Name
Abstract | ||
|---|---|---|
In this paper, we introduce the concept of (weak) L-fuzzy polygroups and give a theorem to present the connection between the crisp polygroups and L-fuzzy polygroups. We also provide the notion of (normal) L-fuzzy subpolygroups of a (weak) L-fuzzy polygroup and investigate some of their properties. We show that the set of all the normal L-fuzzy subpolygroups is a modular lattice and obtain a kind of weak L-fuzzy quotient polygroup. Moreover, we define two kinds of operators on $${\fancyscript{L}(H)}$$, where $${\fancyscript{L}(H)}$$ is the set of all the L-fuzzy subsets in a weak L-fuzzy polygroup H, to characterize L-fuzzy subpolygroups and present some related theorems. Finally, we investigate the homomorphism properties of L-fuzzy polygroups. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00521-011-0555-0 | Neural Computing and Applications |
Keywords | DocType | Volume |
homomorphism property,L-fuzzy polygroups,L-fuzzy subpolygroups,L-fuzzy polygroup,normal L-fuzzy subpolygroups,weak L-fuzzy quotient polygroup,modular lattice,L-fuzzy subsets,weak L-fuzzy polygroup H,new view,crisp polygroups | Journal | 20 |
Issue | ISSN | Citations |
4 | 1433-3058 | 0 |
PageRank | References | Authors |
0.34 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yunqiang Yin | 1 | 686 | 43.62 |
| Jianming Zhan | 2 | 67 | 7.89 |
| Xiaokun Huang | 3 | 22 | 3.20 |