Soft Computing: Recent Advances and Applications in Engineering and Mathematical Sciences

This book explores Soft Computing techniques in a systematic manner starting from their initial stage to recent developments in this area. The book presents a survey of the existing knowledge and also the current state-of-the-art development through cutting-edge original new contributions from the researchers. Soft Computing: Recent Advances and Applications in Engineering and Mathematical Sciences, presents a survey of the existing knowledge and also the current state of the art development through cutting-edge original new contributions from the researchers.

As suggested by the title, this book particularly focuses on the recent advances and applications of soft computing techniques in engineering and mathematical sciences. The first chapter describes the contribution of soft computing techniques towards a new paradigm shift. The subsequent chapters present a systematic application of fuzzy logic in mathematical sciences and decision-making. New research directions are also provided at the end of each chapter. The application of soft computing in health sciences and in the modeling of epidemics including the effects of vaccination are also examined. Sustainability of green product development, optimum design of 3D steel frame, digitalization investment analysis in the maritime industry, forecasting return rates of individual pension funds are among some of the topics where engineering and industrial applications of soft computing have been studied in the book. The readers of this book will require minimum pre-requisites of undergraduate studies in computation and mathematics.

This book is meant for graduate students, faculty, and researchers that are applying soft computing in engineering and mathematics. New research directions are also provided at the end of each chapter.

本書系統地探討了軟計算技術從其初期階段到最新發展的過程。該書通過研究人員的前沿原創貢獻，提供了現有知識和當前最新發展的概述。《軟計算：工程和數學科學中的最新進展和應用》專注於軟計算技術在工程和數學科學中的最新進展和應用。第一章描述了軟計算技術對新範式轉變的貢獻。隨後的章節系統地應用模糊邏輯於數學科學和決策。每章末尾還提供了新的研究方向。書中還探討了軟計算在健康科學和流行病建模中的應用，包括疫苗接種的影響。書中研究了軟計算在綠色產品開發的可持續性、3D鋼框架的最優設計、海事業中的數字化投資分析、個人退休基金回報率預測等工程和工業應用的主題。閱讀本書的讀者只需要具備本科計算和數學的最低先備知識。本書適用於應用軟計算於工程和數學領域的研究生、教師和研究人員。每章末尾還提供了新的研究方向。

Pradip Debnath is an Assistant Professor (in Mathematics) at the Department of Applied Science and Humanities, Assam University, Silchar (a central university), India. He received his Ph.D. in Mathematics from the National Institute of Technology Silchar, India. His research interests include fixed point theory, nonlinear functional analysis, soft computing and mathematical statistics. He has published more than 60 papers in various journals of international repute and is reviewer for more than 40 international journals. Dr. Debnath is also a reviewer for "Mathematical Reviews" published by the American Mathematical Society. He is the Lead Editor of the books "Metric Fixed Point Theory - Applications in Science, Engineering and Behavioural Sciences" (2021, Springer Nature), "Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences" (2021, CRC Press) and "Fixed Point Theory and Fractional Calculus: Recent Advances and Applications" (2022, Springer Nature). He has successfully guided Ph.D. students in the areas of fuzzy logic, soft computing and fixed point theory. He has recently completed a Basic Science Research Project on fixed point theory funded by the UGC, the Government of India. Having been an academic gold medalist during his post-graduation studies from Assam University, Silchar, Dr. Debnath has qualified several national-level examinations in mathematics in India.

Oscar Castillo holds the Doctor in Science degree (Doctor Habilitatus) in Computer Science from the Polish Academy of Sciences (with the Dissertation "Soft Computing and Fractal Theory for Intelligent Manufacturing"). He is a Professor of Computer Science in the Graduate Division, Tijuana Institute of Technology, Tijuana, Mexico. In addition, he is serving as Research Director of Computer Science and head of the research group on Hybrid Fuzzy Intelligent Systems. Currently, he is President of HAFSA (Hispanic American Fuzzy Systems Association) and Past President of IFSA (International Fuzzy Systems Association). Prof. Castillo is also Chair of the Mexican Chapter of the Computational Intelligence Society (IEEE). He also belongs to the Technical Committee on Fuzzy Systems of IEEE and to the Task Force on "Extensions to Type-1 Fuzzy Systems". He is also a member of NAFIPS, IFSA and IEEE. He belongs to the Mexican Research System (SNI Level 3). His research interests are in Type-2 Fuzzy Logic, Fuzzy Control, Neuro-Fuzzy and Genetic-Fuzzy hybrid approaches.

Poom Kumam received the B.S., M.Sc., and Ph.D. degrees in mathematics from Burapha University (BUU), Chiang Mai University (CMU), and Naresuan University (NU), respectively. In 2008, he received a grant from Franco-Thai Cooperation for short-term visited at the Laboratoire de Mathematiques, Universite de Bretagne Occidentale, France. He was also a Visiting Professor for a short-term research with Professor Anthony To-Ming Lau at the University of Alberta, AB, Canada. He is currently a Full Professor with the Department of Mathematics, King Mongkut's University of Technology Thonburi (KMUTT), where he is also the Head of the KMUTT Fixed Point Theory and Applications Research Group since 2007 and also leading of the Theoretical and Computational Science Center (TaCS-Center) in 2014 (now, became to TaCS-Center of Excellence in 2021). He has successfully advised 5 master's, and 44 Ph.D. graduates. . Dr. Poom Kumam has been Highly Cited Researcher (HCR 2015, 2016, 2017). He has also been listed and ranked in the 197th Place in General Mathematics among the Top 2% Scientists in the World 2021 (Published by Stanford University in USA).

Pradip Debnath是印度Assam大學應用科學與人文學院的助理教授（數學）。他在印度國家技術學院Silchar分校獲得數學博士學位。他的研究興趣包括不動點理論、非線性函數分析、軟計算和數理統計。他在各種國際知名期刊上發表了60多篇論文，並擔任40多個國際期刊的審稿人。Debnath博士還是美國數學學會出版的《數學評論》的審稿人。他是書籍《Metric Fixed Point Theory - Applications in Science, Engineering and Behavioural Sciences》（2021年，Springer Nature）、《Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences》（2021年，CRC Press）和《Fixed Point Theory and Fractional Calculus: Recent Advances and Applications》（2022年，Springer Nature）的主編。他成功指導了模糊邏輯、軟計算和不動點理論領域的博士生。他最近完成了由印度政府資助的關於不動點理論的基礎科學研究項目。Debnath博士在Assam大學Silchar分校的研究生學習期間獲得了學術金牌獎，並在印度的數學國家級考試中取得了資格。

Oscar Castillo擁有波蘭科學院計算機科學博士學位（論文題為“用於智能製造的軟計算和分形理論”）。他是墨西哥提華納理工學院研究生部的計算機科學教授。此外，他還擔任混合模糊智能系統研究小組的研究主任和計算機科學研究主任。目前，他是Hispanic American Fuzzy Systems Association（HAFSA）的主席，並曾擔任國際模糊系統協會（IFSA）的主席。Castillo教授還是IEEE計算智能學會墨西哥分會的主席，並且是IEEE模糊系統技術委員會和“Extensions to Type-1 Fuzzy Systems”任務組的成員。他還是NAFIPS、IFSA和IEEE的成員。他是墨西哥研究系統（SNI Level 3）的成員。他的研究興趣包括二階模糊邏輯、模糊控制、神經模糊和遺傳模糊混合方法。

Poom Kumam分別在Burapha大學、清邁大學和Naresuan大學獲得了數學學士、碩士和博士學位。2008年，他獲得法泰合作短期訪問法國布列塔尼西部大學數學實驗室的資助。他還曾在加拿大阿爾伯塔大學與Anthony To-Ming Lau教授進行短期研究。他目前是泰國曼谷蒙古工業大學數學系的教授，也是該校不動點理論和應用研究小組的負責人，並於2014年成立了理論和計算科學中心（TaCS-Center）（現在成為2021年的卓越TaCS-Center）。他成功指導了5名碩士和44名博士研究生。Poom Kumam博士是2015年、2016年和2017年的高被引研究者（HCR）。他還在2021年由美國斯坦福大學發表的世界頂尖2%科學家中的總數學排名中名列第197位。