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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5830590 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 2314-4785 |