Affiliation:
1. Department of Mathematics, University of management and technology, Lahore 54770, Pakistan
Abstract
In this research article, we initiate the novel idea of picture
fuzzy incidence graphs (PFIGs). We explain some innovative notions
comprising of picture fuzzy cut-vertices, picture fuzzy bridges, picture
fuzzy incidence cutpairs, and picture fuzzy incidence cut-vertices. Some
rudimentary theorems and essential results are also examined in the PFIGs.
Further, we determine the different concepts together with the order, size,
and certain kinds of degrees in PFIG. A new type of PFIGs namely,
complete picture fuzzy incidence graphs (CPFIGs) and complement of
(PFIGs) are also furnished. A comparative analysis of PFIGs with fuzzy
incidence graphs is also presented. Finally, an application of PFIGs in
the control of illegal transportation of people from India to America is
provided
Publisher
Department of Mathematics, University of the Punjab
Reference60 articles.
1. M. Akram, m-Polar fuzzy graphs: Theory, Method and Applications, Studies in Fuziness and Soft Computing, Springer (2019).
2. M. Akram, A. Bashir and H. Garg, Decision-making model under complex picture fuzzy Hamacher aggregation operators, Computational and Applied Mathematics, 39, No. 3(2020) 1-38.
3. M. Akram and A. Habib, q-Rung picture fuzzy graphs: A creative view on regularity with applications,
4. Journal of Applied Mathematics and Computing, 61, No. 1-2 (2019) 235-280.
5. M. Akram, A. Habib and J. C. R. Alcantud, An optimization study based on Dijkstra algorithm for a network
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