M-Hazy Module and Its Homomorphism Theorem
Based on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M-hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M-hazy modul...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/3581113 |
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| _version_ | 1832559634154520576 |
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| author | Donghua Huo Hongyu Liu |
| author_facet | Donghua Huo Hongyu Liu |
| author_sort | Donghua Huo |
| collection | DOAJ |
| description | Based on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M-hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M-hazy module by fuzzifications of algebraic operations. Then, we investigate the fundamental properties of M-hazy modules and M-hazy submodules. In particular, we present the M-hazy module homomorphism theorem. |
| format | Article |
| id | doaj-art-804b70d6a00040c69c38293aaa533db0 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-804b70d6a00040c69c38293aaa533db02025-02-03T01:29:33ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/3581113M-Hazy Module and Its Homomorphism TheoremDonghua Huo0Hongyu Liu1School of MathematicsSchool of MathematicsBased on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M-hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M-hazy module by fuzzifications of algebraic operations. Then, we investigate the fundamental properties of M-hazy modules and M-hazy submodules. In particular, we present the M-hazy module homomorphism theorem.http://dx.doi.org/10.1155/2023/3581113 |
| spellingShingle | Donghua Huo Hongyu Liu M-Hazy Module and Its Homomorphism Theorem Journal of Mathematics |
| title | M-Hazy Module and Its Homomorphism Theorem |
| title_full | M-Hazy Module and Its Homomorphism Theorem |
| title_fullStr | M-Hazy Module and Its Homomorphism Theorem |
| title_full_unstemmed | M-Hazy Module and Its Homomorphism Theorem |
| title_short | M-Hazy Module and Its Homomorphism Theorem |
| title_sort | m hazy module and its homomorphism theorem |
| url | http://dx.doi.org/10.1155/2023/3581113 |
| work_keys_str_mv | AT donghuahuo mhazymoduleanditshomomorphismtheorem AT hongyuliu mhazymoduleanditshomomorphismtheorem |