Fuzzy Bases of Fuzzy Domains
This paper is an attempt to develop quantitative domain theory over frames. Firstly, we propose the notion of a fuzzy basis, and several equivalent characterizations of fuzzy bases are obtained. Furthermore, the concept of a fuzzy algebraic domain is introduced, and a relationship between fuzzy alge...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/427250 |
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| _version_ | 1832565157758238720 |
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| author | Sanping Rao Qingguo Li |
| author_facet | Sanping Rao Qingguo Li |
| author_sort | Sanping Rao |
| collection | DOAJ |
| description | This paper is an attempt to develop quantitative domain theory over frames. Firstly, we propose the notion of a fuzzy basis, and several equivalent characterizations of fuzzy bases are obtained. Furthermore, the concept of a fuzzy algebraic domain is introduced, and a relationship between fuzzy algebraic domains and fuzzy domains is discussed from the viewpoint of fuzzy basis. We finally give an application of fuzzy bases, where the image of a fuzzy domain can be preserved under some special kinds of fuzzy Galois connections. |
| format | Article |
| id | doaj-art-42bb5e397ddd404ca5362579d96823f3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-42bb5e397ddd404ca5362579d96823f32025-02-03T01:09:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/427250427250Fuzzy Bases of Fuzzy DomainsSanping Rao0Qingguo Li1College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaThis paper is an attempt to develop quantitative domain theory over frames. Firstly, we propose the notion of a fuzzy basis, and several equivalent characterizations of fuzzy bases are obtained. Furthermore, the concept of a fuzzy algebraic domain is introduced, and a relationship between fuzzy algebraic domains and fuzzy domains is discussed from the viewpoint of fuzzy basis. We finally give an application of fuzzy bases, where the image of a fuzzy domain can be preserved under some special kinds of fuzzy Galois connections.http://dx.doi.org/10.1155/2013/427250 |
| spellingShingle | Sanping Rao Qingguo Li Fuzzy Bases of Fuzzy Domains Journal of Applied Mathematics |
| title | Fuzzy Bases of Fuzzy Domains |
| title_full | Fuzzy Bases of Fuzzy Domains |
| title_fullStr | Fuzzy Bases of Fuzzy Domains |
| title_full_unstemmed | Fuzzy Bases of Fuzzy Domains |
| title_short | Fuzzy Bases of Fuzzy Domains |
| title_sort | fuzzy bases of fuzzy domains |
| url | http://dx.doi.org/10.1155/2013/427250 |
| work_keys_str_mv | AT sanpingrao fuzzybasesoffuzzydomains AT qingguoli fuzzybasesoffuzzydomains |