Journal
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS
Volume 25, Issue 3, Pages 452-463Publisher
SYSTEMS ENGINEERING & ELECTRONICS, EDITORIAL DEPT
DOI: 10.1109/JSEE.2014.00052
Keywords
multi-attribute group decision making; interval-valued intuitionistic uncertain linguistic set; hybrid operator; Shapley function
Categories
Funding
- National Natural Science Foundation of China [71201089]
- Natural Science Foundation Youth Project of Shandong Province [ZR2012GQ005]
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Two interval-valued intuitionistic uncertain linguistic hybrid operators called the induced interval-valued intuitionistic uncertain linguistic hybrid Shapley averaging (I-IIULHSA) operator and the induced interval-valued intuitionistic uncertain linguistic hybrid Shapley geometric (I-11ULH lambda SG) operator are defined. These operators not only reflect the importance of elements and their ordered positions, but also consider the correlations among elements and their ordered positions. Since the fuzzy measures are defined on the power set, it makes the problem exponentially complex. In order to simplify the complexity of solving a fuzzy measure, we further define the induced interval-valued intuitionistic uncertain linguistic hybrid A Shapley averaging (-11ULH lambda SA) operator and the induced interval-valued intuitionistic uncertain linguistic hybrid A Shapley geometric (-11ULH lambda SG) operator. Moreover, an approach for multi-attribute group decision making under the interval-valued intuitionistic uncertain linguistic environment is developed. Finally, a numerical example is provided to verify the developed procedure and demonstrate its practicality and feasibility.
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