算子半环在用模糊子集刻画$Γ$ -半环中的作用
Role of operator semirings in characterizing $Γ$-semirings in terms of fuzzy subsets
摘要:
利用$Γ$ -半环的算子半环,研究了$Γ$ -半环的模糊子集.这是通过得到$Γ$ -半环的所有模糊理想的集合和它的左算子半环的所有模糊理想的集合之间的各种关系来实现的,例如$Γ$ -半环和它的算子半环的模糊理想的集合之间的格同构。
英文摘要:
The operator semirings of a $Γ$-semiring have been brought into use to study $Γ$-semiring in terms of fuzzy subsets. This is accomplished by obtaining various relationships between the set of all fuzzy ideals of a $Γ$-semiring and the set of all fuzzy ideals of its left operator semiring such as lattice isomorphism between the sets of fuzzy ideals of a $Γ$-semiring and its operator semirings.
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