| 1. | Qusi - t - norms and implication operators direct products and direct product decompositions
模及蕴涵算子的直积和直积分解 |
| 2. | In this paper , firstly by the use of the relations between fuzzy points and fuzzy sets and implication operators of fuzzy logic , definitions of ( , a ) - fuzzy topology and r - fuzzy topology are given
首先通过使用模糊点、模糊集和模糊逻辑蕴涵三者之间的关系，我们给出了( ( ? ) , ( ? ) ) -模糊拓扑和r -模糊拓扑的概念。 |
| 3. | It points out that the implication operator i ( x , y ) defined by strict t - norms is not continuous at ( 0 , 0 ) and discusses under what conditions a t - norm induced by an implication operator is archimedean
指出了由严格的仁范定义的蕴涵算子方（叨在叮0 ）处不连续；并给出了什么样的蕴涵算子定义的t范是阿基米德的 |
| 4. | Left - continuous t - norm was connected with implication operator and logic system could be built by implication operator . the aim of this paper is to give new logic systems by constructing implication operators which are different from rq operator
由于左连续t -模与蕴涵算子的关系十分密切，因此构造新的左连续t -模就成为得到新的蕴涵算子的有效途径。 |
| 5. | It was well known that rq t - norm which rq implication operator residuated to was left - continuous . in fact , any left - continuous t - norm has its own residuum - implication operator . and many - valued system could be obtained from implication operator
事实上，任一左连续t -模都可确定一个与之伴随的蕴涵算子，并且，不同的蕴涵算子就可以构建不同的多值逻辑系统。 |
| 6. | Again in 1999 , based on rq implication operator prof . wang proposed triple - i method of fuzzy reasoning , which is more reasonable than the cri method that was proposed by zadeh and now is widely applied in control field
1999年又基于只。蕴涵算子提出了模糊推理的全蕴涵三i算法，这是比zadeh提出的如今在控制领域中广泛应用的cri方法更为合理，逻辑基础更强的推理算法。 |
| 7. | In the last , the problem of the perturbation of fuzzy reasoning is discussed in detail , and the maximum perturbation parameters for various methods of fuzzy reasoning is estimated according to the choice of conjunctive operator and implication operator
根据椎理规则中合取算子与蕴涵算子的不同选取方式，对各种模糊推理方法的最大摄动参数进行了评估，为实际应用中选择恰当的模糊推理方法提供了一个准则 |
| 8. | In the first part , as preparatory knowledge , this paper gives a general form of triple - i method of fuzzy reasoning , which is based on the residua - type implication operator . it provides a foundation for the later study of non - fuzzy form of fuzzy reasoning
本文的主要内容如下：第一部分：作为预备知识，给出了基于剩余型蕴涵算子的模糊推理的全蕴涵三imp算法和三imt算法的一般形式，为后面研究模糊推理的非模糊形式提供了依据 |
| 9. | In 1997 , based on rq implication operator professor wang guojun proposed revised kleene system . again in 1998 , professor wang proposed the concept of generalized tautology and discussed the classes of generalized tautologies deeply in revised kleene system
1997年，王国俊教授基于蕴涵算子r _ 0提出了修正的kleene系统，又于1998年引入了广义重言式的概念，对修正的kleene系统中的广义重言式类进行了深刻而细致的讨论，建立了广义重言式理论，为模糊逻辑提出了新的研究方向。 |
| 10. | So the theory of generalized tautologies was built , which gave a new direction in fuzzy logic research . an implication operator is residuated to a special left - continuous t - norm , and r0 algebra proposed by professor wang can be seen as the algebra which is built by the special left - continuous t - norm and implication operator
此后，王国俊教授以( ? ) ? lindenbaum代数为背景建立了r _ 0代数理论。 r _ 0代数可以看作是基于一种特别的左连续t -模及其所对应的蕴涵算子而建立的。 |
