Data-Driven Modelling with Fuzzy Sets: Embracing Uncertainty
暫譯: 模糊集數據驅動建模：擁抱不確定性

Zadeh於1965年提出了模糊集合理論，其中真值由單位區間[0, 1]中的數字來建模，以數學方式處理日常生活中經常出現的部分真理。在第二階段，當隸屬函數被重新詮釋為可能性分佈時，模糊集合被廣泛用於不確定性建模。不確定性被定義為缺乏精確知識或完整信息，而可能性理論則專注於處理不完整的信息。Zadeh闡明了可能性與概率之間的關係，注意到可能的事物必須首先是可能的。隨著Zadeh的模糊集合，各種推廣（直覺主義、模糊中立、粗糙、軟集合等）相繼被提出，使得對現實世界中各類不確定性的管理更加有效。本書介紹了模糊集合及其擴展在科學、人文和教育領域的最新理論進展和應用。

本書：
- 提供了使用語言四分區單值模糊中立軟集合對教育領域大數據的定性評估。
- 展示了在教育中使用模糊中立親和度和模糊中立相似度指數的n-圓柱模糊中立集合的應用。
- 涵蓋了使用單值模糊中立馬爾可夫鏈對學生學業表現的科學評估。
- 說明了多粒度單值模糊中立概率粗糙集合在團隊評估中的應用。
- 檢視了基於多屬性群體決策的分佈估計算法，以評估教學質量。

本書主要為電機工程、電子與通信工程、計算機科學與工程領域的高年級本科生、研究生及學術研究人員所撰寫。

Said Broumi is serving as an Assistant Professor at Regional Center for the Professions of Education and Training, Casablanca-Settat, Morocco. Dr. Broumi Said completed his MSc and PhD in Computer Science from University of Hassan II of Casablanca, Morocco. He is permanent member at Laboratory of Information Processing, Faculty of Science Ben M'Sik, University Hassan II, Casablanca, Morocco. His research interests are in the field of graph theory, extended fuzzy graphs, decision analysis and neutrosophic theory. He has diversity in his research work. He has published several works on neutrosophic graph theory, soft set theory, multi-attribute decision analysis and some alternative theories of Neutrosophic Mathematics. He has published more than 200 research articles in international peer-reviewed ISI Indexed /Impact factor journals. Some of his papers have been published in high impact journals including, Complex & Intelligent Systems, Computational and Applied Mathematics, Symmetry, and Journal of Neutrosophic Set and Systems. His work has largely been cited and total citation is more than 5992 (Scholar Google, H-index 41). He has presented his research work at some national as well as international conferences. He has been acting as a reviewer for a number of international journals. He is also an Editor in chief of the following journals:

1. International Journal of Neutrosophic Set and Systems

2. International Journal of Neutrosophic Science

Dr. D. Nagarajan is a Professor in the Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India. He received his Ph.D., from Manonmaniam Sundaranar University,2007. He has a total of twenty-three years of experience in both academia and research National as well as International Institutions. He has published 110 research articles in international reputed journals as well as serving as a reviewer for many peers reviewed journals. He has two patents on his credit.His research interests include Stochstic processes, Fuzzy sets and system, Neutrosophic control systems and image processing. He is also associated with various educational and research societies, like IMS, ISTE, IAENG, AMTI and ISRD. He is the Guest editor of 3 Journals, also coauthor of 3 books published by different publishers like Lambert and Notion Press.He is associate editor of Franklin Open journal.

Dr. Seyyed Ahmad Edalatpanah is Associate Professor at the Ayandegan Institute of Higher Education, Tonekabon, Iran. S. A. Edalatpanah received his Ph.D. degree in Applied Mathematics from the University of Guilan, Rasht, Iran. He is currently working as the Chief of R&D at the Ayandegan Institute of Higher Education, Iran. He is also an academic member of Guilan University and the Islamic Azad University of Iran. Dr. Edalatpanah's fields of interest include numerical computations, operational research, uncertainty, fuzzy set and its extensions, numerical linear algebra, soft computing, and optimization. He has published over 150 journal and conference proceedings papers in the above research areas. He serves on the editorial boards of several international journals. He is also the Director-in-Charge of the Journal of Fuzzy Extension & Applications. Currently, he is president of "International Society of Fuzzy Set Extensions and Applications" (ISFSEA).

Michael Gr. Voskoglou (B.Sc., M.Sc., M.Phil., Ph.D. in Mathematics) is an Emeritus Professor of Mathematical Sciences at the School of Engineering of the Graduate Technological Educational Institute (T. E. I.) of Western Greece, which has recently been joined with the University of Peloponnese. He was a full Professor at the same Institute from 1987 to 2010. He was also an instructor at the Hellenic Open University, at the Mathematics Department of the University of Patras, at the Schools of Primary and Secondary In - Service Teachers' Training in Patras and a teacher of mathematics at the Greek Public Secondary Education (1972-1987). He worked as a Visiting Researcher at the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences in Sofia for three years (1997-2000), under sabbatical. He has lectured as a Visiting Professor in postgraduate courses at the School of Management of the University of Warsaw (2009), at the Department of Operational Mathematics of the University of Applied Sciences in Berlin (2010) and at the Mathematics Department of the National Institute of Technology of Durgapur (2016) under a grand of the Indian Government. He is the author/editor of 18 books in Greek and in English language and of more than 600 papers published in international journals, book chapters and proceedings of conferences of more than 30 countries in the five continents, with more than 2000 citations from other researchers. He used to be the Editor in Chief of the "International Journal of Applications of Fuzzy Sets and Artificial Intelligence" (2011-2020) and currently he is a reviewer of the American Mathematical Society, Editor in Chief of the journal "Construction, Design, Maintenance" (www.wseas.com/journals/dcm/index.php) and member of the Editorial Board of many other international scientific journals. He has conducted five programs of technological research on applications of quantitative methods to Management (1989-1997), he has supervised many student dissertations, and he was external examiner of Ph.D. dissertations at Universities of Egypt, India and Saudi Arabia. He is the recipient of many scholarships, distinctions and honorary awards and member of many scientific associations (AMS, HMS, ICTMA, IETI, etc.). His research interests include Algebra, Fuzzy Logic, Markov Chains, Artificial Intelligence and Mathematics Education.

Said Broumi 現任摩洛哥卡薩布蘭卡-塞塔特地區教育與培訓專業中心的助理教授。Broumi Said 博士於摩洛哥卡薩布蘭卡哈桑二世大學獲得計算機科學碩士及博士學位。他是摩洛哥哈桑二世大學科學學院資訊處理實驗室的永久成員。他的研究興趣包括圖論、擴展模糊圖、決策分析和中立理論。他的研究工作多樣，已發表多篇有關中立圖論、軟集合理論、多屬性決策分析及一些中立數學的替代理論的論文。他在國際同行評審的 ISI 索引/影響因子期刊上發表了超過 200 篇研究文章。其中一些論文發表在高影響力的期刊上，包括《Complex & Intelligent Systems》、《Computational and Applied Mathematics》、《Symmetry》和《Journal of Neutrosophic Set and Systems》。他的工作被廣泛引用，總引用次數超過 5992 次（Google Scholar，H-index 41）。他曾在一些國內及國際會議上展示其研究成果，並擔任多本國際期刊的審稿人。他也是以下期刊的主編：

1. International Journal of Neutrosophic Set and Systems
2. International Journal of Neutrosophic Science

Dr. D. Nagarajan 是印度金奈拉賈拉克什米技術學院數學系的教授。他於 2007 年獲得 Manonmaniam Sundaranar University 的博士學位。他在國內外學術及研究機構擁有 23 年的經驗。他在國際知名期刊上發表了 110 篇研究文章，並擔任多本同行評審期刊的審稿人。他擁有兩項專利，研究興趣包括隨機過程、模糊集合及系統、中立控制系統和影像處理。他還與多個教育和研究社團有關聯，如 IMS、ISTE、IAENG、AMTI 和 ISRD。他是 3 本期刊的客座編輯，並且是由不同出版社如 Lambert 和 Notion Press 出版的 3 本書的共同作者。他是 Franklin Open Journal 的副編輯。

Dr. Seyyed Ahmad Edalatpanah 是伊朗托內卡邦 Ayandegan 高等教育學院的副教授。S. A. Edalatpanah 於伊朗拉什特的吉蘭大學獲得應用數學博士學位。他目前擔任 Ayandegan 高等教育學院的研發主管，同時也是吉蘭大學和伊朗伊斯蘭亞茲大學的學術成員。Edalatpanah 博士的研究領域包括數值計算、運籌學、不確定性、模糊集合及其擴展、數值線性代數、軟計算和優化。他在上述研究領域發表了超過 150 篇期刊和會議論文，並在多本國際期刊的編輯委員會中任職。他還是《Fuzzy Extension & Applications》期刊的負責編輯。目前，他是「國際模糊集合擴展與應用學會」（ISFSEA）的會長。

Michael Gr. Voskoglou（數學學士、碩士、哲學碩士、博士）是希臘西部技術教育研究所（T. E. I.）數學科學的名譽教授，該所最近與佩洛波尼索斯大學合併。他自 1987 年至 2010 年擔任該所的全職教授，並曾在希臘開放大學、帕特雷大學數學系、帕特雷市的初中及高中在職教師培訓學校任教，還曾在希臘公立中學教授數學（1972-1987）。他曾在保加利亞科學院數學與資訊學研究所擔任訪問研究員三年（1997-2000），並在休假期間進行研究。他曾作為訪問教授在華沙大學管理學院（2009）、柏林應用科學大學運籌數學系（2010）及杜爾加普國立技術學院數學系（2016）授課，這些都是印度政府的資助項目。他是 18 本希臘語和英語書籍的作者/編輯，並在國際期刊、書籍章節及來自五大洲 30 多個國家的會議論文中發表了超過 600 篇論文，引用次數超過 2000 次。他曾擔任《International Journal of Applications of Fuzzy Sets and Artificial Intelligence》的主編（2011-2020），目前是美國數學學會的審稿人、《Construction, Design, Maintenance》期刊的主編（www.wseas.com/journals/dcm/index.php），並且是多本其他國際科學期刊的編輯委員會成員。他曾進行五個關於定量方法在管理應用的技術研究計畫（1989-1997），指導過許多學生的論文，並擔任埃及、印度和沙烏地阿拉伯大學的博士論文外部考官。他獲得多項獎學金、榮譽和獎項，並是多個科學協會的成員（AMS、HMS、ICTMA、IETI 等）。他的研究興趣包括代數、模糊邏輯、馬可夫鏈、人工智慧和數學教育。