A Novel Concept of Fuzzy Subsemigroup (Ideal)
This paper focuses on a generalized definition of fuzzy subsemigroup (ideal) on semigroup. Let L be a completely distributive lattice; we introduce the definition of L-fuzzy ideal and also the novel concept of subsemigroup (ideal) on semigroup. Then, we discuss the necessary and sufficient condition...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5830590 |
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| _version_ | 1832552950274195456 |
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| author | Yu-Hong Che Qi Liu |
| author_facet | Yu-Hong Che Qi Liu |
| author_sort | Yu-Hong Che |
| collection | DOAJ |
| description | This paper focuses on a generalized definition of fuzzy subsemigroup (ideal) on semigroup. Let L be a completely distributive lattice; we introduce the definition of L-fuzzy ideal and also the novel concept of subsemigroup (ideal) on semigroup. Then, we discuss the necessary and sufficient conditions of L-fuzzy subsemigroup (ideal) measure using the four level cuts of an L-fuzzy set. Moreover, we study the properties of L-fuzzy subsemigroup (ideal) measure. As an application of L-fuzzy subsemigroup (ideal) measure, we obtain the L-fuzzy convexities on a semigroup and bijective semigroup homomorphic mapping is an L-fuzzy isomorphism. |
| format | Article |
| id | doaj-art-e87ac102ee694861944a0192abb32038 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e87ac102ee694861944a0192abb320382025-02-03T05:57:30ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5830590A Novel Concept of Fuzzy Subsemigroup (Ideal)Yu-Hong Che0Qi Liu1School of Mathematics and StatisticsSchool of Mathematics and StatisticsThis paper focuses on a generalized definition of fuzzy subsemigroup (ideal) on semigroup. Let L be a completely distributive lattice; we introduce the definition of L-fuzzy ideal and also the novel concept of subsemigroup (ideal) on semigroup. Then, we discuss the necessary and sufficient conditions of L-fuzzy subsemigroup (ideal) measure using the four level cuts of an L-fuzzy set. Moreover, we study the properties of L-fuzzy subsemigroup (ideal) measure. As an application of L-fuzzy subsemigroup (ideal) measure, we obtain the L-fuzzy convexities on a semigroup and bijective semigroup homomorphic mapping is an L-fuzzy isomorphism.http://dx.doi.org/10.1155/2022/5830590 |
| spellingShingle | Yu-Hong Che Qi Liu A Novel Concept of Fuzzy Subsemigroup (Ideal) Journal of Mathematics |
| title | A Novel Concept of Fuzzy Subsemigroup (Ideal) |
| title_full | A Novel Concept of Fuzzy Subsemigroup (Ideal) |
| title_fullStr | A Novel Concept of Fuzzy Subsemigroup (Ideal) |
| title_full_unstemmed | A Novel Concept of Fuzzy Subsemigroup (Ideal) |
| title_short | A Novel Concept of Fuzzy Subsemigroup (Ideal) |
| title_sort | novel concept of fuzzy subsemigroup ideal |
| url | http://dx.doi.org/10.1155/2022/5830590 |
| work_keys_str_mv | AT yuhongche anovelconceptoffuzzysubsemigroupideal AT qiliu anovelconceptoffuzzysubsemigroupideal AT yuhongche novelconceptoffuzzysubsemigroupideal AT qiliu novelconceptoffuzzysubsemigroupideal |