Volume 7, Issue 4, August 2014, Pages 771 - 784
Extended 2-tuple linguistic hybrid aggregation operators and their application to multi-attribute group decision making
- Fanyong Meng, Jie Tang
- Corresponding Author
- Fanyong Meng
Available Online 1 August 2014.
- https://doi.org/10.1080/18756891.2013.874669How to use a DOI?
- multi-attribute group decision making, uncertain linguistic value, aggregation operator, TOPSIS method
- The aim of this paper is to develop some new 2-tuple linguistic hybrid aggregation operators, which are called the extended 2-tuple linguistic hybrid arithmetical weighted (ET-LHAW) operator, the extended 2-tuple linguistic hybrid geometric mean (ET-LHGM) operator, the induced ET-LHAW (IET-LHAW) operator and the induced ET-LHGM (IET-LHGM) operator. These operators do not only consider the importance of the elements but also reflect the importance of their ordered positions. Meantime, some desirable properties are studied, such as idempotency, boundary, etc. When the information about linguistic weight vectors is partly known, the models for the optimal linguistic weight vectors on an expert set, on an attribute set and on their ordered sets are established, respectively. Moreover, an approach to multi-attribute group decision making under linguistic environment is developed. Finally, a numerical example is offered to verify the developed method and to demonstrate its practicality and feasibility.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - Fanyong Meng AU - Jie Tang PY - 2014 DA - 2014/08 TI - Extended 2-tuple linguistic hybrid aggregation operators and their application to multi-attribute group decision making JO - International Journal of Computational Intelligence Systems SP - 771 EP - 784 VL - 7 IS - 4 SN - 1875-6883 UR - https://doi.org/10.1080/18756891.2013.874669 DO - https://doi.org/10.1080/18756891.2013.874669 ID - Meng2014 ER -