Fuzzy -Continuous Posets
The aim of this paper is to generalize fuzzy continuous posets. The concept of fuzzy subset system on fuzzy posets is introduced; some elementary definitions such as fuzzy -continuous posets and fuzzy -algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy -continuous...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/607934 |
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| _version_ | 1832564776548433920 |
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| author | S. P. Rao Q. G. Li |
| author_facet | S. P. Rao Q. G. Li |
| author_sort | S. P. Rao |
| collection | DOAJ |
| description | The aim of this paper is to generalize fuzzy continuous posets. The concept of fuzzy subset system on fuzzy posets is introduced; some elementary definitions such as fuzzy -continuous posets and fuzzy -algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy -continuous maps under which the images of such fuzzy algebraic structures can be preserved; we also think about fuzzy -continuous closure operators in alternative ways. An extension theorem is presented for extending a fuzzy monotone map defined on the -compact elements to a fuzzy -continuous map defined on the whole set. |
| format | Article |
| id | doaj-art-b6811efa8e194186a572d216d482d444 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b6811efa8e194186a572d216d482d4442025-02-03T01:10:15ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/607934607934Fuzzy -Continuous PosetsS. P. Rao0Q. G. Li1College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaThe aim of this paper is to generalize fuzzy continuous posets. The concept of fuzzy subset system on fuzzy posets is introduced; some elementary definitions such as fuzzy -continuous posets and fuzzy -algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy -continuous maps under which the images of such fuzzy algebraic structures can be preserved; we also think about fuzzy -continuous closure operators in alternative ways. An extension theorem is presented for extending a fuzzy monotone map defined on the -compact elements to a fuzzy -continuous map defined on the whole set.http://dx.doi.org/10.1155/2013/607934 |
| spellingShingle | S. P. Rao Q. G. Li Fuzzy -Continuous Posets Abstract and Applied Analysis |
| title | Fuzzy -Continuous Posets |
| title_full | Fuzzy -Continuous Posets |
| title_fullStr | Fuzzy -Continuous Posets |
| title_full_unstemmed | Fuzzy -Continuous Posets |
| title_short | Fuzzy -Continuous Posets |
| title_sort | fuzzy continuous posets |
| url | http://dx.doi.org/10.1155/2013/607934 |
| work_keys_str_mv | AT sprao fuzzycontinuousposets AT qgli fuzzycontinuousposets |