m-半格的粗糙模糊理想

Rough Fuzzy Ideals of m-Semilattices

应用粗糙集理论给出m-半格上由模糊(素)理想诱导的同余及关于这种同余上(下)粗糙模糊近似算子的性质.通过引入m-半格粗糙模糊(素)理想的概念,讨论了m-半格上粗糙模糊(素)理想与模糊(素)理想的关系及粗糙模糊(素)理想与(素)理想的关系.

Using rough set theory, we proposed the congruences induced by fuzzy （prime） ideals of an m-semilattice and studied the properties of the upper （lower） rough fuzzy approximation operators with respect to these congruences. Then we introduced the notions of rough fuzzy （prime） ideals of m-semilattices, and established the relationships between rough fuzzy （prime） ideals and fuzzy （prime） ideals and the relationships between rough fuzzy （prime） ideals and （prime） ideals of m-semilattices.