Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM | Zendy

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Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM

Author(s) -

Huimin Zhang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/432092

Subject(s) - group decision making , computer science , function (biology) , score , linguistics , algorithm , fuzzy logic , artificial intelligence , mathematics , machine learning , philosophy , evolutionary biology , political science , law , biology

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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