Recent Advances in Applications of Computational and Fuzzy Mathematics
暫譯: 計算數學與模糊數學應用的最新進展
Chakraverty, Snehashish, Perera, Sanjeewa
- 出版商: Springer
- 出版日期: 2019-01-19
- 售價: $4,600
- 貴賓價: 9.5 折 $4,370
- 語言: 英文
- 頁數: 178
- 裝訂: Quality Paper - also called trade paper
- ISBN: 9811345775
- ISBN-13: 9789811345777
海外代購書籍(需單獨結帳)
商品描述
This book addresses the basics of interval/fuzzy set theory, artificial neural networks (ANN) and computational methods. It presents step-by-step modeling for application problems along with simulation and numerical solutions.
In general, every science and engineering problem is inherently biased by uncertainty, and there is often a need to model, solve and interpret problems in the world of uncertainty. At the same time, exact information about models and parameters of practical applications is usually not known and precise values do not exist. This book discusses uncertainty in both data and models. It consists of seven chapters covering various aspects of fuzzy uncertainty in application problems, such as shallow water wave equations, static structural problems, robotics, radon diffusion in soil, risk of invasive alien species and air quality quantification. These problems are handled by means of advanced computational and fuzzy theory along with machine intelligence when the uncertainties involved are fuzzy. The proposed computational methods offer new fuzzy computing methods that help other areas of knowledge construction where inexact information is present.
商品描述(中文翻譯)
這本書探討了區間/模糊集合理論、人工神經網絡（ANN）和計算方法的基本概念。它逐步展示了應用問題的建模過程，並提供了模擬和數值解決方案。
一般來說，每個科學和工程問題本質上都受到不確定性的影響，通常需要在不確定的世界中建模、解決和詮釋問題。同時，實際應用的模型和參數的準確信息通常是未知的，精確值也不存在。
這本書討論了數據和模型中的不確定性。它由七個章節組成，涵蓋了應用問題中模糊不確定性的各個方面，例如淺水波方程、靜態結構問題、機器人技術、土壤中的氡擴散、外來入侵物種的風險以及空氣質量量化。這些問題通過先進的計算和模糊理論以及機器智能來處理，當涉及的不確定性是模糊的時候。所提出的計算方法提供了新的模糊計算方法，幫助其他知識建構領域中存在不精確信息的情況。
作者簡介
Dr. S. Chakraverty has 27 years' experience as a researcher and teacher. He is currently a Professor of Mathematics at the National Institute of Technology, Rourkela, Odisha, India. Prior to this he was with CSIR-Central Building Research Institute, Roorkee, India. Dr. Chakraverty received his Ph.D. from IIT Roorkee in 1992. He then pursued postdoctoral research at the Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was a Visiting Professor at Concordia and McGill Universities, Canada, from 1997 to 1999 and Visiting Professor at the University of Johannesburg, South Africa in 2011-2014. He has authored/co-authored 11 books, published 283 research papers in journals and conferences and two more books are ongoing. He is on the Editorial Boards of various international journals, book series and conferences. Dr. Chakraverty is the Chief Editor of the International Journal of Fuzzy Computation and Modelling (IJFCM), Inderscience Publisher, Switzerland and is Guest Editor for various other journals. He is also a reviewer for around 50 national and international journals and was the President of the Section of Mathematical Sciences (including Statistics) of Indian Science Congress (2015-2016) and the Vice President - Orissa Mathematical Society (2011-2013). Dr. Chakraverty is the recipient of a number of prestigious awards: Indian National Science Academy (INSA) nomination under the International Collaboration/Bilateral Exchange Program (with Czech Republic), Platinum Jubilee ISCA Lecture Award (2014), CSIR Young Scientist (1997), BOYSCAST (DST), UCOST Young Scientist (2007, 2008), Golden Jubilee Director's (CBRI) Award (2001), INSA International Bilateral Exchange Award ([2010-11 (selected but could not undertake), 2015 (selected)], and Roorkee University Gold Medals (1987, 1988) for first positions in M.Sc. and M.Phil. Dr. Chakraverty has been Principal Investigator of 16 research projects funded by international and national agencies. His current research areas include soft computing and machine intelligence, artificial neural networks, fuzzy and interval computations, numerical analysis, differential equations, mathematical modeling, uncertainty modeling, vibration and inverse vibration problems.
Dr. S.S.N. Perera has 16 years of research and teaching experience. He received his Ph.D. in Mathematical Modeling from the TU Kaiserslautern, Germany and University of Colombo, Sri Lanka (2008) under the DAAD scholarship program and his M.Sc. from ICTP/SISSA, Trieste, Italy (2004). He is currently working at the University of Colombo as a senior lecturer in Mathematics. His research interests include mathematical modeling in biology, infectious diseases, natural sciences, actuarial science, and computational biology, fuzzy logic based modeling and stochastic modeling. He has published numerous book chapters as well as research papers in various leading national and international journals. Dr. Perera is a member of the Editorial Board of the Journal of National Science Foundation, which is the only Sri Lankan journal in the science citation index.
作者簡介(中文翻譯)
Dr. S. Chakraverty 擁有 27 年的研究和教學經驗。他目前是印度奧里薩邦魯爾基拉國立技術學院的數學教授。在此之前，他曾在印度魯爾基的 CSIR-中央建築研究所工作。Dr. Chakraverty 於 1992 年在印度理工學院魯爾基校區獲得博士學位。隨後，他在英國南安普敦大學的聲音與振動研究所 (ISVR) 和加拿大康考迪亞大學的工程與計算機科學學院進行了博士後研究。他於 1997 年至 1999 年擔任康考迪亞大學和麥吉爾大學的訪問教授，並於 2011 至 2014 年擔任南非約翰尼斯堡大學的訪問教授。他已經著作或合著了 11 本書，並在期刊和會議上發表了 283 篇研究論文，另外還有兩本書正在進行中。他是多本國際期刊、書籍系列和會議的編輯委員會成員。Dr. Chakraverty 是瑞士 Inderscience 出版社的《國際模糊計算與建模期刊》(IJFCM) 的主編，並擔任其他多本期刊的客座編輯。他還是約 50 本國內外期刊的審稿人，並曾擔任 2015-2016 年印度科學大會數學科學（包括統計學）分會的會長，以及 2011-2013 年奧里薩數學學會的副會長。Dr. Chakraverty 獲得多項著名獎項：印度國家科學院 (INSA) 在國際合作/雙邊交流計劃下的提名（與捷克共和國），白金禧年 ISCA 演講獎（2014），CSIR 年輕科學家獎（1997），BOYSCAST（DST），UCOST 年輕科學家獎（2007、2008），金禧年主任獎（CBRI）（2001），INSA 國際雙邊交流獎（2010-11（被選中但未能參加），2015（被選中）），以及魯爾基大學的金獎（1987、1988）以表彰其在碩士和哲學碩士課程中的第一名。Dr. Chakraverty 是 16 個由國際和國內機構資助的研究項目的首席研究員。他目前的研究領域包括軟計算和機器智能、人工神經網絡、模糊和區間計算、數值分析、微分方程、數學建模、不確定性建模、振動和逆振動問題。
Dr. S.S.N. Perera 擁有 16 年的研究和教學經驗。他在德國凱瑟斯勞滕工業大學和斯里蘭卡科倫坡大學（2008）獲得數學建模的博士學位，該學位是通過 DAAD 獎學金計劃獲得的，並於 2004 年在意大利的 ICTP/SISSA 獲得碩士學位。他目前在科倫坡大學擔任數學的高級講師。他的研究興趣包括生物學中的數學建模、傳染病、自然科學、精算科學和計算生物學、基於模糊邏輯的建模和隨機建模。他在各大國內外領先期刊上發表了多篇書籍章節和研究論文。Dr. Perera 是《國家科學基金會期刊》的編輯委員會成員，該期刊是斯里蘭卡唯一的科學引文索引期刊。
