Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings

Abstract

Generalized roughness for fuzzy ideals in hemirings is studied. Approximations for fuzzy prime ideals are discussed. It is shown that generalized lower approximation as well as generalized upper approximation of (∈ , ∈∨q)-fuzzy prime (semiprime) ideals of hemirings are (∈ , ∈∨q) fuzzy prime (semiprime) ideals.

Keywords

• Fuzzy sets
• Rough sets
• Semirings
• Ideals
• fuzzy ideals.