Multiple attribute group decision making based on 2-dimension linguistic intuitionistic fuzzy aggregation operators

The 2-dimension linguistic variables (2-DLVs) add a subjective evaluation on the reliability of the evaluation results provided by decision makers, so 2-DLVs are very useful tools for describing uncertain or fuzzy information. This work extends the idea of 2-DLVs by introducing 2-dimension linguisti...

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Bibliographic Details
Published inSoft computing (Berlin, Germany) Vol. 24; no. 22; pp. 17377 - 17400
Main Authors Verma, Rajkumar, Merigó, José M.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020
Springer Nature B.V
Subjects
Artificial Intelligence
Computational Intelligence
Control
Decision making
Engineering
Fuzzy sets
Linguistics
Mathematical Logic and Foundations
Mathematics
Mechatronics
Methodologies and Application
Operators (mathematics)
Power
Reliability analysis
Robotics
Multiple attribute decision making
Linguistic variables
2-dimension linguistic variables
Linguistic intuitionistic fuzzy numbers
2-dimension linguistic intuitionistic fuzzy variables
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Summary:The 2-dimension linguistic variables (2-DLVs) add a subjective evaluation on the reliability of the evaluation results provided by decision makers, so 2-DLVs are very useful tools for describing uncertain or fuzzy information. This work extends the idea of 2-DLVs by introducing 2-dimension linguistic intuitionistic fuzzy variables (2-DLIFVs) in which 1 class and 2 class information describe in the form of linguistic intuitionistic fuzzy numbers. The paper defines some operational laws, score, and accuracy functions for 2-DLIFVs. Further, we develop some arithmetic and geometric aggregation operators for aggregating 2-DLIF information and prove a number of valuable properties associated with them. Using the proposed aggregation operators, an approach for multiple attribute group decision making with 2-DLIF information is formulated. Finally, an illustrated example is given to verify and prove the validity of the developed method. The computed results are also compared with the existing results.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-020-05026-z