Bipolar Complex Fuzzy Sets: Theory and Applications
暫譯: 雙極複雜模糊集：理論與應用

Ur Rehman, Ubaid, Mahmood, Tahir

Bipolar Complex Fuzzy Sets: Theory and Applications
  • 出版商: Springer
  • 出版日期: 2026-02-12
  • 售價: $6,440
  • 貴賓價: 9.8 折 $6,311
  • 語言: 英文
  • 頁數: 192
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032073871
  • ISBN-13: 9783032073877
  • 相關分類: 離散數學 Discrete-mathematics

    • 海外代購書籍(需單獨結帳)

商品描述

This book offers a comprehensive review of bipolar complex fuzzy sets theory. It investigates the algebraic structures such as lattices, semigroup, groups, semirings and rings. In turn, it discusses distance measures, similarity measures, correlation coefficient and entropy measures, together with the associated properties for bipolar complex fuzzy sets. Further, it describes the aggregation operators such as Hamy mean operators and power generalized Heronian mean operators in the environment of bipolar complex fuzzy set. Last but not least, it shows an application in supply chain management. The book addresses mathematicians and computer science working with imprecise, unclear information, and set the basis for new applications of fuzzy sets in the field of Intelligent Data-Driven Systems and Artificial Intelligence.

商品描述(中文翻譯)

本書提供了雙極複雜模糊集理論的全面回顧。它探討了代數結構，如格、半群、群、半環和環。接著，討論了距離度量、相似度量、相關係數和熵度量，以及與雙極複雜模糊集相關的性質。此外，它描述了在雙極複雜模糊集環境中的聚合運算子，如Hamy均值運算子和冪廣義Heronian均值運算子。最後，本書展示了在供應鏈管理中的應用。該書針對數學家和計算機科學家，特別是那些處理不精確、不清晰信息的人，並為模糊集在智能數據驅動系統和人工智慧領域的新應用奠定了基礎。

作者簡介

Ubaid ur Rehman working as an assistant professor at the Department of Mathematics, University of Management and Technology, Lahore, Pakistan. He received his Ph.D. degree in Mathematics from the International Islamic University Islamabad, Pakistan in 2023. His research interests include fuzzy sets and their generalizations, algebraic structures, aggregation operators, similarity measures, fuzzy decision-making, rough sets, soft sets, decision-making theory, and Machine learning. He has published more than 100 articles in well-reputed peer-reviewed journals with 320+ impact factor. He has been a member of the academic board of Global Open Share Publishing since 2024 and Editorial Board member of "Mathematics and System Science" journal.

Tahir Mahmood is Associate Professor of Mathematics at Department of Mathematics and Statistics, International Islamic University Islamabad, Pakistan. He received his Ph.D. degree in Mathematics from Quaid-i-Azam University Islamabad, Pakistan in 2012 in the field of Fuzzy Algebra. His areas of interest are Algebraic structures, Fuzzy Algebraic structures, Decision making and generalizations of fuzzy sets. Around 400 research publications are on his credit with more than 12700 citations, 900 impact factor, 56 h-index and around 221 i10-index. He has produced 65 MS students and 10 Ph.D. students. Currently he is working as editorial board member of 3 impact factor journals and as editor-in-chief of the journal "Journal of Innovative Research in Mathematical and Computational Sciences".

作者簡介(中文翻譯)

烏拜德·烏爾·雷赫曼擔任巴基斯坦拉合爾管理與技術大學數學系的助理教授。他於2023年在巴基斯坦伊斯蘭堡的國際伊斯蘭大學獲得數學博士學位。他的研究興趣包括模糊集合及其推廣、代數結構、聚合運算子、相似度量、模糊決策、粗集合、軟集合、決策理論以及機器學習。他在多個知名的同行評審期刊上發表了超過100篇文章，影響因子超過320。他自2024年以來一直是全球開放分享出版的學術委員會成員，並擔任《數學與系統科學》期刊的編輯委員會成員。 塔希爾·馬哈茂德是巴基斯坦國際伊斯蘭大學數學與統計系的副教授。他於2012年在巴基斯坦伊斯蘭堡的奎德·阿扎姆大學獲得數學博士學位，專攻模糊代數。他的研究領域包括代數結構、模糊代數結構、決策制定及模糊集合的推廣。他的研究成果累計約有400篇出版物，引用次數超過12700次，影響因子900，h指數56，i10指數約221。他指導了65名碩士生和10名博士生。目前，他擔任3本影響因子期刊的編輯委員會成員，並擔任《數學與計算科學創新研究期刊》的主編。

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