Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice
Two kinds of homomorphisms of fuzzy approximation spaces based on complete residuated lattice are proposed. The homomorphisms are structure-preserving maps in some sense. We also introduce the fuzzy approximation subspaces and investigate their correspondence with the homomorphisms. Given a fuzzy eq...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/809298 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559178244161536 |
|---|---|
| author | Yuan Zhao |
| author_facet | Yuan Zhao |
| author_sort | Yuan Zhao |
| collection | DOAJ |
| description | Two kinds of homomorphisms of fuzzy approximation spaces based on complete residuated lattice are proposed. The homomorphisms are structure-preserving maps in some sense. We also introduce the fuzzy approximation subspaces and investigate their correspondence with the homomorphisms. Given a fuzzy equivalence relation, the factor set of the fuzzy approximation space is discussed. |
| format | Article |
| id | doaj-art-e5df040cf1a04ab39bd447e1638afffc |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e5df040cf1a04ab39bd447e1638afffc2025-02-03T01:30:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/809298809298Homomorphisms between Fuzzy Approximation Spaces Based on Residuated LatticeYuan Zhao0College of Mathematics and Statistics, Zhengzhou Normal University, Zhengzhou 450052, ChinaTwo kinds of homomorphisms of fuzzy approximation spaces based on complete residuated lattice are proposed. The homomorphisms are structure-preserving maps in some sense. We also introduce the fuzzy approximation subspaces and investigate their correspondence with the homomorphisms. Given a fuzzy equivalence relation, the factor set of the fuzzy approximation space is discussed.http://dx.doi.org/10.1155/2014/809298 |
| spellingShingle | Yuan Zhao Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice Journal of Applied Mathematics |
| title | Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice |
| title_full | Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice |
| title_fullStr | Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice |
| title_full_unstemmed | Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice |
| title_short | Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice |
| title_sort | homomorphisms between fuzzy approximation spaces based on residuated lattice |
| url | http://dx.doi.org/10.1155/2014/809298 |
| work_keys_str_mv | AT yuanzhao homomorphismsbetweenfuzzyapproximationspacesbasedonresiduatedlattice |