Fuzzy Graph Theory (Studies in Fuzziness and Soft Computing)
暫譯: 模糊圖論(模糊性與軟計算研究)
Sunil Mathew, John N. Mordeson, Davender S. Malik
- 出版商: Springer
- 出版日期: 2018-01-22
- 售價: $7,920
- 貴賓價: 9.5 折 $7,524
- 語言: 英文
- 頁數: 320
- 裝訂: Hardcover
- ISBN: 3319714066
- ISBN-13: 9783319714066
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商品描述
This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs.
Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.
商品描述(中文翻譯)
本書提供了模糊圖論的及時概述,為未來在廣泛領域的應用奠定基礎。它向讀者介紹了基本理論,例如Craine對模糊區間圖的研究、Marczewski定理的模糊類比以及Gilmore和Hoffman的特徵描述。它還介紹了Fulkerson和Gross的特徵描述以及Menger定理,這些應用將在同一作者即將出版的書中討論。本書還詳細討論了模糊圖中的重要概念,如連通性、距離和飽和度。
由於本書在模糊圖論的基礎知識與作者所獲得的新發現之間取得了良好的平衡,因此本書為數學、工程和計算機科學的高年級本科生和研究生提供了優秀的參考指南,並且對所有對模糊邏輯和應用數學新發展感興趣的研究人員來說,都是一本啟發性的讀物。