期刊
APPLIED MATHEMATICAL MODELLING
卷 38, 期 9-10, 页码 2543-2557出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.11.003
关键词
Multi-attribute group decision making; Interval-valued intuitionistic uncertain linguistic set; Fuzzy measure; Choquet integral; Generalized Shapley function
资金
- National Natural Science Foundation Youth Project of China [71201089]
- Funds for Creative Research Groups of China [71221061]
- Projects of Major International Cooperation NSFC [71210003]
- Natural Science Foundation Youth Project of Shandong Province, China [ZR2012GQ005]
In this study a generated admissible order between interval-valued intuitionistic uncertain linguistic numbers using two continuous functions is introduced. Then, two interval-valued intuitionistic uncertain linguistic operators called the interval-valued intuitionistic uncertain linguistic Choquet averaging (IVIULCA) operator and the interval-valued intuitionistic uncertain linguistic Choquet geometric mean (IVIULCGM) operator are defined, which consider the interactive characteristics among elements in a set. In order to overall reflect the correlations between them, we further define the generalized Shapley intervalvalued intuitionistic uncertain linguistic Choquet averaging (GS-IVIULCA) operator and the generalized Shapley interval-valued intuitionistic uncertain linguistic Choquet geometric mean (GS-IVIULCGM) operator. Moreover, if the information about the weights of experts and attributes is incompletely known, the models for the optimal fuzzy measures on expert set and attribute set are established, respectively. Finally, a method to multi-attribute group decision making under interval-valued intuitionistic uncertain linguistic environment is developed, and an example is provided to show the specific application of the developed procedure. (C) 2013 Elsevier Inc. All rights reserved.
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