L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces
The concepts of stratified order-preserving operators and stratified continuity are introduced in L-fuzzy topological spaces. Their basic properties are discussed, and their characteristic properties are observed. The relationship between induced stratified order-preserving topological spaces and ge...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/925948 |
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| _version_ | 1832563768683397120 |
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| author | Xiu-Yun Wu Li-Li Xie Liang-Sheng Huang |
| author_facet | Xiu-Yun Wu Li-Li Xie Liang-Sheng Huang |
| author_sort | Xiu-Yun Wu |
| collection | DOAJ |
| description | The concepts of stratified order-preserving
operators and stratified continuity are introduced in L-fuzzy topological spaces. Their basic properties are discussed, and their characteristic
properties are observed. The relationship between induced stratified
order-preserving topological spaces and general order-preserving operator topological spaces is studied. Finally, stratified connectedness is
introduced, and its properties are studied systematically. |
| format | Article |
| id | doaj-art-4ab7cdc21e91400a88ed4853864949c9 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-4ab7cdc21e91400a88ed4853864949c92025-02-03T01:12:35ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/925948925948L-Fuzzy Connectedness in Stratified Order-Preserving Operator SpacesXiu-Yun Wu0Li-Li Xie1Liang-Sheng Huang2Department of Mathematics, Hunan University of Science and Engineering, Yongzhong 425100, ChinaDepartment of English Teaching, Hunan University of Science and Engineering, Yongzhong 425100, ChinaDepartment of Physics and Mathematics, WuYi University, Jangmen 529020, ChinaThe concepts of stratified order-preserving operators and stratified continuity are introduced in L-fuzzy topological spaces. Their basic properties are discussed, and their characteristic properties are observed. The relationship between induced stratified order-preserving topological spaces and general order-preserving operator topological spaces is studied. Finally, stratified connectedness is introduced, and its properties are studied systematically.http://dx.doi.org/10.1155/2012/925948 |
| spellingShingle | Xiu-Yun Wu Li-Li Xie Liang-Sheng Huang L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces Advances in Fuzzy Systems |
| title | L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces |
| title_full | L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces |
| title_fullStr | L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces |
| title_full_unstemmed | L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces |
| title_short | L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces |
| title_sort | l fuzzy connectedness in stratified order preserving operator spaces |
| url | http://dx.doi.org/10.1155/2012/925948 |
| work_keys_str_mv | AT xiuyunwu lfuzzyconnectednessinstratifiedorderpreservingoperatorspaces AT lilixie lfuzzyconnectednessinstratifiedorderpreservingoperatorspaces AT liangshenghuang lfuzzyconnectednessinstratifiedorderpreservingoperatorspaces |