Fuzzy Sets and Triangular Norms: Aggregation in Decision-Aided Intelligent Systems
暫譯: 模糊集合與三角範數：決策輔助智能系統中的聚合

Ünver, Mehmet, Özçelik, Gökhan

Fuzzy Sets and Triangular Norms: Aggregation in Decision-Aided Intelligent Systems
  • 出版商: CRC
  • 出版日期: 2026-08-12
  • 售價: $6,640
  • 貴賓價: 9.5 折 $6,308
  • 語言: 英文
  • 頁數: 320
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1032867671
  • ISBN-13: 9781032867670
  • 相關分類: Machine Learning

    • 尚未上市，無法訂購

商品描述

This book aims to serve as a comprehensive resource that equips readers with the knowledge and practical skills needed to navigate the intricacies of fuzzy set theory, t-norms, and their integration into decision-aided intelligent systems. It provides a comprehensive understanding of aggregation operators and their role in data fusion, risk analysis, and expert opinion aggregation.

  • New aggregation operators, entropy measures, t-norm, and t-conorm structures are developed across multiple fuzzy set extensions to better model uncertainty and hesitation in decision-making.
  • A wide range of real-world applications, including, tourism planning, smart cities, urban mobility, water security, smart campus automation, energy facility siting, and firefighting helicopter selection, are addressed using advanced multi-criteria decision making methods.
  • The chapters collectively emphasize sustainable, data-driven, and uncertainty-aware decision support, contributing solutions in areas such as environmental protection, resource optimization, public services, and technological infrastructure.
  • Innovative techniques, such as Lambert W-based aggregation operators, Choquet integral-based entropy, confidence-level aggregation, and fuzzy-machine learning hybrid models, improve the representation of interaction, ambiguity, and complexity in multi-criteria decision problems.

The text is primarily written for senior undergraduates, graduate students, and academic researchers in diverse fields including mathematics, industrial engineering, supply chain management, operations research, manufacturing engineering, production engineering, and applied mathematics.

商品描述(中文翻譯)

這本書旨在作為一個全面的資源，為讀者提供所需的知識和實用技能，以應對模糊集合理論、t-範數及其在決策輔助智能系統中的整合的複雜性。它提供了對聚合運算子及其在數據融合、風險分析和專家意見聚合中的角色的全面理解。

- 開發了新的聚合運算子、熵度量、t-範數和t-共範數結構，以更好地建模決策中的不確定性和猶豫。
- 涉及廣泛的現實應用，包括旅遊規劃、智慧城市、城市流動性、水資源安全、智慧校園自動化、能源設施選址和消防直升機選擇，使用先進的多準則決策方法進行處理。
- 各章節共同強調可持續的、數據驅動的和考慮不確定性的決策支持，為環境保護、資源優化、公共服務和技術基礎設施等領域提供解決方案。
- 創新的技術，如基於Lambert W的聚合運算子、基於Choquet積分的熵、置信度聚合和模糊機器學習混合模型，改善了多準則決策問題中互動、模糊性和複雜性的表現。

本書主要針對高年級本科生、研究生以及來自數學、工業工程、供應鏈管理、運籌學、製造工程、生產工程和應用數學等多個領域的學術研究者。

作者簡介

Mehmet Ünver completed his undergraduate studies in the Department of Mathematics at Ankara University (Türkiye) in 2007, followed by his master's degree at the same institution in 2009. During his master's studies, he focused on summability theory and Korovkin-type approximation theory. He earned his PhD in Mathematics from Ankara University in 2013, continuing his research in summability theory and Korovkin-type approximation theory. He served as a research assistant at the Department of Mathematics, Ankara University, from 2009 to 2015, and later as an assistant professor from 2015 to 2017. He has held the position of Associate Professor at the Department of Mathematics, at Ankara University. He is currently working as a full time professor at the same instutition. His current research pursuits encompass fuzzy measure and fuzzy set theory, multi-criteria decision-making, Korovkin-type approximation theory, and summability theory, resulting in numerous published papers in highly cited journals on topics including summability theory and the applications of fuzzy set theory in multi-criteria decision-making, pattern recognition, aggregation operators, and classification.

Gökhan Özçelik obtained his bachelor's degree from the Department of Industrial Engineering at Gazi University (Türkiye) in 2009. He completed his master's degree in the same department in 2011 and subsequently received his PhD in Industrial Engineering from Gazi University in 2016. Presently, he serves as an Associate Professor at Karadeniz Technical University (Türkiye). His research primarily focuses on optimization, multi-criteria decision-making, and fuzzy sets and systems. He has an extensive publication record in reputable journals such as the European Journal of Operational Research, Transportation Research Part E, Expert Systems with Applications, International Journal of Production Research, and Journal of Cleaner Production, among others.

作者簡介(中文翻譯)

梅赫梅特·尤恩維爾（Mehmet Ünver）於2007年在土耳其安卡拉大學（Ankara University）的數學系完成本科學業，並於2009年在同一機構獲得碩士學位。在碩士學習期間，他專注於可總和性理論（summability theory）和科羅夫金型近似理論（Korovkin-type approximation theory）。他於2013年在安卡拉大學獲得數學博士學位，並持續在可總和性理論和科羅夫金型近似理論方面進行研究。他於2009年至2015年擔任安卡拉大學數學系的研究助理，隨後於2015年至2017年擔任助理教授。他目前在安卡拉大學數學系擔任副教授，並且目前全職任教於該機構。他目前的研究方向包括模糊測度（fuzzy measure）和模糊集合理論（fuzzy set theory）、多準則決策（multi-criteria decision-making）、科羅夫金型近似理論和可總和性理論，並在高引用率的期刊上發表了多篇論文，主題涵蓋可總和性理論及模糊集合理論在多準則決策、模式識別、聚合運算子（aggregation operators）和分類中的應用。

戈克漢·厄茲切利克（Gökhan Özçelik）於2009年在土耳其加茲大學（Gazi University）的工業工程系獲得學士學位，並於2011年在同一系所完成碩士學位，隨後於2016年獲得工業工程博士學位。目前，他在卡拉登茲技術大學（Karadeniz Technical University）擔任副教授。他的研究主要集中在優化（optimization）、多準則決策和模糊集合及系統（fuzzy sets and systems）方面。他在多個知名期刊上發表了大量論文，包括《歐洲運籌研究期刊》（European Journal of Operational Research）、《交通研究E部分》（Transportation Research Part E）、《應用專家系統》（Expert Systems with Applications）、《國際生產研究期刊》（International Journal of Production Research）和《清潔生產期刊》（Journal of Cleaner Production）等。

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