In the mathematical applications, ideal concepts are involved. They have been studied and analyzed in various ways. Already ideal and α-ideal concepts were discussed in BF-algebras. In this paper the idea of bipolar ...In the mathematical applications, ideal concepts are involved. They have been studied and analyzed in various ways. Already ideal and α-ideal concepts were discussed in BF-algebras. In this paper the idea of bipolar valued fuzzy α-ideal of BF algebra is proposed. The relationship between bipolar valued fuzzy ideal and bipolar valued fuzzy α-ideal is studied. Some interesting results are also discussed.展开更多
高校公共危机预警分级是高校公共危机预警管理的关键工作之一.高校公共危机预警分级可依据危机事件和危机管理两个维度进行评测:危机事件维度测度危机的影响程度、致灾强度和扩散程度;危机管理维度测度危机的认知度、承受度和管理有序度...高校公共危机预警分级是高校公共危机预警管理的关键工作之一.高校公共危机预警分级可依据危机事件和危机管理两个维度进行评测:危机事件维度测度危机的影响程度、致灾强度和扩散程度;危机管理维度测度危机的认知度、承受度和管理有序度.构建了涵盖15个指标的高校公共危机预警分级评价体系,并提出了改进的α截集模糊TOPSIS(technique for order preference by similarity to an ideal solution)的评价方法,然后结合模糊评价方法对5个高校公共危机事件进行实证研究.展开更多
A classical problem in ring theory is to study conditions under which a ring is forced to become commutative. Stimulated from Jacobson＇s famous result, several tech- niques are developed to achieve this goal. In the ...A classical problem in ring theory is to study conditions under which a ring is forced to become commutative. Stimulated from Jacobson＇s famous result, several tech- niques are developed to achieve this goal. In the present note, we use a pair of rings, which are the ingredients of a Morita context, and obtain that if one of the ring is prime with the generalized （α β）-derivations that satisfy certain conditions on the trace ideal of the ring, which by default is a Lie ideal, and the other ring is reduced, then the trace ideal of the reduced ring is contained in the center of the ring. As an outcome, in case of a semi-projective Morita context, the reduced ring becomes commutative.展开更多
文摘In the mathematical applications, ideal concepts are involved. They have been studied and analyzed in various ways. Already ideal and α-ideal concepts were discussed in BF-algebras. In this paper the idea of bipolar valued fuzzy α-ideal of BF algebra is proposed. The relationship between bipolar valued fuzzy ideal and bipolar valued fuzzy α-ideal is studied. Some interesting results are also discussed.
文摘高校公共危机预警分级是高校公共危机预警管理的关键工作之一.高校公共危机预警分级可依据危机事件和危机管理两个维度进行评测:危机事件维度测度危机的影响程度、致灾强度和扩散程度;危机管理维度测度危机的认知度、承受度和管理有序度.构建了涵盖15个指标的高校公共危机预警分级评价体系,并提出了改进的α截集模糊TOPSIS(technique for order preference by similarity to an ideal solution)的评价方法,然后结合模糊评价方法对5个高校公共危机事件进行实证研究.
文摘A classical problem in ring theory is to study conditions under which a ring is forced to become commutative. Stimulated from Jacobson＇s famous result, several tech- niques are developed to achieve this goal. In the present note, we use a pair of rings, which are the ingredients of a Morita context, and obtain that if one of the ring is prime with the generalized （α β）-derivations that satisfy certain conditions on the trace ideal of the ring, which by default is a Lie ideal, and the other ring is reduced, then the trace ideal of the reduced ring is contained in the center of the ring. As an outcome, in case of a semi-projective Morita context, the reduced ring becomes commutative.
