TY - JOUR N2 - The recently proposed q-rung orthopair fuzzy set (q-ROFS) characterized by a membership degree and a non-membership degree is powerful tool for handling uncertainty and vagueness. This paper proposes the concept of q-rung orthopair linguistic set (q-ROLS) by combining the linguistic term sets with q-ROFSs. Thereafter, we investigate multi-attribute group decision making (MAGDM) with q-rung orthopair linguistic information. To aggregate q-rung orthopair linguistic numbers ( q-ROLNs), we extend the Heronian mean (HM) to q-ROLSs and propose a family of q-rung orthopair linguistic Heronian mean operators, such as the q-rung orthopair linguistic Heronian mean (q-ROLHM) operator, the q-rung orthopair linguistic weighted Heronian mean (q-ROLWHM) operator, the q-rung orthopair linguistic geometric Heronian mean (q-ROLGHM) operator and the q-rung orthopair linguistic weighted geometric Heronian mean (q-ROLWGHM) operator. Some desirable properties and special cases of the proposed operators are discussed. Further, we develop a novel approach to MAGDM within q-rung orthopair linguistic context based on the proposed operators. A numerical instance is provided to demonstrate the effectiveness and superiorities of the proposed method. L1 - http://www.journals.pan.pl/Content/109502/PDF/ACS-2018-4-3.pdf L2 - http://www.journals.pan.pl/Content/109502 PY - 2018 IS - No 4 EP - 583 DO - 10.24425/acs.2018.125483 KW - q-rung orthopair fuzzy set KW - q-rung orthopair linguistic set KW - Heronian mean KW - q-rung orthopair linguistic Heronian mean KW - multi-attribute group decision making A1 - Li, Li A1 - Zhang, Runtong A1 - Wang, Jun A1 - Shang, Xiaopu PB - Committee of Automatic Control and Robotics PAS VL - vol. 28 DA - 2018.12.17 T1 - Some q-rung orthopair linguistic Heronian mean operators with their application to multi-attribute group decision making SP - 551 UR - http://www.journals.pan.pl/dlibra/publication/edition/109502 T2 - Archives of Control Sciences ER -