提出了直觉模糊域和直觉模糊代数的概念。
The concepts of intuitionistic fuzzy fields and intuitionistic fuzzy algebras are put forword.
本文在对同态与模糊代数不加任何限制的情况下，证明了模糊代数的同态象仍是模糊代数。
In this paper we have proved, without any restriction, that homomorphic Images of fuzzy algebras form are fuzzy algebras.
作者曾给出了模糊代数系的统一定义和一个代数系上的模糊子集是模糊子代数的充要条件。
In this paper, the definition of the fuzzy ideal of algebraic systems and the sufficient and essential condition that a fuzzy algebraic system is fuzzy ideal are given.
这种特征可以综合运用神经网络、模糊数学等现代数学方法加以满意地描述，并在此基础上成功地开发了优化配煤专家系统。
This feature can be finely described by the way of neural network and fuzzy mathematics etc. in an effort to develop the computer based expert system for coal blend successfully.
首先以蕴涵算子为基础从有限扰动模糊命题逻辑出发，讨论其逻辑代数及广义重言式的性质。
Firstly, on the basis of implication, originating from the limited Disturbing Fuzzy Propositional logic, discusses its logic algebra and the properties of its generalized tautology.
模糊逻辑与量子逻辑以及它们相应的代数系统是目前非经典逻辑体系中非常活跃的研究分支。
Now, studies about fuzzy logic, quantum logic and the corresponding algebra systems are very active in non-classical logic.
定义了模糊粗糙集合理的补运算，从而利用公理化方法构造出推广了的粗糙集代数。
With the definition about reasonable complement operation of the fuzzy rough set, a expanded rough set algebra is constructed by using the method of formula.
此外，还开发了用以形成模糊专家系统框架核心的推理机制，并通过线性模糊矩阵代数运算予以实现。
Moreover, a fuzzy inference mechanism was developed to form the core of fuzzy expert system frame, which could be realized through linear fuzzy matrix algebra.
详细介绍了其模糊知识表示、模糊关系代数及不精确推理的实现策略。
Its fuzzy knowledge representation, fuzzy relational algebra and the inaccurate reasoning implementation policies are described in detail.
在此基础上定义了模糊粗糙集代数，并讨论了模糊粗糙集代数的简单性质。
Based on this, the fuzzy rough set algebra is defined, and some simple properties of the fuzzy rough set algebra are discussed.
运用现代数学中的综合分析法，可以得出模糊相似性测度数据关联算法。
We can get fussy similarity data correlation by using general analysis in modern mathematics.
利用代数思想及方法证明直觉模糊群的诱导商集也是直觉模糊群。
By using algebraic methods, it was proved that the induced quotient set determined by an intuitionistic fussy group was still an intuitionistic fussy group.
引入BCI-代数的直觉模糊滤子的概念，刻划一些重要的结论。
Moreover, by giving an example we prove that an intuitionistic fuzzy ideal in BCI-algebras may not be an intuitionistic fuzzy filter.
提出了一种新的基于代数的模糊Petri网逆向推理算法。
This paper proposes a new backward reasoning algorithm based on algebra.
提出了一种新的基于代数的模糊Petri网逆向推理算法。
This paper proposes a new backward reasoning algorithm based on algebra.
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