensus achievement in multiperson decision making, Inf. Fusion, 47, 72-87 (2019)
[28] Wei, G. W., A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information, Expert Syst. Appl., 37, 7895-7900 (2010)
[29] Whelan, J. M.; Griffith, C. D.M.; Archer, T., Breast cancer multi-disciplinary teams in england: much achieved but still more to be done, The Breast, 15, 1, 119-122 (2006)
[30] Wu, X. L.; Liao, H. C., A consensus-based probabilistic linguistic gained and lost dominance score method, Eur. J. Oper. Res., 272, 3, 1017-1027 (2019) · Zbl 1403.91122
[31] Xu, Z. S., A note on linguistic hybrid arithmetic averaging operator in multiple attribute group decision making with linguistic information, Group Decis. Negot., 15, 6, 593-604 (2006)
[32] Yan, H. B.; Ma, T. J.; Huynh, V. N., On qualitative multi-attribute group decision making and its consensus measure: a probability based perspective, Omega, 70, 94-117 (2017)
[33] Yang, X.; Li, T. R.; Fujita, H.; Liu, D., A sequential three-way approach to multi-class decision, Int. J. Approx. Reason., 104, 108-125 (2019) · Zbl 1452.68237
[34] Yao, Y. Y.; Wong, S. K.M., A decision theoretic framework for approximating concepts, Int. J. Man Mach. Stud., 37, 793-809 (1992)
[35] Yao, Y. Y., Probabilistic rough set approximation, Int. J. Approx. Reason., 49, 255-271 (2008) · Zbl 1191.68702
[36] Yao, Y. Y., Three-way decisions with probabilistic rough sets, Inf. Sci., 180, 341-353 (2010)
[37] Yao, Y. Y.; Deng, X. F., Sequential Three-way Decisions with Probabilistic Rough Sets, Proc. 10th IEEE International Conference on Cognitive Informatics and Cognitive Computing, 120-125 (2011)
[38] Yao, Y. Y., Granular Computing and Sequential Three-way Decisions, (Lingras, P., RSKT 2013, LNAI 8171 (2013), Spring, Berlin), 16-27
[39] Yao, Y. Y., Three-way decisions and cognitive computing, Cognit. Comput., 8, 4, 543-554 (2016)
[40] Yao, Y. Y., Three-way decision and granular computing, Int. J. Approx. Reason., 103, 107-123 (2018) · Zbl 1448.68427
[41] Yu, H.; Chen, Y.; Lingras, P.; Wang, G. Y., A three-way cluster ensemble approach for large-scale data, Int. J. Approx. Reason., 115, 32-49 (2019) · Zbl 1471.62401
[42] Zhang, Q. H.; Yang, C. C.; Wang, G. Y., A sequential three-way decision model with intuitionistic fuzzy numbers, IEEE Trans. Syst. Man Cybern.: Syst. (2019)
[43] Zhang, K.; Zhan, J. M.; Yao, Y. Y., TOPSIS Method based on a fuzzy covering approximation space: an application to biological nano-materials selection, Inf. Sci., 502, 297-329 (2019)
[44] Zhang, K.; Zhan, J. M.; Wu, W. Z., Novel fuzzy rough set models and corresponding applications to multi-criteria decision-making, Fuzzy Sets Syst. (2019)
[45] Zhang, L.; Zhan, J. M.; Xu, Z. S.; Alcantud, J. C.R., Covering-based general multigranulation intuitionistic fuzzy rough sets and corresponding applications to multi-attribute group decision-making, Inf. Sci., 494, 114-140 (2019)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.