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1)  generalized fuzzy completely regular subsemigroups
广义模糊完全正则子半群
1.
In this paper, we give the definitions of (∈,∈∨q(λ,μ))- fuzzy subsemigroups, (∈,∈∨q(λ,μ))- fuzzy completely regular subsemigroups, generalized fuzzy completely regular subsemigroups, (∈,∈∨q(λ,μ))- fuzzy ideals(right ideal, left ideal, bi–ideal, interior ideal),generalized fuzzy ideals(right ideal, left ideal, bi–ideal, interior ideal) and generalized (α,β)- fuzzy interior ideals of semigroups.
本文研究并讨论了(∈,∈∨q(λ,μ))-模糊子半群, (∈,∈∨q(λ,μ))-模糊完全正则子半群,广义模糊完全正则子半群,半群中的(∈,∈∨q(λ,μ))-模糊理想(右理想,左理想,双理想,内理想)、广义模糊理想(右理想,左理想,双理想,内理想)、广义(α,β)-模糊内理想、(∈,∈∨q(λ,μ))-模糊子近环及其理想和(∈,∈∨q (λ,μ))-模糊子近环及其模糊理想。
2)  Generalized Fuzzy Regular Subsemigroup
广义模糊正则子半群
3)  Generalized Fuzzy Weakly Regular Subsemigroup
广义模糊弱正则子半群
4)  (∈,∈∨q(λ,μ))-fuzzy completely regular subsemigroups
(∈,∈∨q(λ,μ))-模糊完全正则子半群
1.
The paper introduces the definition of(∈,∈∨q(λ,μ))-fuzzy subsemigroup,(∈,∈∨q(λ,μ))-fuzzy completely regular subsemigroups and generalized completely regular subsemigroups and discusses the equivalence conditions between them.
文中给出了(∈,∈∨q(λ,μ))-模糊子半群,(∈,∈∨q(λ,μ))-模糊完全正则子半群和广义模糊完全正则子半群的概念及它们之间的等价刻画。
5)  generalized fuzzy subsemigroup
广义模糊子半群
6)  fully-regular subsemigroup
完全φ-正则子半群
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