Weighted and fuzzy graph theory / Sunil Mathew, John N. Mordeson, M. Binu.

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Weighted and fuzzy graph theory / Sunil Mathew, John N. Mordeson, M. Binu.

9783031397561 (electronic bk.)
3031397568 (electronic bk.)
9783031397554
303139755X

Cham : Springer, 2023.

English

1 online resource (xvii, 216 pages) : illustrations.

10.1007/978-3-031-39756-1 doi

QA166

511/.5

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 suØ cient. Weighted graphs over 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.

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Online resource; title from PDF title page (SpringerLink, viewed August 23, 2023).

Studies in fuzziness and soft computing ; v. 429.

Print version: 9783031397554

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