查询词典 fuzzy

We have introduced in [1] the concept of the normal fuzzy set structure which is a characterization and generalization of fuzzy set theory and we have proved that any one normal fuzzy set structure is a Boolean-valued model of the axiomatic set theory ZFa wit...

本文是对文献[1]的一种阐明，详细地阐明了正规弗晰集合结构与弗晰集合论中的一些基本概念之间的联系与转换，同时引进了正规弗晰集合结构的序数、基数等基本概念。

The fuzzy entropy based on equivalent relation is extended to generalize the fuzzy entropy based on general binary relation, and the calculating formula and the equivalent expression of the generalized fuzzy entropy are also given.

并将基于等价关系的粗糙集的模糊熵拓展到基于一般二元关系下粗糙集的广义模糊熵，给出了广义模糊熵的计算公式及等效表示形式。

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。

For the fuzzy group decision making problem, in which the preference patterns of both individual and group are fuzzy, the fuzzy Borda number rule is provided.

对于决策个体和决策群体的偏爱均为模糊结构的群体决策问题，建立了模糊 Borda数规则，并研究了它的性质和满足模糊偏爱公理系的情况。

We get the two edge blocking convergencetheorem of sequence of fuzzy numbers and the almost everywhere cut-convergence theorem ofmonotone bounded sequence of fuzzy numbers, and point out that monotone bounded sequenceof fuzzy numbers may not cut-converges and converges.

讨论了模糊数列的收敛、截收敛、几乎处处截收敛性，得到了模糊数列收敛的夹逼定理及单调序有界模糊数列必几乎处处截收敛定理，并指出了单调序有界模糊数列未必截收敛、收敛。

It is pointed out that the category of L-fuzzy topological vector spaces is isomorphic to the full subcategory of the category of I -fuzzy topological vector spaces, whose elements are induced I -fuzzy topological spaces.

指出了格值模糊拓扑线性空间范畴同构于I型fuzzy线性拓扑空间范畴中诱导空间构成的满子范畴。

The membership function can exactly express the fuzzy satisfaction set by considering the vagueness of satisfaction degree of objectives and introducing the membership function for the fuzzy satisfaction sets of system reliability and system cost. The normal distribution and Cauchy distribution of this membership function is modified according to the fuzzy satisfaction sets. By doing this, the multi-objective optimization problem can be converted to a single-objective optimization problem to be solved.

模型充分考虑到目标满意度的模糊性，通过引入系统可靠度与费用的模糊满意集的隶属函数，并根据它们的模糊满意集对其正态分布、柯西分布进行适当修改，使之能够准确表达通常情况下的这两个目标的模糊满意集，最终，把两目标优化问题转化为常规单目标优化问题求解。

Fuzzy set, Vague set and C(superscript *)-fuzzy set are extension of classical set theory. They are also results of fuzzy set theory development.

模糊集、Vague集和C-模糊集都是对经典集合论的扩展，同时又是模糊集合论分支的发展成果。

Using the equivalent condition under which the limit of a sequence of fuzzy numbers exists in the sense of level convergence, we analyze the structure of the level continuous fuzzy number valued function. On the basis of it, we prove the level continuous fuzzy number valued function on a closed interval exists supremum and infimum and give the precise representation.

利用模糊数序列水平收敛意义下极限存在的充要条件，在分析了水平连续函数结构特点的基础上，证明了闭区间上水平连续的模糊数值函数存在上、下确界，并给出了上、下确界的具体表达式。

Considering about fuzzy relation between fault causeand symptom, commix fuzzy diagnosis module was set up by means of fuzzy synthesize judge.

本系统模仿了专家在诊断过程中正反向混合推理的思维特点，提高了诊断复杂故障的效率。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。