计算机科学与探索
計算機科學與探索
계산궤과학여탐색
JOURNAL OF FRONTIERS OF COMPUTER SCIENCE & TECHNOLOGY
2015年
2期
227-233
,共7页
格蕴涵代数%(∈,∈∨q(λ,μ)-模糊素滤子%(λ,μ)-模糊素滤子%扩张定理
格蘊涵代數%(∈,∈∨q(λ,μ)-模糊素濾子%(λ,μ)-模糊素濾子%擴張定理
격온함대수%(∈,∈∨q(λ,μ)-모호소려자%(λ,μ)-모호소려자%확장정리
lattice implication algebra%(∈,∈∨q(λ,μ)-fuzzy filter%(λ,μ)-fuzzy filter%extension theorem
将(?'?úq(λ'μ))-模糊代数应用于格蕴涵代数，提出了点态化(?'?úq(λ'μ))-模糊素滤子和(λ'μ)-模糊素滤子的概念，并从以下几个方面对(?'?úq(λ'μ))-模糊素滤子进行了详细的研究：讨论了(?'?úq(λ'μ))-模糊素滤子和(λ'μ)-模糊素滤子的等价关系；研究了(?'?úq(λ'μ))-模糊素滤子的相关性质；得到了特定条件下(?'?úq(λ'μ))-模糊素滤子的若干等价刻画，建立了(?'?úq(λ'μ))-模糊素滤子的扩张定理；探讨了(?'?úq(λ'μ))-模糊素滤子的同态像与同态原像。
將(?'?úq(λ'μ))-模糊代數應用于格蘊涵代數，提齣瞭點態化(?'?úq(λ'μ))-模糊素濾子和(λ'μ)-模糊素濾子的概唸，併從以下幾箇方麵對(?'?úq(λ'μ))-模糊素濾子進行瞭詳細的研究：討論瞭(?'?úq(λ'μ))-模糊素濾子和(λ'μ)-模糊素濾子的等價關繫；研究瞭(?'?úq(λ'μ))-模糊素濾子的相關性質；得到瞭特定條件下(?'?úq(λ'μ))-模糊素濾子的若榦等價刻畫，建立瞭(?'?úq(λ'μ))-模糊素濾子的擴張定理；探討瞭(?'?úq(λ'μ))-模糊素濾子的同態像與同態原像。
장(?'?úq(λ'μ))-모호대수응용우격온함대수，제출료점태화(?'?úq(λ'μ))-모호소려자화(λ'μ)-모호소려자적개념，병종이하궤개방면대(?'?úq(λ'μ))-모호소려자진행료상세적연구：토론료(?'?úq(λ'μ))-모호소려자화(λ'μ)-모호소려자적등개관계；연구료(?'?úq(λ'μ))-모호소려자적상관성질；득도료특정조건하(?'?úq(λ'μ))-모호소려자적약간등개각화，건립료(?'?úq(λ'μ))-모호소려자적확장정리；탐토료(?'?úq(λ'μ))-모호소려자적동태상여동태원상。
By applying (?'? úq(λ'μ))-fuzzy algebras to lattice implication algebras, this paper introduces the concepts of the pointwise (?'? úq(λ'μ))-fuzzy prime filter and (λ'μ)-fuzzy prime filter, and carries out a detailed investigation on the (?'? úq(λ'μ))-fuzzy prime filter from the following aspects:discussing the equivalence relationship between (?'? úq(λ'μ))-fuzzy prime filter and (λ'μ)-fuzzy prime filter; studying the related properties of (?'? úq(λ'μ))-fuzzy prime filter;with certain conditions, giving some equivalent descriptions of the (?'? úq(λ'μ))-fuzzy prime filter and establishing the extension theorem of (?'? úq(λ'μ))-fuzzy prime filter; investigating the homomorphic image and homomorphic preimage of (?'? úq(λ'μ))-fuzzy prime filter.
