Intuitionistic Fuzziness and Other Intelligent Theories and Their Applications

这是关于计算智能的电子书，高清，最新版本，经典著作，英文版
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Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set
20190402Provides detailed mathematical exposition of the fundamentals of fuzzy set theory, including intuitionistic fuzzy sets This book examines fuzzy and intuitionistic fuzzy mathematics and unifies the latest existing works in literature. It enables readers to fully understand the mathematics of both fuzzy set and intuitionistic fuzzy set so that they can use either one in their applications. Each chapter of Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set begins with an introduction, theory, and several examples to guide readers along. The first one starts by laying the groundwork of fuzzy/intuitionistic fuzzy sets, fuzzy hedges, and fuzzy relations. The next covers fuzzy numbers and explains Zadeh’s extension principle. Then comes chapters looking at fuzzy operators; fuzzy similarity measures and measures of fuzziness; and fuzzy/intuitionistic fuzzy measures and fuzzy integrals. The book also: discusses the definition and properties of fuzzy measures; examines matrices and determinants of a fuzzy matrix; and teaches about fuzzy linear equations. Readers will also learn about fuzzy subgroups. The second to last chapter examines the application of fuzzy and intuitionistic fuzzy mathematics in image enhancement, segmentation, and retrieval. Finally, the book concludes with coverage the extension of fuzzy sets. This book: Covers both fuzzy and intuitionistic fuzzy sets and includes examples and practical applications Discusses intuitionistic fuzzy integrals and recent aggregation operators using Choquet integral, with examples Includes a chapter on applications in image processing using fuzzy and intuitionistic fuzzy sets Explains fuzzy matrix operations and features examples Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set is an ideal text for graduate and research students, as well as professionals, in image processing, decisionmaking, pattern recognition, and control system design. 提供模糊集理论基本原理的详细数学阐述，包括直觉模糊集 本书考察了模糊和直觉模糊数学，并统一了文献中最新的现有作品。它使读者能够完全理解模糊集和直觉模糊集的数学，以便他们可以在他们的应用程序中使用任何一个。 模糊集及其扩展的每一章：直觉模糊集从一个引言，理论和几个例子开始，引导读者。第一个是从模糊/直觉模糊集，模糊对冲和模糊关系奠定基础。接下来介绍模糊数字并解释Zadeh的扩展原理。然后是章节看模糊算子;模糊相似度量和模糊度量;模糊/直觉模糊测度和模糊积分。本书还讨论了模糊测度的定义和性质;检查模糊矩阵的矩阵和行列式;并教导模糊线性方程。读者还将了解模糊子群。倒数第二章考察了模糊和直觉模糊数学在图像增强，分割和检索中的应用。最后，本书总结了模糊集的扩展。这本书： 涵盖模糊和直觉模糊集，包括示例和实际应用 讨论了使用Choquet积分的直觉模糊积分和最近的聚合算子，并举例说明 包括使用模糊和直觉模糊集在图像处理中应用的章节 解释模糊矩阵运算和特征示例 模糊集及其扩展：直觉模糊集是研究生和研究生以及专业人员在图像处理，决策，模式识别和控制系统设计中的理想文本。
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The Proof Theory and Semantics of Intuitionistic Modal Logic
20100610Possible world semantics underlies many of the applications of modal logic in computer science and philosophy. The standard theory arises from interpreting the semantic denitions in the ordinary metatheory of informal classical mathematics. If, however, the same semantic denitions are interpreted in an intuitionistic metatheory then the induced modal logics no longer satisfy certain intuitionistically invalid principles. This thesis investigates the intuitionistic modal logics that arise in this way. Natural deduction systems for various intuitionistic modal logics are presented. From one point of view, these systems are selfjustifying in that a possible world interpretation of the modalities can be read o directly from the inference rules. A technical justication is given by the faithfulness of translations into intuitionistic rstorder logic. It is also established that, in many cases, the natural deduction systems induce wellknown intuitionisticmodal logics, previously given by Hilbertstyle axiomatizations. The main benet of the natural deduction systems over axiomatizations is their susceptibility to prooftheoretic techniques. Strong normalization (and con uence) results are proved for all of the systems. Normalization is then used to establish the completeness of cutfree sequent calculi for all of the systems, and decidability for some of the systems. Lastly, techniques developed throughout the thesis are used to establish that those intuitionistic modal logics proved decidable also satisfy the nite model property. For the logics considered, decidability and the nite model property presented open problems
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Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making
20200117Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making，卫贵武，，With respect to multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values
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Some geometric aggregating operator and their application to dynamic multiple attribute decision making in intuitionistic fuzzy setting
20200205Some geometric aggregating operator and their application to dynamic multiple attribute decision making in intuitionistic fuzzy setting，卫贵武，，The dynamic multiattribute decision making problems with intuitionistic fuzzy information are investigated. The notions of intuitionistic fuzzy variable and uncertain intuitionist
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Interval belief functions on intuitionistic fuzzy events and their Choquet integral representations
20200224直觉模糊事件上的区间belief函数及其Choquet积分表示，周红军，，在有限论域上的直觉模糊事件中引入了区间belief函数的概念。由于直觉模糊事件关系是由?ukasiewicz逻辑连接词表示的，所以该belief函数是�
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On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations
20210220Topologies and rough set theory are widely used in the research field of machine learning and cybernetics. An intuitionistic fuzzy rough set, which is the result of approximation of an intuitionistic fuzzy set with respect to an intuitionistic fuzzy approximation space, is an extension of fuzzy rough sets. For further studying the theories and applications of intuitionistic fuzzy rough sets, in this paper, we investigate the topological structures of intuitionistic fuzzy rough sets. We show that
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[Dirk van Dalen] Logic and structure [2008最新版]
20091117From the reviews：“A good textbook can improve a lecture course enormously， especially when the material of the lecture includes many technical details。 Van Dalen's book， the success and popularity of which may be suspected from this steady interest in it，contains a thorough introduction to elementary classical logic in a relaxed way， suitable for mathematics students who just want to get to know logic。The presentation always points out the connections of logic to other parts of mathematics。The reader immediately see the logic is ”just another branch of mathematics and not something more sacred。” 作者简介： DIRK VAN DALEN，studied at the University of Amsterdam，where he obtained his PhD。He has taught since 1960 at Utrecht University，where he is full professor。He also taught at MIT and Oxford．His technical work is mostly in the area of intuitionistic mathematics and logic。He uses to call attention to the benefits and challenges of constructive methods。His current project is a biography of L.E.I。Brouwet and the editing of Brouwer’s corre—spondence。
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Philosophical and Mathematical Logic (Springer原版超清)
20190209Philosophical and Mathematical Logic (Springer Undergraduate Texts in Philosophy) By 作者: Harrie de Swart ISBN10 书号: 3030032531 ISBN13 书号: 9783030032531 Edition 版本: 1st ed. 2018 Release Finelybook 出版日期: 20181128 pages 页数: (539 ) $49.99 This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read nontechnical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege’s Begriffsschrift, together with the works of George Boole (18151864) and August De Morgan (18061871), the origin of modern logic. Since “if …, then …” can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises.
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Set Theory and Algebra in Computer Science
20181019Set theory is not really the only rigorous mathematical language. The languages of set theory and of mathematical logic were developed together, so that, as a mathematical discipline, set theory is a branch of mathematical logic. Technically, as we shall see shortly, we can view the language of set theory as a special sublanguage of firstorder logic. Furthermore, other theories such as category theory and intuitionistic type theory have been proposed as alternatives to set theory to express all of mathematics.
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论文研究粗糙supportintuitionistic模糊集及其聚类分析应用.pdf
20190913粗糙集和模糊集理论已经被用于各种类型的不确定性建模中。Dubois和Prade研究了将模糊集和粗糙集结合的问题。提出了粗糙supportintuitionistic模糊集。介绍了粗糙集、粗糙直觉模糊集和supportintuitionistic模糊集等的概念；定义了在Pawlak近似空间中的supportintuitionistic模糊集的上下近似，讨论了一些粗糙supportintuitionistic模糊集近似算子的性质，给出了其相似度表达式；将其应用到聚类分析问题中，并通过一个实例验证其合理性。
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Intuitionistic Type Theory (Per Martin Lof 1984)
20101201好不容找到Per Martin Lof在1984年的讲稿，学习DTT的基本文献
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Intuitionistic Type Theory
20170308Intuitionistic Type Theory
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Similarity measures between intuitionistic fuzzy(vague)sets
20111022直觉模糊测度的文章，很有价值。是其他直觉模糊理论的基础，看懂了对于学习直觉模糊集就太简单了
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The relationship between similarity measure and entropy of intuitionistic fuzzy sets
20210211In this paper, we introduce an axiomatic definition of the similarity measure of intuitionistic<br> fuzzy sets (IFS) that differs from the definition of Li [15]. The relationship between the<br> similarity measure and the entropy of IFS is investigated in detail. Six theorems on how the<br> similarity measure could be transformed into the entropy for IFS and vice versa are proposed<br> based on their axiomatic definitions. Some formulas have been proposed to calculate<br> the similarit
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Ranking for Objects and Attribute Reductions in Intuitionistic Fuzzy Ordered Information Systems
20210221Ranking for Objects and Attribute Reductions in Intuitionistic Fuzzy Ordered Information Systems
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Parameterized bilinear programming models and solving method for bimatrix games with payoffs represented by triangular intuitionistic fuzzy numbers
20200224支付为三角直觉模糊数的参数化线性规划双矩阵模型及求解方法，杨洁，李登峰，针对支付为三角直觉模糊（简称
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A Method for Intervalvalued Intuitionistic Fuzzy Multiple Attribute Decision Making with Incomplete Weight Information
20200201A Method for Intervalvalued Intuitionistic Fuzzy Multiple Attribute Decision Making with Incomplete Weight Information，卫贵武，，With respect to multiple attribute decision making problems with intervalvalued intuitionistic fuzzy information, some operational laws of intervalvalued intuitionistic fuzzy num
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Belief functions on general intuitionistic fuzzy information systems
20210209This paper studies probability problems of intuitionistic fuzzy sets and the belief structure of general intuitionistic fuzzy information systems. First, for some special intuitionistic fuzzy sets, a probability is defined by using the integral operations on the level sets, and its properties are discussed. Then using this probability, a mass function of an intuitionistic fuzzy information system is constructed. A novel pair of belief and plausibility functions are defined by employing the (I, T
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Using the method of maximizing deviations to multiple attribute decision making under intervalvalued intuitionistic fuzzy environment
20200218Using the method of maximizing deviations to multiple attribute decision making under intervalvalued intuitionistic fuzzy environment，卫贵武，，With respect to multiple attribute decision making problems with intervalvalued intuitionistic fuzzy information, some operational laws of intervalvalued intuitionistic fuzzy num

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