Titlebook: Weighted and Fuzzy Graph Theory; Sunil Mathew,John N. Mordeson,M. Binu Book 2023 The Editor(s) (if applicable) and The Author(s), under ex

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Studies in Fuzziness and Soft Computinghttp://image.papertrans.cn/w/image/1021976.jpg

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https://doi.org/10.1007/978-3-031-39756-1Weighted Graph Theory; Fuzzy Graph Theory; Graph Theory; Fuzzy Systems; Intelligent Systems

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Weighted Graphs and Fuzzy Graphs,One of the most important papers concerning fuzzy set theory in recent years is one by Klement and Mesiar, [.]. In this paper, it is shown that differently defined families of fuzzy sets have lattice structures that are actually isomorphic and so theoretical results for one family can be carried over to another family.

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Fuzzy Results from Crisp Results, results from crisp sets can be used to derive results for fuzzy sets. In Sect. 9.6, we present some results on undirected power graphs of semigroups. In Sect. 9.7, we show how results concerning fuzzy graphs can be determined from the previous sections.

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Fuzzy Results from Crisp Results, results from crisp sets can be used to derive results for fuzzy sets. In Sect. 9.6, we present some results on undirected power graphs of semigroups. In Sect. 9.7, we show how results concerning fuzzy graphs can be determined from the previous sections.

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Cycle Connectivity, of the nature of edges present in them. Here we introduce a special category of cycles in weighted graphs called strongest strong cycles. A cycle . in a weighted graph . is called a . if . is the union of two strongest strong . paths for every pair of vertices . and . in . except when . is a .-bridge of . in ..

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Cycle Connectivity, of the nature of edges present in them. Here we introduce a special category of cycles in weighted graphs called strongest strong cycles. A cycle . in a weighted graph . is called a . if . is the union of two strongest strong . paths for every pair of vertices . and . in . except when . is a .-bridge of . in ..