Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets
This paper mainly focuses on multivariate extension of the extension principle of IFSs. Based on the Cartesian product over IFSs, the multivariate extension principle of IFSs is established. Furthermore, three kinds of representation of this principle are provided. Finally, a general framework of th...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/845090 |
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| _version_ | 1832560081803149312 |
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| author | Yonghong Shen Wei Chen |
| author_facet | Yonghong Shen Wei Chen |
| author_sort | Yonghong Shen |
| collection | DOAJ |
| description | This paper mainly focuses on multivariate extension of the extension principle of IFSs. Based on the Cartesian product over IFSs, the multivariate extension principle of IFSs is established. Furthermore, three kinds of representation of this principle are provided. Finally, a general framework of the algebraic operation between IFSs is given by using the multivariate extension principle. |
| format | Article |
| id | doaj-art-fb55efd83c0b45328d5ba5d0deecd3b6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fb55efd83c0b45328d5ba5d0deecd3b62025-02-03T01:28:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/845090845090Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy SetsYonghong Shen0Wei Chen1School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, ChinaSchool of Information, Capital University of Economics and Business, Beijing 100070, ChinaThis paper mainly focuses on multivariate extension of the extension principle of IFSs. Based on the Cartesian product over IFSs, the multivariate extension principle of IFSs is established. Furthermore, three kinds of representation of this principle are provided. Finally, a general framework of the algebraic operation between IFSs is given by using the multivariate extension principle.http://dx.doi.org/10.1155/2012/845090 |
| spellingShingle | Yonghong Shen Wei Chen Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets Journal of Applied Mathematics |
| title | Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets |
| title_full | Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets |
| title_fullStr | Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets |
| title_full_unstemmed | Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets |
| title_short | Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets |
| title_sort | multivariate extension principle and algebraic operations of intuitionistic fuzzy sets |
| url | http://dx.doi.org/10.1155/2012/845090 |
| work_keys_str_mv | AT yonghongshen multivariateextensionprincipleandalgebraicoperationsofintuitionisticfuzzysets AT weichen multivariateextensionprincipleandalgebraicoperationsofintuitionisticfuzzysets |