复合模糊命题运算中的弱范数研究

在模糊诊断和分析问题中 ,一个复合命题往往由多个子命题组成 ,子命题之间除有合取、析取及加权平均运算关系外 ,还存在一种非常重要的弱逻辑关系 .对基于单一数值表达的模糊命题间的合取、析取关系的最一般运算形式是三角范数和三角余范数 .该文给出基于单一数值表示模糊命题的弱逻辑关系的最一般运算形式 f 范数和基于区间值表示的模糊命题弱逻辑关系最一般运算形式 f-范数 ,具体给出相关算子 ,讨论了它们的性质及与传统的一些算子之间的联系 ,通过引入强 f 范的概念 ,给出了构造 f-范数算子的一般方法 。

C-半群的弱稳定性

引入了C-半群的个体弱稳定性和弱稳定性的概念,给出了弱稳定性的一个充分条件.

Two New Characterizations of H^p(D) Functions

In this paper,two new characterizations of H^p(D) functions are given.

Some Equivalent Conditions for the Differentiability of Continuous Gauge Functions on Banach Space

In this paper,some equivalent conditions for differentiability of condtinuous gauge function are given.

Projections of weak braided Hopf algebras

In this paper we study the projections of weak braided Hopf algebras using the notion of Yetter-Drinfeld module associated with a weak braided Hopf algebra. As a consequence, we complete the study ofthe structure of weak Hopf algebras with a projection in a braiding setting obtaining a categorical equivalencebetween the category of weak Hopf algebra projections associated with a weak Hopf algebra H living in abraided monoidal category and the category of Hopf algebras in the non-strict braided monoidal category ofleft-left Yetter-Drinfeld modules over H.