Name
Abstract | ||
|---|---|---|
In this paper, we investigate relationships between different definitions of fuzzy ideals of a fuzzy semigroup. The equivalence of different definitions of fuzzy ideals of a fuzzy semigroup is obtained. We show that the lattice of all @f-fuzzy ideals of a fuzzy semigroup X is a complete sublattice of the lattice of all fuzzy sets in X when @f is an infinitely @?-distributive weak pseudo-t-norm on L. A definition of @f-semiprime fuzzy ideal of a fuzzy semigroup is given. A description of all @f-semigroups, in which every @f-fuzzy ideal is @f-semiprime, is obtained. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.ins.2009.06.026 | Inf. Sci. |
Keywords | Field | DocType |
distributive weak pseudo-t-norm,fuzzy set,f-semiprime fuzzy ideal,complete sublattice,f-fuzzy ideal,fuzzy ideal,different definition,fuzzy semigroup x,fuzzy semigroup,semigroup | Discrete mathematics,Semiprime,Lattice (order),Fuzzy logic,Fuzzy measure theory,Fuzzy mathematics,Fuzzy set,Fuzzy subalgebra,Semigroup,Mathematics | Journal |
Volume | Issue | ISSN |
179 | 20 | 0020-0255 |
Citations | PageRank | References |
3 | 0.43 | 14 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| O. Kazancı | 1 | 50 | 5.37 |
| S. Yamak | 2 | 104 | 8.02 |