Beta and Gamma Products of Fuzzy Random Graphs with Hesitancy

Authors

  • Sarala N Department of Mathematics, A.D.M. College for Women (Autonomous), Bharathidasan University, Nagapattinam-611 001, Tamil Nadu, India
  • Abirami Ravichandran Department of Mathematics, A.D.M. College for Women (Autonomous), Bharathidasan University, Nagapattinam-611 001, Tamil Nadu, India

DOI:

https://doi.org/10.11113/mjfas.v20n6.3709

Keywords:

Fuzzy random graph (FRG), hesitancy fuzzy random graph (hfrg), beta product, gamma product.

Abstract

Fuzzy random graphs offer a powerful framework for modeling uncertain and imprecise relationships in various real-world systems. This study introduces the concept of hesitancy fuzzy random graphs, which incorporate both fuzziness and randomness in edge and vertex memberships. Additionally, this study investigates the beta and gamma products within the context of hesitancy fuzzy random graphs. Leveraging the beta and gamma operations, this study investigates the application of combining and aggregating uncertain information from multiple sources represented by hesitancy fuzzy random graphs.

References

Karthick Mohanta, A., Dey, A., & Pal, A. (2021). A note on different types of product of neutrosophic graphs. Complex & Intelligent Systems, 7. https://doi.org/10.1007/s40747-020-00238-0

NagoorGani, B., & FathimaKani, B. (2014). Beta and gamma product of fuzzy graphs. International Journal of Fuzzy Mathematical Archive, 4(1), 20–36. www.researchmathsci.org

Pathinathan, T., Arokiaraj, J., & Rosline, J. (2015). Hesitancy fuzzy graphs. Indian Journal of Science and Technology, 8(35). https://doi.org/10.17485/ijst/2015/v8i35/86672

Sarala, N., & Abirami, R. (2024). Analysis of fuzzy random graphs for decision making. Indian Journal of Natural Sciences, 15(83). https://tnsroindia.org.in

Shashikala, S., & P. N., A. (2021). Some studies on products of fuzzy soft graphs. Ratio Mathematica, 41, 227–254. https://www.academia.edu/67823332/Ratio_Mathematica_41_2021

Sunil, M. P., & Kumar, S. (2023). On beta product of hesitancy fuzzy graphs and intuitionistic hesitancy fuzzy graphs. Korean Journal of Mathematics, 31(4), 485–494. https://dx.doi.org/10.11568/kjm.2023.31.4.485

Vijaya, M. (2020). Modular product of fuzzy graphs with totally regular property. International Journal of Innovative Research in Science, Engineering and Technology, 9(6). www.ijirset.com

Downloads

Published

16-12-2024