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.

Keywords: Vague graph; lexicographic min-product; lexicographic max-product.

MSC: 05C72, 94C15

Pages:  43$-$57     

Volume  72 ,  Issue  1 ,  2020