A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics: Theory and Applications
de Barros, Laécio Carvalho, Bassanezi, Rodney Carlos, Lodwick, Weldon A.
- 出版商: Springer
- 出版日期: 2024-03-21
- 售價: $4,120
- 貴賓價: 9.5 折 $3,914
- 語言: 英文
- 頁數: 315
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031504917
- ISBN-13: 9783031504914
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商品描述
This book provides an essential introduction to the field of dynamical models. Starting from classical theories such as set theory and probability, it allows readers to draw near to the fuzzy case. On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems. On the other, it presents some concepts of derivatives, integrals and differential equations applied to the context of fuzzy functions. Each of the major topics is accompanied by examples, worked-out exercises, and exercises to be completed. Moreover, many applications to real problems are presented, mainly in biomathematics where the so-called p-fuzzy systems play an important role. The book has been developed on the basis of the authors' lectures to university students and is accordingly primarily intended as a textbook for both upper-level undergraduates and graduates in applied mathematics, statistics, and engineering. It also offers a valuable resource for practitioners such as mathematical consultants and modelers, and for researchers alike, as it may provide both groups with new ideas and inspirations for projects in the fields of fuzzy logic and biomathematics. This thoroughly updated second edition includes a new chapter on fuzzy optimization, which also presents an application in carbon markets analysis and modeling
商品描述(中文翻譯)
本書提供了對動態模型領域的基本介紹。從集合論和概率論等經典理論出發，讓讀者逐漸接近模糊情況。一方面，本書使讀者對模糊集合和模糊動態系統的理論基礎有了基本的理解。另一方面，它介紹了應用於模糊函數背景下的導數、積分和微分方程的一些概念。每個主要主題都附有例子、解題練習和待完成的練習題。此外，還介紹了許多應用於實際問題的案例，主要是在生物數學中，所謂的p-模糊系統起著重要作用。本書是根據作者對大學生進行的講座而編寫的，因此主要是為應用數學、統計學和工程學的高年級本科生和研究生而編寫的教科書。對於數學顧問、模型師以及研究人員等從業人員來說，本書也是一個寶貴的資源，因為它可以為這兩個群體提供模糊邏輯和生物數學領域的新思路和靈感。這本全面更新的第二版還增加了一章關於模糊優化，同時還介紹了在碳市場分析和建模中的應用。
作者簡介
Rodney Carlos Bassanezi is a Professor emeritus of Applied Mathematics at the Institute of Mathematics, Statistics and Computational Sciences at the University of Campinas starting his university teaching career there in 1969. He received a Ph.D. degree in mathematics from the University of Campinas in 1977. He held postdoctoral and research positions at the Libera Universitad di Trento, Italy 1981, 1985, 1990 and 1993. His research activities cover mathematical analysis (minimal surfaces), biomathematics, and fuzzy dynamical systems. He has published some books in Portuguese, notably one textbook on differential equations (1988), one textbook on mathematical modeling (2002), as well as an introduction to calculus and applications (2015). He has been the president of the Sociedade Latino-Americano de Biomatemática (1999-2001) and the coordinator of the graduate program in mathematics at the Federal University ABC in São Paulo. He has directed 57 Masters and 28 Ph.D. theses and his students have been teaching throughout Latin America.
Weldon Alexander Lodwick is a Professor of Mathematics at the University of Colorado Denver. He holds a Ph.D. degree in mathematics (1980) from Oregon State University, He is the co-editor of the book Fuzzy Optimization: Recent Developments and Applications, Studies in Fuzziness and Soft Computing Vol. 254, Springer-Verlag Berlin Heidelberg, 2010, and the author of the monograph Interval and Fuzzy Analysis: A Unified Approach in Advances in Imaging and Electronic Physics, Vol. 148, pp. 76-192, Elsevier, 2007. His current research interests include interval analysis, distance geometry, as well as flexible and generalized uncertainty optimization. Over the last thirty years he has taught applied mathematical modeling classes to undergraduate and graduate students on topics such as radiation therapyof tumor, fuzzy and possibilistic optimization modeling, molecular distance geometry problems, and neural networks applied to control problems.
作者簡介(中文翻譯)
Laécio Carvalho de Barros是巴西聖保羅州坎皮納斯大學數學、統計和計算科學學院應用數學教授，於1997年獲得坎皮納斯大學應用數學博士學位。他是《Fuzzy Logic in Action: Applications in Epidemiology and Beyond》（2008年，Springer-Verlag Berlin Heidelberg）和《Fuzzy Differential Equations in Various Approaches》（2015年，Springer International Publishing）的合著者。他目前的研究興趣包括生物現象建模、模糊集合理論、模糊動態系統以及模糊交互過程的微分和積分計算。此外，他已經教授模糊數學建模和模糊集合理論課程超過二十年，面向本科和研究生學生。
Rodney Carlos Bassanezi是巴西聖保羅州坎皮納斯大學數學、統計和計算科學學院的名譽應用數學教授，他於1969年開始在該校任教。他於1977年獲得坎皮納斯大學數學博士學位。他曾在意大利特倫托自由大學擔任博士後和研究職位（1981年、1985年、1990年和1993年）。他的研究範圍涵蓋數學分析（極小曲面）、生物數學和模糊動態系統。他在葡萄牙語中出版了一些書籍，特別是一本關於微分方程的教科書（1988年）、一本關於數學建模的教科書（2002年）以及一本微積分和應用的介紹（2015年）。他曾擔任拉丁美洲生物數學學會主席（1999年至2001年）和聖保羅聯邦大學ABC分校數學研究生課程協調員。他指導了57名碩士生和28名博士生，他的學生在拉丁美洲各地任教。
Weldon Alexander Lodwick是科羅拉多大學丹佛分校的數學教授，於1980年獲得俄勒岡州立大學的數學博士學位。他是《Fuzzy Optimization: Recent Developments and Applications》（2010年，Springer-Verlag Berlin Heidelberg）的合編者，以及《Interval and Fuzzy Analysis: A Unified Approach》（2007年，Elsevier）的專著作者。他目前的研究興趣包括區間分析、距離幾何以及靈活和廣義不確定性優化。在過去的三十年中，他向本科和研究生學生教授應用數學建模課程，涉及領域包括腫瘤放射治療、模糊和可能性優化建模、分子距離幾何問題以及神經網絡應用於控制問題。
