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LEXICOGRAPHIC PRODUCT OF VAGUE GRAPHS WITH APPLICATIONopen access

Authors
Borzooei, R. A.Hoseini, B. SheikhJun, Young Bae
Issue Date
Jan-2020
Publisher
Drustvo Matematicara SR Srbije
Keywords
Vague graph; lexicographic min-product; lexicographic max-product
Citation
Matematicki Vesnik, v.72, no.1, pp 43 - 57
Pages
15
Indexed
SCOPUS
ESCI
Journal Title
Matematicki Vesnik
Volume
72
Number
1
Start Page
43
End Page
57
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/71946
ISSN
0025-5165
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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