| 书目名称 | Weighted and Fuzzy Graph Theory |
| 编辑 | Sunil Mathew,John N. Mordeson,M. Binu |
| 视频video | |
| 概述 | The first book written solely on weighted graphs.A timely introduction to Weighted and Fuzzy Graph Theory.Some of the chapters are written exclusively for weighted graphs and weighted adaptations of f |
| 丛书名称 | Studies in Fuzziness and Soft Computing |
| 图书封面 |  |
| 描述 | .One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevertheless, in many real-world situations, representing a set of complex relational objects as directed or undirected is not su¢ cient. Weighted graphs o§er a framework that helps to over come certain conceptual limitations. We show using the concept of an isomorphism that weighted graphs have a natural connection to fuzzy graphs. As we show in the book, this allows results to be carried back and forth between weighted graphs and fuzzy graphs. This idea is in keeping with the important paper by Klement and Mesiar that shows that many families of fuzzy sets are lattice isomorphic to each other. We also outline the important work of Head and Weinberger that show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs.. |
| 出版日期 | Book 2023 |
| 关键词 | Weighted Graph Theory; Fuzzy Graph Theory; Graph Theory; Fuzzy Systems; Intelligent Systems |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-39756-1 |
| isbn_softcover | 978-3-031-39758-5 |
| isbn_ebook | 978-3-031-39756-1Series ISSN 1434-9922 Series E-ISSN 1860-0808 |
| issn_series | 1434-9922 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:33:46
