Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems
As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set...
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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/10.1155/2014/645953 |
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| _version_ | 1832568420587012096 |
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| author | Hong-yu Zhang Jian-qiang Wang Xiao-hong Chen |
| author_facet | Hong-yu Zhang Jian-qiang Wang Xiao-hong Chen |
| author_sort | Hong-yu Zhang |
| collection | DOAJ |
| description | As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number. However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decision making method. For this purpose, the operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs) in this paper. On the basis of the operations and comparison approach, two interval neutrosophic number aggregation operators are developed. Then, a method for multicriteria decision making problems is explored applying the aggregation operators. In addition, an example is provided to illustrate the application of the proposed method. |
| format | Article |
| id | doaj-art-353f834475194c16855f550e3ab9cb87 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-353f834475194c16855f550e3ab9cb872025-02-03T00:59:03ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/645953645953Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making ProblemsHong-yu Zhang0Jian-qiang Wang1Xiao-hong Chen2School of Business, Central South University, Changsha 410083, ChinaSchool of Business, Central South University, Changsha 410083, ChinaSchool of Business, Central South University, Changsha 410083, ChinaAs a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number. However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decision making method. For this purpose, the operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs) in this paper. On the basis of the operations and comparison approach, two interval neutrosophic number aggregation operators are developed. Then, a method for multicriteria decision making problems is explored applying the aggregation operators. In addition, an example is provided to illustrate the application of the proposed method.http://dx.doi.org/10.1155/2014/645953 |
| spellingShingle | Hong-yu Zhang Jian-qiang Wang Xiao-hong Chen Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems The Scientific World Journal |
| title | Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems |
| title_full | Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems |
| title_fullStr | Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems |
| title_full_unstemmed | Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems |
| title_short | Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems |
| title_sort | interval neutrosophic sets and their application in multicriteria decision making problems |
| url | http://dx.doi.org/10.1155/2014/645953 |
| work_keys_str_mv | AT hongyuzhang intervalneutrosophicsetsandtheirapplicationinmulticriteriadecisionmakingproblems AT jianqiangwang intervalneutrosophicsetsandtheirapplicationinmulticriteriadecisionmakingproblems AT xiaohongchen intervalneutrosophicsetsandtheirapplicationinmulticriteriadecisionmakingproblems |