Abstract
In this paper, the concept of Pseudo s-geodetic number of fuzzy graphs is introduced and it is shown that the Pseudo s-geodetic set is not in general a complementary s-geodetic set of a fuzzy graph. An upper and lower bound for the Pseudo s-geodetic number is exhibited. The Pseudo s-geodetic number of paths, fuzzy trees and of complete bipartite fuzzy graphs are obtained. An application of Pseudo s-geodetic sets in Location Theory has also been illustrated.
Conflict of Interest
The authors declare no conflict of interest.
Ethical Approval
Not applicable
Data Availability
The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].
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