期刊
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
卷 67, 期 1-2, 页码 1-22出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-020-01463-z
关键词
Matching; Matching numbers; Edge-fuzzy number; Vertex-fuzzy number; Fuzzy prior; Strong-vertex matching
This 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 numbers. Matching numbers are not only a direct tool in improving existing matching optimization algorithms, but can also be used to build optimization algorithms based on the vertices of a matching. Introducing the properties of matching numbers is useful in constructing and solving edge-fuzzy and vertex-fuzzy maximization problems.
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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