Generalized Lower and Upper Approximations in Quantales
We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively. The properties of generalized lower and upper approximations, constructed by a set-valued mapping, are discussed.
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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/10.1155/2012/648983 |
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| _version_ | 1849304949481013248 |
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| author | Qimei Xiao Qingguo Li |
| author_facet | Qimei Xiao Qingguo Li |
| author_sort | Qimei Xiao |
| collection | DOAJ |
| description | We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively. The properties of generalized lower and upper approximations, constructed by a set-valued mapping, are discussed. |
| format | Article |
| id | doaj-art-3b4b92c67909490ebec58572fbcf8d5d |
| 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-3b4b92c67909490ebec58572fbcf8d5d2025-08-20T03:55:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/648983648983Generalized Lower and Upper Approximations in QuantalesQimei Xiao0Qingguo Li1College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, ChinaWe introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively. The properties of generalized lower and upper approximations, constructed by a set-valued mapping, are discussed.http://dx.doi.org/10.1155/2012/648983 |
| spellingShingle | Qimei Xiao Qingguo Li Generalized Lower and Upper Approximations in Quantales Journal of Applied Mathematics |
| title | Generalized Lower and Upper Approximations in Quantales |
| title_full | Generalized Lower and Upper Approximations in Quantales |
| title_fullStr | Generalized Lower and Upper Approximations in Quantales |
| title_full_unstemmed | Generalized Lower and Upper Approximations in Quantales |
| title_short | Generalized Lower and Upper Approximations in Quantales |
| title_sort | generalized lower and upper approximations in quantales |
| url | http://dx.doi.org/10.1155/2012/648983 |
| work_keys_str_mv | AT qimeixiao generalizedlowerandupperapproximationsinquantales AT qingguoli generalizedlowerandupperapproximationsinquantales |