Affiliations: [a] School of Mathematical Sciences, Anhui University, Hefei, Anhui, China
| [b] Anhui University Center for Applied Mathematics, Anhui University, Hefei, Anhui, China
Correspondence:
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Corresponding author. Ligang Zhou, School of Mathematical Sciences, Anhui University, 230601 Hefei,Anhui, China. E-mail: shuiqiaozlg@126.com.
Abstract: Linguistic q-rung orthopair fuzzy numbers (Lq-ROFNs) are an effective tool for representing fuzzy linguistic information, and they can obtain a wider expression scope than linguistic intuitionistic fuzzy numbers and linguistic Pythagorean fuzzy numbers by increasing the value of parameter q. In this paper, we propose a new similarity measure called the grey similarity degree between any two Lq-ROFNs based on the concept of the grey correlation degree. Considering the significance of determining unknown weights, we also propose a grey correlation method to determine each expert’s weight under different alternatives and attributes, and we construct an optimization model to determine incompletely known attribute weights. Furthermore, an approach to linguistic q-rung orthopair fuzzy multiple-attribute group decision making is proposed that combines the grey similarity degree with the PROMETHEE II method. Finally, a numerical example is given to illustrate the effectiveness of the proposed method, and a sensitivity analysis and comparison analysis are also performed.
Keywords: Linguistic q-rung orthopair fuzzy numbers, grey correlation degree, grey similarity degree, PROMETHEE, group decision making
