期刊
APPLIED MATHEMATICAL MODELLING
卷 36, 期 11, 页码 5427-5444出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.12.002
关键词
Group decision making; Linguistic power average (LPA) operator; Linguistic power ordered weighted average (LPOWA) operator; Uncertain linguistic power average (ULPA) operator; Uncertain linguistic power ordered weighted average (ULPOWA) operator
资金
- National Natural Science Foundation of China (NSFC) [71101043, 50979024, 90924027]
- College Philosophy and Social Science Research Project of Jiangsu Province [2011SJD630007]
- International Academic Cooperation Team Development Foundation of Business School, Hohai University [UAH-2011-181]
- Fundamental Research Funds for Outstanding Young Scholars of Hohai University
The aim of this study is to develop new linguistic aggregation operators based on the power-average (PA) operator, such as the linguistic power average (LPA) operator, the linguistic weighted PA operator, and the LPOWA operator. We studied some desired properties of the developed operators, such as idempotency and commutativity. Moreover, we developed two approaches to deal with group decision-making problems under linguistic environments. lithe weighting vector of the decision makers was known, we developed an approach based on the linguistic weighted PA operator. On the other hand, if the weighting vector of the decision maker was unknown, we developed a different approach based on the LPOWA operator. We also developed new uncertain linguistic operators under uncertain linguistic environments, such as the ULPA operator, the uncertain linguistic weighted PA operator, and the ULPOWA operator. We extended these approaches, which are based on ULWPA and ULPOWA operators, respectively, to solve group decision-making problems under an uncertain linguistic environment. Finally, a practical example is provided to illustrate the multiple-attribute group decision-making process. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.
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