PMID- 31107672 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20210318 LR - 20210318 IS - 2168-2275 (Electronic) IS - 2168-2267 (Linking) VI - 51 IP - 4 DP - 2021 Apr TI - Multicriteria Decision Making With Incomplete Weights Based on 2-D Uncertain Linguistic Choquet Integral Operators. PG - 1860-1874 LID - 10.1109/TCYB.2019.2913639 [doi] AB - In regard to multicriteria decision making (MCDM) problems where the values of the criteria are expressed by 2-D uncertain linguistic variables (2DULVs), where the criteria are interactive and the criteria weights are incompletely known, two novel MCDM methods are proposed in this paper. First, we offer some novel operational laws of 2DULVs, which can avoid the operational results exceeding the boundary of linguistic term sets. Then, we propose four operators to capture the interactions over the criteria, namely, the 2-D uncertain linguistic Choquet averaging (2DULCA) operator, the 2-D uncertain linguistic Choquet geometric (2DULCG) operator, the Shapley 2DULCA (S2DULCA) operator, and the Shapley 2DULCG (S2DULCG) operator. In addition, we establish the models based on the maximization deviation approach and the Shapley function to get the criteria weights. Finally, we propose two novel MCDM methods under 2-D uncertain linguistic environments, where four examples are used to explain the created MCDM methods. Comparative experimental results are presented to highlight the superiorities of the created approaches. FAU - Liu, Peide AU - Liu P FAU - Chen, Shyi-Ming AU - Chen SM FAU - Tang, Guolin AU - Tang G LA - eng PT - Journal Article DEP - 20210317 PL - United States TA - IEEE Trans Cybern JT - IEEE transactions on cybernetics JID - 101609393 SB - IM EDAT- 2019/05/21 06:00 MHDA- 2019/05/21 06:01 CRDT- 2019/05/21 06:00 PHST- 2019/05/21 06:00 [pubmed] PHST- 2019/05/21 06:01 [medline] PHST- 2019/05/21 06:00 [entrez] AID - 10.1109/TCYB.2019.2913639 [doi] PST - ppublish SO - IEEE Trans Cybern. 2021 Apr;51(4):1860-1874. doi: 10.1109/TCYB.2019.2913639. Epub 2021 Mar 17.