Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets
The definition of hesitant interval-valued intuitionistic fuzzy sets (HIVIFSs) is developed based on interval-valued intuitionistic fuzzy sets (IVIFSs) and hesitant fuzzy sets (HFSs). Then, some operations on HIVIFSs are introduced in detail, and their properties are further discussed. In addition,...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/868515 |
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| author | Juan-juan Peng Jian-qiang Wang Jing Wang Xiao-hong Chen |
| author_facet | Juan-juan Peng Jian-qiang Wang Jing Wang Xiao-hong Chen |
| author_sort | Juan-juan Peng |
| collection | DOAJ |
| description | The definition of hesitant interval-valued intuitionistic fuzzy sets (HIVIFSs) is developed based on interval-valued intuitionistic fuzzy sets (IVIFSs) and hesitant fuzzy sets (HFSs). Then, some operations on HIVIFSs are introduced in detail, and their properties are further discussed. In addition, some hesitant interval-valued intuitionistic fuzzy number aggregation operators based on t-conorms and t-norms are proposed, which can be used to aggregate decision-makers' information in multicriteria decision-making (MCDM) problems. Some valuable proposals of these operators are studied. In particular, based on algebraic and Einstein t-conorms and t-norms, some hesitant interval-valued intuitionistic fuzzy algebraic aggregation operators and Einstein aggregation operators can be obtained, respectively. Furthermore, an approach of MCDM problems based on the proposed aggregation operators is given using hesitant interval-valued intuitionistic fuzzy information. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the developed approach, and the study is supported by a sensitivity analysis and a comparison analysis. |
| format | Article |
| id | doaj-art-dd47694b3ff147719c36c8ec9cbe4539 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-dd47694b3ff147719c36c8ec9cbe45392025-08-20T02:21:33ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/868515868515Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy SetsJuan-juan Peng0Jian-qiang Wang1Jing Wang2Xiao-hong Chen3School of Business, Central South University, Changsha 410083, ChinaSchool of Business, Central South University, Changsha 410083, ChinaSchool of Business, Central South University, Changsha 410083, ChinaSchool of Business, Central South University, Changsha 410083, ChinaThe definition of hesitant interval-valued intuitionistic fuzzy sets (HIVIFSs) is developed based on interval-valued intuitionistic fuzzy sets (IVIFSs) and hesitant fuzzy sets (HFSs). Then, some operations on HIVIFSs are introduced in detail, and their properties are further discussed. In addition, some hesitant interval-valued intuitionistic fuzzy number aggregation operators based on t-conorms and t-norms are proposed, which can be used to aggregate decision-makers' information in multicriteria decision-making (MCDM) problems. Some valuable proposals of these operators are studied. In particular, based on algebraic and Einstein t-conorms and t-norms, some hesitant interval-valued intuitionistic fuzzy algebraic aggregation operators and Einstein aggregation operators can be obtained, respectively. Furthermore, an approach of MCDM problems based on the proposed aggregation operators is given using hesitant interval-valued intuitionistic fuzzy information. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the developed approach, and the study is supported by a sensitivity analysis and a comparison analysis.http://dx.doi.org/10.1155/2014/868515 |
| spellingShingle | Juan-juan Peng Jian-qiang Wang Jing Wang Xiao-hong Chen Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets The Scientific World Journal |
| title | Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets |
| title_full | Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets |
| title_fullStr | Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets |
| title_full_unstemmed | Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets |
| title_short | Multicriteria Decision-Making Approach with Hesitant Interval-Valued Intuitionistic Fuzzy Sets |
| title_sort | multicriteria decision making approach with hesitant interval valued intuitionistic fuzzy sets |
| url | http://dx.doi.org/10.1155/2014/868515 |
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