Data-Driven Modelling with Fuzzy Sets: A Neutrosophic Perspective
暫譯: 模糊集的數據驅動建模：一種中立哲學的視角

模糊集合長期以來被用來處理現實世界中的不精確和不確定信息，但它們在處理不完整和不一致數據方面的局限性導致了中立集合的出現。在這本引人深思的書籍《基於數據的模糊集合建模：中立視角》中，作者深入探討了中立集合的理論和廣泛應用，涵蓋了從中立圖到單值梯形中立集合及其在知識管理中的實際應用，包括學生學習評估、學術表現評估和技術文章篩選。這本全面的資源旨在幫助數學家、物理學家、計算機專家、工程師、學者、實踐者和希望深入了解中立集合及其在各個領域實際應用的學生。本書包含11章，對中立集合理論及其擴展進行了徹底的檢視。每一章都提供了有關基於數據的中立集合建模的各個方面的寶貴見解，並探討了它們在不同領域的應用。本書涵蓋了廣泛的主題。具體主題包括中立子模塊、中立集合的應用、具有中立不確定性的微分方程解、中立集合的基數、中立圓柱坐標、對圖形和氣候分析的應用、中立微分方程對增長模型的處理、中立聚合運算子在決策中的應用，以及Fermatean中立集合的相似性度量。來自該領域專家的多樣貢獻，加上評審者的建設性反饋，確保了本書的高質量和相關性。

本書

- 提出了使用語言四分單值中立軟集合對教育領域大數據的定性評估
- 展示了使用中立親和度和中立相似性指數在教育中應用n-圓柱模糊中立集合
- 涵蓋了使用單值中立馬爾可夫鏈對學生學術表現的科學評估
- 說明了多粒度單值中立概率粗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

憑藉其豐富的知識，本書旨在激發中立集合及其擴展領域的進一步研究和創新，為學者、實踐者和學生提供有價值的資源。

Said Broumi is serving as an associate assistant professor at the Regional Center for the Professions of Education and Training, Casablanca-Settat, Morocco. Dr. Broumi completed his MSc and PhD in computer science from University of Hassan II in Casablanca. He is a permanent member of the Laboratory of Information Processing, Faculty of Science Ben M'Sik, University Hassan II. His research interests are graph theory, extended fuzzy graphs, decision analysis, and neutrosophic theory. He has published diverse works on neutrosophic graph theory, soft set theory, multiattribute 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 been cited more than 5,992 times (Scholar Google, H-index 41). He has presented his research work at some international as well as national conferences. He is a reviewer for a number of international journals and He is also an editor-in-chief of Neutrosophic Set and Systems and International Journal of Neutrosophic Science.

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 in 2007. He has a total of 23 years of experience in both academia and research international as well as national institutions. He has published 110 research articles in international reputed journals as well as serving as a reviewer for many peer-reviewed journals. He has two patents to 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 three journals and coauthor of three books published by Lambert and Notion Press. He is also associate editor of Franklin Open.

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 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, in the mathematics department of the University of Patras, and 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), in the Department of Operational Mathematics of the University of Applied Sciences in Berlin (2010) and in the Mathematics Department of the National Institute of Technology of Durgapur (2016) under a grant of the Indian government. He is the author/editor of 18 books in Greek and in English and of more than 600 papers published in international journals, book chapters, and conference proceedings in more than 30 countries on 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 for the American Mathematical Society, Editor in Chief of Construction, Design, Maintenance (www.wseas.com/journals/dcm/index.php) and member of the editorial boards 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 an 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 a member of many scientific associations (AMS, HMS, ICTMA, IETI, etc.). His research interests include algebra, fuzzy logic, Markov chains, artificial intelligence, and mathematics education.

S. A. Edalatpanah is an associate professor at the Ayandegan Institute of Higher Education, Tonekabon, Iran. Dr. Edalatpanah received his Ph.D. in applied mathematics from the University of Guilan, Rasht, Iran. He is currently working as the Chief of R&D at the Ayandegan Institute. 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 these research areas. He serves on the editorial boards of several international journals. He is also the Director-in-Charge of Journal of Fuzzy Extension & Applications. Currently, he is president of the International Society of Fuzzy Set Extensions and Applications.

Said Broumi 擔任摩洛哥卡薩布蘭卡-塞塔特地區教育與培訓專業中心的副助理教授。Broumi 博士在卡薩布蘭卡的哈桑二世大學獲得計算機科學碩士和博士學位。他是哈桑二世大學科學學院資訊處理實驗室的常任成員。他的研究興趣包括圖論、擴展模糊圖、決策分析和中立理論。他在中立圖論、軟集合理論、多屬性決策分析以及一些中立數學的替代理論方面發表了多篇作品。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。他的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》。他的工作被引用超過 5,992 次（Google Scholar，H-index 41）。他在一些國際和國內會議上展示了他的研究工作。他是多本國際期刊的審稿人，並且是《Neutrosophic Set and Systems》和《International Journal of Neutrosophic Science》的主編。

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 年在馬農馬尼亞姆·蘇達拉納爾大學獲得博士學位。他在學術界和國際及國內研究機構擁有 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。他的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。他是三本期刊的客座編輯，並且是由 Lambert 和 Notion Press 出版的三本書的共同作者。他也是《Franklin Open》的副編輯。

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工程學院的名譽教授，該學院最近與佩洛波尼索斯大學合併。他於 1987 年至 2010 年擔任該研究所的正教授。他還曾在希臘開放大學、帕特雷斯大學的數學系以及帕特雷斯的初中和高中在職教師培訓學校任教，並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），進行學術休假。他曾作為訪問教授在華沙大學管理學院的研究生課程（2009）、柏林應用科學大學的運籌數學系（2010）以及杜爾加普爾國立技術學院的數學系（2016）授課，這些都是在印度政府的資助下進行的。他是 18 本希臘語和英語書籍的作者/編輯，以及在 30 多個國家的國際期刊、書籍章節和會議論文集中發表的超過 600 篇論文，並獲得超過 2000 次其他研究者的引用。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》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中應用的技術研究計劃（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博士論文的外部考官。他獲得了多項獎學金、榮譽和獎項，並且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、馬爾可夫鏈、人工智慧和數學教育。

S. A. Edalatpanah 是伊朗托內卡邦的 Ayandegan 高等教育學院的副教授。Edalatpanah 博士在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 學院的研發主管。他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。他在這些研究領域發表了超過 150 篇期刊和會議論文。他擔任多本國際期刊的編輯委員會成員，並且是《Journal of Fuzzy Extension & Applications》的負責編輯。目前，他是國際模糊集合擴展與應用學會的會長。