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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Published inJournal of Applied Mathematics Vol. 2014; no. 2014; pp. 678 - 688-375
Main Author Zhang, Huimin
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
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
United States
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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).
AbstractList 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).
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).
Audience Academic
Author Zhang, Huimin
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ContentType Journal Article
Copyright Copyright © 2014 Huimin Zhang.
COPYRIGHT 2014 John Wiley & Sons, Inc.
Copyright © 2014 Huimin Zhang. Huimin Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright 2014 Hindawi Publishing Corporation
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– notice: COPYRIGHT 2014 John Wiley & Sons, Inc.
– notice: Copyright © 2014 Huimin Zhang. Huimin Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Snippet To better deal with imprecise and uncertain information in decision making, the definition of linguistic intuitionistic fuzzy sets (LIFSs) is introduced, which...
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SubjectTerms 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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Title Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM
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