模糊集的数学基础 Mathematical Foundation Of Fuzzy Sets

基本信息

Format:Hardback 416 pages

Publisher:John Wiley & Sons Inc

Imprint:John Wiley & Sons Inc

ISBN:9781119981527

Published:16 Feb 2023

Weight:851g

Dimensions:256 x 174 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

通过这本易于使用的指南了解模糊逻辑的基础

许多研究领域都是由不精确的信息或高度不确定性定义的。当这种不确定性源于随机性时，传统的概率统计方法足以解决它；然而，更日常的模糊性和不精确性需要与“模糊集”和“模糊逻辑”相关的工具包。与人工智能、运筹学和决策理论相关的工程和数学领域现在受到模糊集理论的强烈推动。

《模糊集的数学基础》向读者介绍了将模糊逻辑应用于工程和数学问题所需的理论背景和实践技术。它介绍了模糊集的数学基础以及模糊集运算和算术的当前前沿，为这一应用数学的重要领域提供了齐全的介绍。结果既可以用作教科书，也可以作为研究人员和专业人士的宝贵参考。

《模糊集的数学基础》为读者提供：

详细介绍集合运算、清晰运算的模糊化等

逻辑结构，每章都精心构建在先前的结果之上

直观的结构，分为“基础”和“高级”部分，方便在一到两个学期的课程中使用

《模糊集的数学基础》对于工程和应用数学的研究生和学者来说是不可少的，尤其是那些从事人工智能、决策理论、运筹学和相关领域的工作的人。

Introduce yourself to the foundations of fuzzy logic with this easy-to-use guide

Many fields studied are defined by imprecise information or high degrees of uncertainty. When this uncertainty derives from randomness, traditional probabilistic statistical methods are adequate to address it; more everyday forms of vagueness and imprecision, however, require the toolkit associated with 'fuzzy sets' and 'fuzzy logic'. Engineering and mathematical fields related to artificial intelligence, operations research and decision theory are now strongly driven by fuzzy set theory.

Mathematical Foundations of Fuzzy Sets introduces readers to the theoretical background and practical techniques required to apply fuzzy logic to engineering and mathematical problems. It introduces the mathematical foundations of fuzzy sets as well as the current cutting edge of fuzzy-set operations and arithmetic, offering a rounded introduction to this essential field of applied mathematics. The result can be used either as a textbook or as an invaluable reference for working researchers and professionals.

Mathematical Foundations of Fuzzy Sets offers thereader:

Detailed coverage of set operations, fuzzification of crisp operations, and more

Logical structure in which each chapter builds carefully on previous results

Intuitive structure, divided into 'basic' and 'advanced' sections, to facilitate use in one- or two-semester courses

Mathematical Foundations of Fuzzy Sets is essential for graduate students and academics in engineering and applied mathematics, particularly those doing work in artificial intelligence, decision theory, operations research, and related fields.

作者简介

吴宪忠，博士，台湾高雄师范大学数学系教授。他是《模糊优化与决策》的副主编，也是《国际不确定性、模糊性和知识系统期刊》的区域编辑。他在这些研究领域发表了大量文章，是国际期刊上发表的 120 多篇科学论文的作者。

Hsien-Chung Wu. PhD, is Professor in the Department of Mathematics at National Kaohsiung Normal University, Taiwan. He is an Associate Editor of Fuzzy Optimization and Decision Making, and an Area Editor of International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. He has published extensively in these areas of research and is the sole author of more than 120 scientific papers published in international journals.