[航空航天]模糊推理论文：关于模糊推理中几类蕴涵算子的研究

[航空航天]模糊推理论文：关于模糊推理中几类蕴涵算子的研究 模糊推理论文:关于模糊推理中几类蕴涵算子的研究 【中文摘要】模糊推理是模糊数学应用研究的一个重要分支。模糊推理结果与选用的蕴涵算子密切相关,蕴涵算子不同,所得结论常常不同。人们针对实际问题提出了多种形式的蕴涵算子。因此,蕴涵算子理论研究具有重要的理论意义和实用价值。本文研究几类蕴涵算子的特性及构造方法,讨论它们在模糊推理中的一些应用,主要做了如下三方面的工作:1、关于模糊异或算子的研究和三种新的蕴涵算子的构造。为解决各种复杂的模糊推理问题,需要定义新的蕴涵算子。本文在相关文献研究工作的基础上进一步研究模糊异或算子的性质,将模糊异或算子与t模、t余模、非算子相结合构造了三类蕴涵算子,讨论了自同构在这些蕴涵算子上的作用,以RE,N,T蕴涵为例构造出一些新的蕴涵算子,研究了它们的性质。2、关于模糊同或算子的研究和两种新的蕴涵算子的构造。本文将经典同或算子进行推广,提出了模糊同或算子的概念,研究了它的基本性质,将它与t模、t余模、非算子结合,生成了两种新的蕴涵算子,讨论了自同构在这些蕴涵算子上的作用。3、基于S蕴涵算子的区间值模糊三?推理算法研究。S蕴涵算子是模糊推理中运用广泛的一种蕴涵算子。三?推理是针对FMP与FMT模型的模糊推理方法。本论文从研究S蕴涵的性质出发,借助区间值三?推理的-三I FMP原则和-三I FMT原则,给出了S蕴涵算子下区间值模糊推理的-三IFMP算法和-三IFMT算法,同时讨论了算法的 【英文摘要】Fuzzy reasoning is one of the most important branches of fuzzy mathematics. Fuzzy reasonings and fuzzy implication operators are closely related. Different implication operators will lead to different conclusions. Various fuzzy implication operators were proposed based on practical problems in the literature. The researches of implication operators are of significance in both respects of theory and application. This paper is devoted to the study of fuzzy implication operators and their applications in fuzzy reasoning. The paper mainly contains following three parts:1. The study of fuzzy Xor connectives and fuzzy Xor connective based implication operators.In order to investigate fuzzy reasoning deeply, it is necessary to constructive new implication operators. Some properties of fuzzy Xor connective are derived. Three kinds of implication operators are obtained by the composition of fuzzy Xor, t-norm, t-conorm and fuzzy negation. The relationships between the three implication operators and automorphisms are discussed. Some examples of RE,N,T are given.2. The study of fuzzy XNOR connectives and fuzzy XNOR connective based implication operators.The notion of fuzzy XNOR connective is presented, which is a generalization of the classical XNOR connective and preserves the main properties of the classical XNOR connective. Two kinds of implication operators based on the composition of fuzzy XNOR, t-norm, t-conorm and fuzzy negation are provided. Their relationships with automorphisms are analyzed.3. Triple? method of interval-valued fuzzy reasoning based on S-implication.S-implications are used extensively in fuzzy logic. Triple?method is a new kind of fuzzy reasoning with respect to FMP and FMT. In this part, some properties of S-implications are derived. The [α,β]-triple?FMP principle and [α,β]-triple?FMT principle are given. The reasoning methods with reapect to [α,β]-triple?FMP and [α,β]-triple ?FMT are presented. Additionally, the reversibility properties of triple?methods are also discussed. 【关键词】模糊推理 三I算法 模糊同或算子 模糊异或算子 模 糊蕴涵算子 自同构 S-蕴涵算子 【英文关键词】Fuzzy reasoning Triple I method Fuzzy Xor connective Fuzzy XNOR connective Fuzzy implication operator Automorphism S-implication 【目录】关于模糊推理中几类蕴涵算子的研究 摘要 6-7 Abstract 7 第一章 绪论 9-18 1.1 模糊逻 辑联结词 9-12 1.2 模糊蕴涵算子 12-14 1.3 模糊推理 方法 14-16 1.4 本文的研究工作简介 16-18 第二章 基 于模糊异或算子的三种蕴涵 18-25 2.1 模糊异或算子及其性质 18-20 2.2 利用模糊异或算子构造新的蕴涵算子 20-25 第三章 基于模糊同或算子的两种蕴涵 25-32 3.1 模糊同或算子及其性质 25-29 3.2 R_(EN,T) 蕴涵与R_(S,EN)蕴涵算子 29-32 第四章 基于S蕴涵的三?推理 32-44 4.1 区间值及区间值上的运算 32-33 4.2 S蕴涵算子 33-34 4.3 基于S蕴涵的三?推理算法 34-40 4.4 基于S蕴涵的区间值模糊推理三?算法 40-44 结论与展望 44-45 致谢 45-46 参考文献 46-50 攻读硕士学位期间发 表 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf 的论文及科研成果 50