L-fuzzy ordered subsemigroup degrees in ordered semigroups
Abstract
Based on a completely distributive lattice L, we propose a degree approach to L-fuzzy ordered subsemigroups of an ordered semigroup. Firstly, we introduce the concept of L-fuzzy ordered subsemigroup degree function with respect to an ordered semigroup, which can be used to describe the degree to which an L-fuzzy subset of the ordered semigroup becomes an L-fuzzy ordered subsemigroup. Secondly, we use four kinds of cut sets depending on L to characterize the L-fuzzy ordered subsemigroup degree function. Finally, we provide a natural way to construct an L-fuzzy convex structure on an ordered semigroup via the L-fuzzy ordered subsemigroup degree function, and show that the homomorphism between two ordered semigroups is an L-fuzzy convexity-preserving mapping and the monohomomorphism is an L-fuzzy convex-to-convex mapping between the resulting L-fuzzy convex spaces.
Keywords
References
- [1] Y.Y. An, F.-G. Shi and L. Wang, A generalized definition of fuzzy subrings, Journal of Mathematics, 2022(1) , 5341207, 2022.
Details
Primary Language
English
Subjects
Pure Mathematics (Other)
Journal Section
Research Article
Early Pub Date
May 18, 2026
Publication Date
-
Submission Date
April 29, 2025
Acceptance Date
March 26, 2026
Published in Issue
Year 2026 Number: Advanced Online Publication
APA
An, Y., & Pang, B. (2026). L-fuzzy ordered subsemigroup degrees in ordered semigroups. Hacettepe Journal of Mathematics and Statistics, Advanced Online Publication. https://doi.org/10.15672/hujms.1686342
AMA
1.An Y, Pang B. L-fuzzy ordered subsemigroup degrees in ordered semigroups. Hacettepe Journal of Mathematics and Statistics. 2026;(Advanced Online Publication). doi:10.15672/hujms.1686342
Chicago
An, Yingying, and Bin Pang. 2026. “L-Fuzzy Ordered Subsemigroup Degrees in Ordered Semigroups”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication. https://doi.org/10.15672/hujms.1686342.
EndNote
An Y, Pang B (May 1, 2026) L-fuzzy ordered subsemigroup degrees in ordered semigroups. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication
IEEE
[1]Y. An and B. Pang, “L-fuzzy ordered subsemigroup degrees in ordered semigroups”, Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, May 2026, doi: 10.15672/hujms.1686342.
ISNAD
An, Yingying - Pang, Bin. “L-Fuzzy Ordered Subsemigroup Degrees in Ordered Semigroups”. Hacettepe Journal of Mathematics and Statistics. Advanced Online Publication (May 1, 2026). https://doi.org/10.15672/hujms.1686342.
JAMA
1.An Y, Pang B. L-fuzzy ordered subsemigroup degrees in ordered semigroups. Hacettepe Journal of Mathematics and Statistics. 2026. doi:10.15672/hujms.1686342.
MLA
An, Yingying, and Bin Pang. “L-Fuzzy Ordered Subsemigroup Degrees in Ordered Semigroups”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, May 2026, doi:10.15672/hujms.1686342.
Vancouver
1.Yingying An, Bin Pang. L-fuzzy ordered subsemigroup degrees in ordered semigroups. Hacettepe Journal of Mathematics and Statistics. 2026 May 1;(Advanced Online Publication). doi:10.15672/hujms.1686342