Name
Abstract | ||
|---|---|---|
In this paper, we introduce the concept of fuzzy star-operations on an integral domain and show that the set of all fuzzy star-operations on the integral domain forms a complete lattice. We also characterize Prüfer domains, psuedo-Dedekind domains, (generalized-) greatest common divisor domains, and other integral domains in terms of the invertibility of certain fractionary fuzzy ideals. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0165-0114(02)00273-7 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
fer domain,pid,certain fractionary fuzzy ideal,fuzzy star-operations,(fuzzy)algebra,fuzzy star-operation,psuedo-dedekind domain,fractionary fuzzy ideal,fuzzy invertible,(g-)gcd domain,greatest common divisor domain,pseudo-principal domain,complete lattice,integral domain,prüfer domain,pseudo-dedekind domain,greatest common divisor | Discrete mathematics,Fractional ideal,Integral domain,Integrally closed domain,Fuzzy measure theory,Fuzzy logic,Fuzzy set,Fuzzy number,Mathematics,Prüfer domain | Journal |
Volume | Issue | ISSN |
136 | 1 | Fuzzy Sets and Systems |
Citations | PageRank | References |
3 | 0.65 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hwankoo Kim | 1 | 9 | 2.28 |
| Myeong Og Kim | 2 | 3 | 0.65 |
| Sung-Mi Park | 3 | 3 | 0.65 |
| Young Soo Park | 4 | 40 | 6.28 |