Affiliations: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong, China
Correspondence:
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Corresponding author. Peide Liu, School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China. Tel.: +86 531 82222188; E-mails: [email protected], [email protected].
Abstract: For a multi-attribute group decision making (MAGDM) problem where the attribute values are intuitionistic uncertain linguistic variables (IULVs), we propose a novel decision making method based on hybrid aggregation operator of IULVs. Firstly, new operational rules of IULVs are proposed based on linguistic scale functions (LSFs) to overcome the existing shortcoming in which the operations on linguistic variables (LVs) directly based on the subscripts of linguistic terms (LTs) are not closed, then the expected value and accuracy function of IULVs are introduced. Further, some aggregation operators for IULVs are proposed, including the weighted geometric average operator for IULVs (IULWGA), ordered weighted geometric operator for IULVs (IULOWG), then the hybrid geometric operator for IULVs (IULHG) are developed, which could consider the weights of attributes and their ranking positions. However, because IULHG don’t meet some desirable properties, we proposed a new hybrid weighted geometric operator for IULVs (IULHWG) which can not only weight the importance of each argument and its ordered position but also maintain some desirable properties. Based on these operators, an approach to MAGDM with IULVs has been proposed. Finally, an illustrative example is provided to show the steps of the developed approach and to demonstrate its practicality and effectiveness.
Keywords: Linguistic variables, intuitionistic fuzzy set (IFS), MAGDM, aggregation
operator
