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Information 2018, 9(8), 188; https://doi.org/10.3390/info9080188

Dombi Aggregation Operators of Linguistic Cubic Variables for Multiple Attribute Decision Making

Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China
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Received: 8 July 2018 / Revised: 22 July 2018 / Accepted: 23 July 2018 / Published: 26 July 2018
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Abstract

A linguistic cubic variable (LCV) is comprised of interval linguistic variable and single-valued linguistic variable. An LCV contains decision-makers’ uncertain and certain linguistic judgments simultaneously. The advantage of the Dombi operators contains flexibility due to its changeable operational parameter. Although the Dombi operations have been extended to many studies to solve decision-making problems; the Dombi operations are not used for linguistic cubic variables (LCVs) so far. Hence, the Dombi operations of LCVs are firstly presented in this paper. A linguistic cubic variable Dombi weighted arithmetic average (LCVDWAA) operator and a linguistic cubic variable Dombi weighted geometric average (LCVDWGA) operator are proposed to aggregate LCVs. Then a multiple attribute decision making (MADM) method is developed in LCV setting on the basis of LCVDWAA and LCVDWGA operators. Finally, two illustrative examples about the optimal choice problems demonstrate the validity and the application of this method. View Full-Text
Keywords: multiple attribute decision making; linguistic cubic variable; Dombi operations; linguistic cubic variable Dombi weighted arithmetic average (LCVDWAA) operator; linguistic cubic variable Dombi weighted geometric average (LCVDWGA) operator multiple attribute decision making; linguistic cubic variable; Dombi operations; linguistic cubic variable Dombi weighted arithmetic average (LCVDWAA) operator; linguistic cubic variable Dombi weighted geometric average (LCVDWGA) operator
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Lu, X.; Ye, J. Dombi Aggregation Operators of Linguistic Cubic Variables for Multiple Attribute Decision Making. Information 2018, 9, 188.

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