Fuzzy r-continuous and fuzzy r-semicontinuous maps
We introduce a new notion of fuzzy r-interior which is an extension of Chang's fuzzy interior. Using fuzzy r-interior, we define fuzzy r-semiopen sets and fuzzy r-semicontinuous maps which are generalizations of fuzzy semiopen sets and fuzzy semicontinuous maps in Chang's fuzzy topology, r...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010882 |
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| _version_ | 1832554416765403136 |
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| author | Seok Jong Lee Eun Pyo Lee |
| author_facet | Seok Jong Lee Eun Pyo Lee |
| author_sort | Seok Jong Lee |
| collection | DOAJ |
| description | We introduce a new notion of fuzzy
r-interior which is an extension of Chang's fuzzy
interior. Using fuzzy r-interior, we define fuzzy
r-semiopen sets and fuzzy
r-semicontinuous maps which are generalizations of
fuzzy semiopen sets and fuzzy semicontinuous maps in Chang's fuzzy
topology, respectively. Some basic properties of fuzzy
r-semiopen sets and fuzzy
r-semicontinuous maps are investigated. |
| format | Article |
| id | doaj-art-4ea2726233ff484db088ae4d55d0a63d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4ea2726233ff484db088ae4d55d0a63d2025-02-03T05:51:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01271536310.1155/S0161171201010882Fuzzy r-continuous and fuzzy r-semicontinuous mapsSeok Jong Lee0Eun Pyo Lee1Department of Mathematics, Chungbuk National University, Cheongju 361-763, South KoreaDepartment of Mathematics, Seonam University, Namwon 590-711, South KoreaWe introduce a new notion of fuzzy r-interior which is an extension of Chang's fuzzy interior. Using fuzzy r-interior, we define fuzzy r-semiopen sets and fuzzy r-semicontinuous maps which are generalizations of fuzzy semiopen sets and fuzzy semicontinuous maps in Chang's fuzzy topology, respectively. Some basic properties of fuzzy r-semiopen sets and fuzzy r-semicontinuous maps are investigated.http://dx.doi.org/10.1155/S0161171201010882 |
| spellingShingle | Seok Jong Lee Eun Pyo Lee Fuzzy r-continuous and fuzzy r-semicontinuous maps International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy r-continuous and fuzzy r-semicontinuous maps |
| title_full | Fuzzy r-continuous and fuzzy r-semicontinuous maps |
| title_fullStr | Fuzzy r-continuous and fuzzy r-semicontinuous maps |
| title_full_unstemmed | Fuzzy r-continuous and fuzzy r-semicontinuous maps |
| title_short | Fuzzy r-continuous and fuzzy r-semicontinuous maps |
| title_sort | fuzzy r continuous and fuzzy r semicontinuous maps |
| url | http://dx.doi.org/10.1155/S0161171201010882 |
| work_keys_str_mv | AT seokjonglee fuzzyrcontinuousandfuzzyrsemicontinuousmaps AT eunpyolee fuzzyrcontinuousandfuzzyrsemicontinuousmaps |