HOMOMORPHISM IN ROUGH LATTICE
− In this paper, we introduce the concept of set-valued homomorphism of a lattice which isthe generalization of ordinary lattice homomorphism. We construct generalized rough lower and upperapproximations operators, by means of a set-valued mapping, which are also the generalized form oflower and upp...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Naim Çağman
2015-06-01
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| Series: | Journal of New Theory |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/407444 |
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| _version_ | 1850079802437926912 |
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| author | Dipankar Rana Sankar Kumar Roy |
| author_facet | Dipankar Rana Sankar Kumar Roy |
| author_sort | Dipankar Rana |
| collection | DOAJ |
| description | − In this paper, we introduce the concept of set-valued homomorphism of a lattice which isthe generalization of ordinary lattice homomorphism. We construct generalized rough lower and upperapproximations operators, by means of a set-valued mapping, which are also the generalized form oflower and upper approximations of a lattice, and the corresponding properties are investigated andfinally we cite an example to show usefulness of the paper |
| format | Article |
| id | doaj-art-2bebcd6653414e44980ec474f936eb3c |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2015-06-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-2bebcd6653414e44980ec474f936eb3c2025-08-20T02:45:07ZengNaim ÇağmanJournal of New Theory2149-14022015-06-01519252425HOMOMORPHISM IN ROUGH LATTICEDipankar RanaSankar Kumar Roy− In this paper, we introduce the concept of set-valued homomorphism of a lattice which isthe generalization of ordinary lattice homomorphism. We construct generalized rough lower and upperapproximations operators, by means of a set-valued mapping, which are also the generalized form oflower and upper approximations of a lattice, and the corresponding properties are investigated andfinally we cite an example to show usefulness of the paperhttps://dergipark.org.tr/en/download/article-file/407444− rough setlower and upper approximationslatticeequivalence relationhomomorphism |
| spellingShingle | Dipankar Rana Sankar Kumar Roy HOMOMORPHISM IN ROUGH LATTICE Journal of New Theory − rough set lower and upper approximations lattice equivalence relation homomorphism |
| title | HOMOMORPHISM IN ROUGH LATTICE |
| title_full | HOMOMORPHISM IN ROUGH LATTICE |
| title_fullStr | HOMOMORPHISM IN ROUGH LATTICE |
| title_full_unstemmed | HOMOMORPHISM IN ROUGH LATTICE |
| title_short | HOMOMORPHISM IN ROUGH LATTICE |
| title_sort | homomorphism in rough lattice |
| topic | − rough set lower and upper approximations lattice equivalence relation homomorphism |
| url | https://dergipark.org.tr/en/download/article-file/407444 |
| work_keys_str_mv | AT dipankarrana homomorphisminroughlattice AT sankarkumarroy homomorphisminroughlattice |