English translation for "partial ordering set"
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- 偏序集合
Related Translations:
- Example Sentences:
| 1. | The mp - filters and fuzzy filters of a implication algebra on a partial ordered set are studied with the condition given in chapter 2 which implicative operator should satisfy
利用上述得到的关于蕴涵代数中蕴涵算子的条件，研究偏序集上具有条件( c )的蕴涵代数的mp滤子及fuzzy滤子。 | | 2. | The relations between heyting algebra and implication algebra with some conditions on a partial ordered set are discussed . then some conditions when a implication algebra is a boolean algebra are given . 3
系统地研究了偏序集上蕴涵代数与heyting代数之间的关系，得到了蕴涵代数中蕴涵算子的一个较好的条件，并给出了偏序集上蕴涵代数成为布尔代数的一些条件。 | | 3. | Fuzzy logic is studied with algebraic tools in this paper . a kind of algebraic abstract of fuzzy logic , implication algebra on a partial ordered set , is given . the relations between implication algebra and other algebraic structures , such as mv - algebra and heyting algebra etc . , and the filter and the structure of implication algebra on a partial ordered set are studied
本文的目的是使用代数工具对模糊逻辑进行研究，给出模糊逻辑的一类代数抽象，即偏序集上的蕴涵代数，研究偏序集上蕴涵代数与其它代数结构，如mv -代数， heyting代数之间的关系，以及偏序集上蕴涵代数的滤子与其结构等。 | | 4. | The representation theories of mp - filter which is created by an non - empty set of a implication algebra on a partial ordered set with condition ( c ) are obtained at first . and it ' s proved that the set which contains all mp - filters of a implication algebra x , denoted by mf ( x ) = { f x f is a filter of x } , is a distributive lattice and a complete lattice also in the view of the concept of mp - filter . then the fuzzy filter of a implication algebra is discussed , and the relations between mp - filter and fuzzy filter are obtained
借助于mp -滤子的概念，得到了偏序集上具有条件( c )的蕴涵代数中由非空集合所生成mp滤子的表示定理，证明了由其上所有mp -滤子组成的集合mf ( x )是一个完备的分配格；得到了蕴涵代数中fuzzy滤子与mp滤子的关系，给出了fuzzy滤子成为fuzzy素滤子的若干刻画；并利用mp -滤子和fuzzy滤子，刻画了一类偏序集上蕴涵代数的结构。 | | 5. | The primary studies in this paper are the following : ( 1 ) we define a generalized alexandroff topology on an l - fuzzy quasi ordered set which is a generalization of the alexandroff topology on an ordinary quasi ordered set , prove that the generalized alexandroff topology on an l - quasi ordered set ( x , e ) can be obtained by the join of a family of the alexandroff topologies on it , a topology on any topological space can be represented as a generalized alexandroff topology on some l - quasi ordered set , and the generalized alexandroff topologies on l - fuzzy quasi ordered sets are generalizations of the generalized alexandroff topologies on generalized ultrametric spaces which are defined by j . j . m . m . rutten etc . ( 2 ) by introducing the concepts of the join of l - fuzzy set on an l - fuzzy partial ordered set with respect to the l - fuzzy partial order and l - fuzzy directed set on an l - fuzzy quasi ordered set ( with respect to the l - fuzzy quasi order ) , we define l - fuzzy directed - complete l - fuzzy partial ordered set ( or briefly , l - fuzzy dcpo or l - fuzzy domain ) and l - fuzzy scott continuous mapping , prove that they are respectively generalizations of ordinary dcpo and scott continuous mapping , when l is a completely distributive lattice with order - reversing involution , the category l - fdom of l - fuzzy domains and l - fuzzy scott continuous mappings is isomorphic to a special kind of the category of v - domains and scott continuous mappings , that is , the category l - dcqum of directed - complete l - quasi ultrametric spaces and scott continuous mappings , and when l is a completely distributive lattice in which 1 is a molecule , l - fuzzy domains and l - fuzzy scott continuous mappings are consistent to directed lim inf complete categories and lim inf co ntinuous mappings in [ 59 ]
本文主要工作是： ( 1 )在l - fuzzy拟序集上定义广义alexandroff拓扑，证明了它是通常拟序集上alexandroff拓扑的推广，一个l - fuzzy拟序集( x ， e )上的广义alexandroff拓扑可以由其上一族alexandroff拓扑取并得到，任意一个拓扑空间的拓扑都可以表示为某个l - fuzzy拟序集上的广义alexandroff拓扑，以及l - fuzzy拟序集上的广义alexandroff拓扑是j . j . m . m . rutten等定义的广义超度量空间上广义alexandroff拓扑的推广。 ( 2 )通过引入l - fuzzy偏序集上的l - fuzzy集关于l - fuzzy偏序的并以及l - fuzzy拟序集上(关于l - fuzzy拟序)的l - fuzzy定向集等概念，定义了l - fuzzy定向完备的l - fuzzy偏序集(简称l - fuzzydcpo ，又叫l - fuzzydomain )和l - fuzzyscott连续映射，证明了它们分别是通常的dcpo和scott连续映射的推广，当l是带有逆序对合对应的完全分配格时，以l - fuzzydomain为对象， l - fuzzyscott连续映射为态射的范畴l - fdom同构于一类特殊的v - domain范畴，即以定向完备的l -值拟超度量空间为对象， scott连续映射为态射的范畴l - dcqum ，以及当l是1为分子的完全分配格时， l - fuzzydomain和l - fuzzyscott连续映射一致于k . wagner在[ 59 ]中定义的定向liminf完备的-范畴和liminf连续映射。 | | 6. | The concept of basic implication algebra and implication algebra on a partial ordered set are obtained by studying the conditions which the implicative operator in a logic system should be satisfied . then the basic properties with different conditions and the characterizes of implication algebra are given . the iff conditions of a ( basic ) implication algebra to be regular are discussed
基于对逻辑系统中蕴涵算子应满足条件的分析，引进了偏序集上基础蕴涵代数和偏序集上蕴涵代数的概念，得到了其在不同条件下的基本性质，给出了(基础)蕴涵代数的特征刻画，以及偏序集上(基础)蕴涵代数成为正则的充分必要条件。 |
- Similar Words：
- "partial order relation" English translation, "partial order scale" English translation, "partial ordered set" English translation, "partial ordering" English translation, "partial ordering relation" English translation, "partial ording" English translation, "partial ossicular replacement allograft" English translation, "partial ossicular replacement prosthesis" English translation, "partial ossicular replacementprosthesis" English translation, "partial ostectomy" English translation
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