期刊
SYMMETRY-BASEL
卷 9, 期 12, 页码 -出版社
MDPI AG
DOI: 10.3390/sym9120320
关键词
power average operator; probabilistic linguistic term sets; multi-criteria decision making; group decision making
资金
- National Science Foundation of China [71401026, 71432003, 71571148]
- Fundamental Research Funds for the Central Universities of China [ZYGX2014J100]
- Social Science Planning Project of the Sichuan Province [SC15C009]
- Sichuan Youth Science and Technology Innovation Team [2016TD0013]
As an effective aggregation tool, power average (PA) allows the input arguments being aggregated to support and reinforce each other, which provides more versatility in the information aggregation process. Under the probabilistic linguistic term environment, we deeply investigate the new power aggregation (PA) operators for fusing the probabilistic linguistic term sets (PLTSs). In this paper, we firstly develop the probabilistic linguistic power average (PLPA), the weighted probabilistic linguistic power average (WPLPA) operators, the probabilistic linguistic power geometric (PLPG) and the weighted probabilistic linguistic power geometric (WPLPG) operators. At the same time, we carefully analyze the properties of these new aggregation operators. With the aid of the WPLPA and WPLPG operators, we further design the approaches for the application of multi-criteria group decision-making (MCGDM) with PLTSs. Finally, we use an illustrated example to expound our proposed methods and verify their performances.
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