On Generalised Interval-Valued Fuzzy Soft Sets
Soft set theory, initiated by Molodtsov, can be used as a new mathematical tool for dealing with imprecise, vague, and uncertain problems. In this paper, the concepts of two types of generalised interval-valued fuzzy soft set are proposed and their basic properties are studied. The lattice structure...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/479783 |
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| _version_ | 1832564441826197504 |
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| author | Xiaoqiang Zhou Qingguo Li Lankun Guo |
| author_facet | Xiaoqiang Zhou Qingguo Li Lankun Guo |
| author_sort | Xiaoqiang Zhou |
| collection | DOAJ |
| description | Soft set theory, initiated by Molodtsov, can be used as a new mathematical tool for
dealing with imprecise, vague, and uncertain problems. In this paper, the concepts of two types of
generalised interval-valued fuzzy soft set are proposed and their basic properties are studied. The
lattice structures of generalised interval-valued fuzzy soft set are also discussed. Furthermore, an
application of the new approach in decision making based on generalised interval-valued fuzzy
soft set is developed. |
| format | Article |
| id | doaj-art-f12833c4e465418a953248e00bed751a |
| 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-f12833c4e465418a953248e00bed751a2025-02-03T01:11:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/479783479783On Generalised Interval-Valued Fuzzy Soft SetsXiaoqiang Zhou0Qingguo Li1Lankun Guo2College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Computer and Communication, Hunan University, Changsha 410082, ChinaSoft set theory, initiated by Molodtsov, can be used as a new mathematical tool for dealing with imprecise, vague, and uncertain problems. In this paper, the concepts of two types of generalised interval-valued fuzzy soft set are proposed and their basic properties are studied. The lattice structures of generalised interval-valued fuzzy soft set are also discussed. Furthermore, an application of the new approach in decision making based on generalised interval-valued fuzzy soft set is developed.http://dx.doi.org/10.1155/2012/479783 |
| spellingShingle | Xiaoqiang Zhou Qingguo Li Lankun Guo On Generalised Interval-Valued Fuzzy Soft Sets Journal of Applied Mathematics |
| title | On Generalised Interval-Valued Fuzzy Soft Sets |
| title_full | On Generalised Interval-Valued Fuzzy Soft Sets |
| title_fullStr | On Generalised Interval-Valued Fuzzy Soft Sets |
| title_full_unstemmed | On Generalised Interval-Valued Fuzzy Soft Sets |
| title_short | On Generalised Interval-Valued Fuzzy Soft Sets |
| title_sort | on generalised interval valued fuzzy soft sets |
| url | http://dx.doi.org/10.1155/2012/479783 |
| work_keys_str_mv | AT xiaoqiangzhou ongeneralisedintervalvaluedfuzzysoftsets AT qingguoli ongeneralisedintervalvaluedfuzzysoftsets AT lankunguo ongeneralisedintervalvaluedfuzzysoftsets |