Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM

Huimin Zhang

144 citations0/0 files storedJournal of Applied Mathematics

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Multi-Criteria Decision Making Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory

Abstract

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).

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References

1986Intuitionistic fuzzy sets 2010Hesitant fuzzy sets 1989Interval valued intuitionistic fuzzy sets 2007Intuitionistic Fuzzy Aggregation Operators 2000A 2-tuple fuzzy linguistic representation model for computing with words 2006Some geometric aggregation operators based on intuitionistic fuzzy sets 2011Hesitant Fuzzy Linguistic Term Sets for Decision Making 2019Interval-Valued Intuitionistic Fuzzy Sets

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