Multiattribute group decision-making based on weighted correlation coefficient of linguistic q-rung orthopair fuzzy sets and TOPSIS method

Linguistic q-rung orthopair fuzzy number (Lq-ROFN) is a valuable tool for expressing the uncertainty of qualitative information that has received a lot of attention over the last 5 years. In this article, we propose the correlation coefficient to measure the strength of the relationship between two linguistic q-rung orthopair fuzzy sets (Lq-ROFSs). We also provide the various properties of the proposed correlation coefficient of Lq-ROFSs. Moreover, we also propose the weighted correlation coefficient of Lq-ROFSs. Afterward, using the proposed weighted correlation coefficient of Lq-ROFSs and the “technique for order of preference by similarity to ideal solution” (TOPSIS) method, we develop a novel multiattribute group decision-making (MAGDM) method under the Lq-ROFNs environment. We also solve the different MAGDM problems using the proposed MAGDM method and compare the preference order (PO) obtained by the proposed MAGDM method with the POs obtained by the existing MAGDM methods. The comparison analysis shows that the drawbacks of the existing MAGDM methods can be successfully overcome by the proposed MAGDM method, where existing MAGDM methods cannot distinguish the POs of alternatives. In the Lq-ROFNs environment, the proposed MAGDM method provides a useful decision-making method for solving MAGDM problems.