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Matching numbers in fuzzy graphs

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Abstract

The present study aims to introduce new methods to achieve optimal matching in fuzzy graphs and classify the fuzzy sizes of the edges and vertices of a matching called “matching number”. Matching numbers in a fuzzy graph are not only a direct tool in improving existing matching optimization algorithms, but also can be used to build optimization algorithms based on the vertices of a matching. Thus, introduce the properties of matching numbers which are useful in constructing and solving edge-fuzzy and vertex-fuzzy maximization problems.

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Authors and Affiliations

  1. Department of Mathematics, Tehran Central Branch, Islamic Azad University, Tehran, Iran

    M. Khalili & M. Deldar

  2. Department of Mathematics, Shahid Beheshti University, Tehran, Iran

    R. A. Borzooei

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  1. M. Khalili
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  2. R. A. Borzooei
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  3. M. Deldar
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Correspondence to R. A. Borzooei.

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Khalili, M., Borzooei, R.A. & Deldar, M. Matching numbers in fuzzy graphs. J. Appl. Math. Comput. 67, 1–22 (2021). https://doi.org/10.1007/s12190-020-01463-z

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  • DOI: https://doi.org/10.1007/s12190-020-01463-z

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