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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/432092 |
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| author | Huimin Zhang |
| author_facet | Huimin Zhang |
| author_sort | Huimin Zhang |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-4dcfb80958b745e28457165477ebcda8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4dcfb80958b745e28457165477ebcda82025-02-03T01:33:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/432092432092Linguistic Intuitionistic Fuzzy Sets and Application in MAGDMHuimin Zhang0School of Management, Henan University of Technology, Zhengzhou 450001, ChinaTo 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).http://dx.doi.org/10.1155/2014/432092 |
| spellingShingle | Huimin Zhang Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM Journal of Applied Mathematics |
| title | Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM |
| title_full | Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM |
| title_fullStr | Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM |
| title_full_unstemmed | Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM |
| title_short | Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM |
| title_sort | linguistic intuitionistic fuzzy sets and application in magdm |
| url | http://dx.doi.org/10.1155/2014/432092 |
| work_keys_str_mv | AT huiminzhang linguisticintuitionisticfuzzysetsandapplicationinmagdm |