LEXICOGRAPHIC PRODUCT OF VAGUE GRAPHS WITH APPLICATION

Authors

  • R. A. Borzooei Department of Mathematics, Shahid Beheshti University, Tehran, Iran Author
  • B. Sheikh Hoseini Department of Mathematics, Shahid Beheshti University, Tehran, Iran Author
  • Y. B. Jun Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea Author

Keywords:

Vague graph, lexicographic min-product, lexicographic max-product

Subjects:

05C72, 94C15

Abstract

A vague graph is a generalized structure of a fuzzy graph which gives more precision, flexibility, and compatibility to a system when it is compared with the systems which are designed by using fuzzy graphs. The present study aims to introduce the notion of lexicographic min-product and max-product of two vague graphs. Then, the degree of a vertex in the lexicographic products of two vague graphs is obtained. Finally, a relationship is obtained between the lexicographic min-product and lexicographic max-product.

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Published

2020-01-15

Issue

Vol. 72 No. 1 (2020): Vol. 72, Issue 1

Section

Articles

License

Copyright (c) 2020 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.