Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM

To better deal with imprecise and uncertain information in decision making, the definition of linguistic intuitionistic fuzzy sets (LIFSs) is introduced, which is characterized by a linguistic membership degree and a linguistic nonmembership degree, respectively. To compare any two linguistic intuit...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.678-688-375
Main Author: Zhang, Huimin
Format: Article
Language:English
Subjects:
Agglomeration
Analysis
Colleges & universities
Decision making
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy sets
Linguistics
Mathematical analysis
Mathematical models
Methods
Multiple criteria decision making
Operators
Set theory
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Summary:To better deal with imprecise and uncertain information in decision making, the definition of linguistic intuitionistic fuzzy sets (LIFSs) is introduced, which is characterized by a linguistic membership degree and a linguistic nonmembership degree, respectively. To compare any two linguistic intuitionistic fuzzy values (LIFVs), the score function and accuracy function are defined. Then, based on t-norm and t-conorm, several aggregation operators are proposed to aggregate linguistic intuitionistic fuzzy information, which avoid the limitations in exiting linguistic operation. In addition, the desired properties of these linguistic intuitionistic fuzzy aggregation operators are discussed. Finally, a numerical example is provided to illustrate the efficiency of the proposed method in multiple attribute group decision making (MAGDM).
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/432092