区间值模糊推理的三Ⅰ算法

发布时间：2018-04-23 12:16

本文选题：模糊推理 + 三　；参考：《陕西师范大学》2001年硕士论文

【摘要】：模糊控制技术作为现代工业与新产品开发的高新技术之一，受到了国内外普遍重视，而且在应用领域已取得了成功，但其逻辑基础仍很薄弱．关于模糊控制的理论基础─模糊推理，王国俊教授提出一种新的推理算法─三 I算法，这是比Zadeh提出的如今在控制领域广泛应用的CRI算法更为合理的推理算法．用闭区间表示不确定的数据和用模糊集表示不确定的数据有类似的功效，把闭区间与模糊集相结合而提出的区间值模糊集在表示不确定数据时有更好的效果．把模糊推理应用于区间值模糊集的区间值模糊推理的已有算法都是基于 Zadeh的 CRI算法的三角模合成思想．本文的目的是①把新的推理算法三I算法用于区间值模糊推理，从而把一般的模糊推理纳入于区间值模糊推理的系统之内；②对于一种特殊的多重区间值模糊推理，给出其Fire算法，可望用于解决一类空间数据分析问题；③ 讨论赋值为R_O－模糊集的逻辑系统(?)的语义理论，特别是其中广义重言式的分类．本文主要内容如下：第一部分作为预备基础，利用伴随的性质给出了一类蕴涵算子的模糊推理的三I算法公式．第二部分把三I算法用于区间值模糊推理．首先在区间值模糊集之间定义了Ⅱ和→运算，然后给出了a一IFMP，a一IFMT及多重区间值模糊推理的三I算法公式，并且指出一般的模糊推理是在区间退化为点时的特殊区间值模糊推理．第三部分基于文［3］中提出的一类基于实际问题的特殊区间值模糊推 — —1 一理，证明了关于p一良好状态的单调性定理，下确界定理及存在性定理，并且基于三 lIn7WP公式给出了这种特殊区间值模糊推理的 Fre解法，，从而给出了一般多重区间值模糊推理的Fire解法．第四部分详细讨论了赋值为R。一模糊集的逻辑系统砰的语义理论，特别是关于俐而言，F3）中的a一重言式类只有IQ一重言式类与重言式类两类．
[Abstract]:Fuzzy control technology is one of the high and new technologies in modern industry and new product development. At home and abroad universal attention, and in the field of application has been successful, but its logical foundation is still very thin Weak. On the theoretical basis of fuzzy control, fuzzy reasoning, Professor Wang Guojun proposed a new kind of reasoning. The algorithm, the three I algorithm, is more widely used in the field of control than the CRI algorithm proposed by Zadeh. A more reasonable reasoning algorithm. It has similar work to express uncertain data in closed interval and uncertain data in fuzzy set. The interval-valued fuzzy set, which combines closed interval with fuzzy set, has Better results. Existing algorithms for interval valued Fuzzy reasoning in interval valued Fuzzy sets All are based on Zadeh CRI algorithm triangular modular synthesis idea. The purpose of this paper is to apply a new reasoning algorithm, three I algorithm, to interval valued fuzzy reasoning. General fuzzy reasoning is included in the system of interval valued fuzzy reasoning The interval valued fuzzy reasoning and its Fire algorithm are given, which are expected to be used to solve a class of spatial data analysis problems. A logical system with a value of R _ S _ O _ fuzzy set is discussed. Semantic theory, especially the generalized tautology The classification of The main contents of this paper are as follows: In the first part, as the preparatory basis, the fuzzy inference of a class of implication operators is given by using the properties of adjoint. The formula of triple-I algorithm. In the second part, the three I algorithm is applied to interval valued fuzzy reasoning. First of all, between interval valued fuzzy sets In this paper, we give a -IFMPA IFMT and multi-multiple interval valued fuzzy reasoning. And it is pointed out that the general fuzzy reasoning is a special interval when the interval degenerates to a point Value fuzzy reasoning. The third part is based on a special interval-valued fuzzy inference based on practical problems proposed in [3]. -1 I In this paper, we prove the monotonicity theorem about p-good state, the lower definite theorem and the existence theorem, and Based on the three lIn7WP formula, the Fre solution of this special interval valued fuzzy reasoning is given. Fire method for general multiplex interval valued fuzzy reasoning. In the fourth part, it is discussed in detail that the assignment value is R. The semantic Theory of a Fuzzy set of Logic Systems There is only IQ-tautology and tautology. Two categories.
【学位授予单位】：陕西师范大学
【学位级别】：硕士
【学位授予年份】：2001
【分类号】：B815.6;O159;O231

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