2) generalized extension principle
广义扩张原理
1.
It is proved that the upper approximation of such fuzzy rough set in a fuzzy approximation space is just its image derived according to generalized extension principle and binary fuzzy similar relation.
通过对偶方式定义了模糊集的上、下近似算子,给出了模糊粗糙集在相应的模糊关系及模糊集的截集下的表示定理,证明了这种模糊粗糙集关于模糊近似空间的上近似恰为其在二元模糊相似关系下导出的广义扩张原理之下的像。
2.
Zadeh s extension principle is one of the main tools of fuzzy set theory,In this paper, a generalized extension principle according to general fuzzy relations is propeed,with its basic properties discussed.
本文针对一般的模糊关系提出了一种广义扩张原理并讨论了它的基本性质，为进一步研究模糊集合论提供了一种方法。
3) generalized nonexpansive mapping
广义非扩张映像
1.
This paper presents the existence and iteration approximation of fixed point for one type of generalized nonexpansive mapping in Banach space.
在 Ｂａｎａｃｈ空间中讨论一类广义非扩张映像的不动点的存在性和迭代逼近，以及不动点集的性质。
4) extended centroid extension
广义形心扩张
1.
The concepts of extended centroid extension is introduced, the primitivity of extended centroid extension on prime GPI-rings is studied.
类似于中心扩张，本文引入了广义形心扩张的概念，且研究了广义形心扩张的本原性。
5) On FI-Generalized Extending Modules
FI-广义扩张模
6) (strongly) FI-generalized extending module
(强)FI-广义扩张模
1.
As proper generalizations of FI-extending modules and generalized extending modules,concepts of(strongly) FI-generalized extending modules are introduced,and some basic properties are discussed.
作为FI-扩张模和广义扩张模的真推广,引入了(强)FI-广义扩张模的概念并讨论了这些模的基本性质。
补充资料：极大扩张和极小扩张
极大扩张和极小扩张
maximal and minimal extensions
极大扩张和极小扩张匡.习的司出目.公油抽lex妇心.旧;MaKcl.Ma刀‘.oe H Mll.”M田.妇oe PaC山一Pe皿朋] 一个对称算子(s笋nr贺苗c opemtor)A的极大扩张和极小扩张分别是算子牙(A的闭包，(见闭算子(cfo“月。详mtor”)和A’(A的伴随，见伴随算子(呐。int opera.tor)).A的所有闭对称扩张都出现在它们之间.极大扩张和极小扩张相等等价于A的自伴性(见自伴算子(义休.adjoint operator))，并且是自伴扩张唯一性的必要和充分条件.A.H.J’Ior朋oB，B.c.lll户、MaR撰
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条