Affiliation:
1. 1 School of Information Science and Technology , Yunnan Normal University , Kunming , China
2. 2 School of Faculty of Education , Yunnan Normal University , Kunming , China
Abstract
Abstract
The fractional factor implicates the characteristics of fractional flow in network data transmission, and it is a crucial tool for analyzing network information transfer. When there is uncertainty information in the network, the corresponding network graph should be characterized by fuzzy graphs, in which the vertex membership function (MF) describes the uncertainty of sites, and the edge membership reveals the uncertainty of channels. The previous work introduced the concept of fuzzy fractional factor (FFF) on fuzzy graphs, but the correlated concepts are still open on other fuzzy graph classes. In order to overcome this defect, in this contribution, the concept of fuzzy fractional factor is extended to intuitionistic fuzzy graph, Pythagorean fuzzy graph, and picture fuzzy graph. Sign-alternating walk and increasing walk are extended to the corresponding settings, and the transformation operations are re-defined in light of various situations. By means of constructive approaches, the corresponding theoretical results are further generalized in these settings, which characterizes the existence of (resp. maximum) fuzzy fractional factors in different kinds of fuzzy graphs.
Reference18 articles.
1. Akram M., Ahmad U., Rukhsar, Samanta S., Threshold graphs under Pythagorean fuzzy information, Journal of Multiple-Valued Logic and Soft Computing, 38(5-6), 547–574, 2022.
2. Yuan Y., Wang C.Z., Bipartite graph based spectral rotation with fuzzy anchors, Neurocomputing, 471, 369–376, 2022.
3. Raut S., Pal M., On chromatic number and perfectness of fuzzy graph, Information Sciences, 597, 392–411, 2022.
4. Perumal P., Document clustering using graph based fuzzy association rule generation, Computer Systems Science and Engineering, 43(1), 203–218, 2022.
5. Ullah K., Hussain A., Mahmood T., Ali Z., Alabrah A., Rahman S.M.M., Complex q-rung orthopair fuzzy competition graphs and their applications, Electronic Research Archive, 30(4), 1558–1605, 2022.