1) extension principle
扩张原理
1.
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.
Zadeh扩张原理是模糊集合论的主要工具之一。
2.
We have proposed a generalized extension principle according to general fuzzy relations.
扩张原理是模糊集合论的主要工具之一,作者曾针对一般的模糊关系提出了一种广义扩张原理[6],在本文中讨论了它的若干性质及其在模糊集范畴中的初步应用。
3.
Applying the classic extension principle,the corresponding Vague logical operators defined on V(I) were constructed with continuous fuzzy triangular norms, negator and continuous fuzzy implicators.
由单位区间上连续的模糊三角模、否定算子和连续的模糊蕴涵算子,依据经典扩张原理构造V(I)上相应的Vague逻辑算子,并由此导出Vague集上交与并运算、补运算以及S-蕴涵和R-蕴涵运算的表示。
2) extension principles
扩张原理
1.
Based on this, a series of decomposition, expression theorems and extension principles for intuitionistic fuzzy sets are established.
提出直觉 Fuzzy集的截集的概念 ,并详细讨论其基本性质 ,在此基础上建立直觉 Fuzzy集的一系列分解定理、表现定理与扩张原理 。
3) 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。
4) dilated maximum principle
扩张极大值原理
5) primitive extension
本原扩张
6) fuzzy systems / extension principle
模糊系统/扩张原理
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
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