稀疏情景下不确定偏好关系的一致性及共识建模研究任务书

 2021-08-20 01:08

1. 毕业设计(论文)主要目标:

当决策个体给出带有缺失值或以区间数表示的偏好信息时,将区间信息作为整体考虑,研究区间数服从线性不确定分布下,缺失值的求解、一致性分析和群体共识建模。

2. 毕业设计(论文)主要内容:

在决策环境和决策问题复杂性的背景下,个体决策者受教育背景、经验或相关知识的储备等因素影响无法给出对决策问题的确切评价,给出的决策信息带有不完全性和不确定性,即部分信息未知或决策信息以模糊数、区间数等形式给出。

稀疏即指不完全,不确定即指信息的表达方式。

群体决策集结了各个个体的知识和经验,弥补了个体才智和经验的不足,但在群体决策中,每个个体都希望获得最大利益。

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3. 主要参考文献

[1]Liu B D. Uncertainty Theory[M]. Beijing: Tsinghua University, 2018:1-104.[2]Orlovsky S A. Decision-making with a fuzzy preference relation[J]. Fuzzy sets and systems, 1978, 1(3): 155-167.[3]Tanino T. Fuzzy preference orderings in group decision making[J]. Fuzzy sets and systems, 1984, 12(2): 117-131.[4]Meng F Y, Tang J, Fujita H. Consistency-based Algorithms for Decision Making with Interval Fuzzy Preference Relations[J]. IEEE Transactions on Fuzzy Systems, 2019.[5]Xu Z S. On compatibility of interval fuzzy preference matrices[J]. Fuzzy optimization and decision making, 2004(3): 217-225.[6]Zhang X X, Ge B F, Jiang J, et al. A new consensus model for group decision making using fuzzy linguistic preference relations with heterogeneous experts[J]. Journal of Intelligent Fuzzy Systems, 2016, 30(1): 171-182.[7]Kerre E E, Rehman A, Ashraf S. Group Decision Making with Incomplete Reciprocal Preference Relations Based on Multiplicative Consistency[J]. International Journal of Computational Intelligence Systems, 2018, 11(1): 1030-1040.[8]Meng F, Chen X. A new method for group decision making with incomplete fuzzy preference relations[J]. Knowledge-Based Systems, 2015, 73: 111-123.[9]Alonso S, Cabrerizo F J, Chiclana F, et al. Group decision making with incomplete fuzzy linguistic preference relations[J]. International Journal of Intelligent Systems, 2009, 24(2): 201-222.[10]Herrera-Viedma E, Chiclana F, Herrera F, et al. Group decision-making model with incomplete fuzzy preference relations based on additive consistency[J]. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2007, 37(1): 176-189.[11]Herrera-Viedma E, Alonso S, Chiclana F, et al. A consensus model for group decision making with incomplete fuzzy preference relations[J]. IEEE Transactions on fuzzy Systems, 2007, 15(5): 863-877.[12]Cabrerizo F J, Heradio R, P閞ez I J, et al. A Selection Process Based on Additive Consistency to Deal with Incomplete Fuzzy Linguistic Information[J]. J. UCS, 2010, 16(1): 62-81.[13]Fedrizzi M, Giove S. Incomplete pairwise comparison and consistency optimization[J]. European Journal of Operational Research, 2007, 183(1): 303-313.[14]Zhang G Q, Dong Y C, Xu Y F. Linear optimization modeling of consistency issues in group decision making based on fuzzy preference relations[J]. Expert Systems with Applications, 2012, 39(3): 2415-2420.[15]Meng F Y, Chen X H. A new method for group decision making with incomplete fuzzy preference relations[J]. Knowledge-Based Systems, 2015, 73: 111-123.[16]Xu Y J. On group decision making with four formats of incomplete preference relations[J]. Computers Industrial Engineering, 2011, 61(1): 48-54.[17]Xu Y J, Chen L, Wang H M. A least deviation method for priority derivation in group decision making with incomplete reciprocal preference relations[J]. International Journal of Approximate Reasoning, 2015, 66: 91-102.[18]Chiclana F, Herrera-Viedma E, Alonso S, et al. A note on the estimation of missing pairwise preference values: a uninorm consistency based method[J]. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008, 16(supp02): 19-32.[19]Gen?S, Boran F E, Akay D, et al. Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations[J]. Information Sciences, 2010, 180(24): 4877-4891.[20]Xu Z S, Cai X Q, Szmidt E. Algorithms for estimating missing elements of incomplete intuitionistic preference relations[J]. International Journal of Intelligent Systems, 2011, 26(9): 787-813.

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