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2014 Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM
Huimin Zhang
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/432092

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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Huimin Zhang. "Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/432092

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131595
Digital Object Identifier: 10.1155/2014/432092

Rights: Copyright © 2014 Hindawi

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