Intuitionistic Fuzzy Contra Gδ − e∗-Locally Continuous Frameworkfor Secure UPI Transactions under Network Uncertainty

Authors

  • G. Saravanakumar Department of Mathematics, Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology (Deemed to be University), Avadi, Chennai-600062, India.
  • Naresh Kumar Jothi * Department of Mathematics, Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology (Deemed to be University), Avadi, Chennai-600062, India. https://orcid.org/0000-0002-3298-5751
  • M. Arun Department of Mathematics, Hindusthan College of Engineering & Technology, Valley Campus. Coimbatore-641032,India.

https://doi.org/10.22105/scfa.v3i1.84

Abstract

This paper presents a novel framework for secure UPI transactions under network uncertainty using intuitionistic fuzzy contra Gδ-e⋆-locally continuous functions. We introduce and explore the properties of these functions within the context of intuitionistic fuzzy topological spaces. The framework effectively models uncertainties and complex decision-making processes, providing a robust solution for secure transactions. The application to UPI transactions demonstrates the framework’s ability to handle network slowdowns and unauthorized access, ensuring secure and efficient transaction processing.

Keywords:

Intuitionistic fuzzy contra Gδ-e ⋆ -locally continuous, Intuitionistic fuzzy contra Gδ-e ⋆ -locally irresolute function, UPI transcation

References

  1. [1] Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.
  2. [2] Balasubramanian, G. (1995). Maximal fuzzy topologies. Kybernetika, 31, 459–465.
  3. [3] Coker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88, 81–89.
  4. [4] Coker, D., & Demirci, M. (1995). On intuitionistic fuzzy points. Notes IFS, 2(1), 79–84.
  5. [5] Ganster, M., & Relly, I. L. (1989). Locally closed sets and LC-continuous functions. International Journal of Mathematics and Mathematical Sciences, 12(3), 417–424.
  6. [6] Hanafy, I. M. (2003). Completely continuous function in intuitionistic fuzzy topological space. Czechoslovak Mathematical Journal, 53, 793–803.
  7. [7] Sivasangari, S., Balakumar, R., & Saravanakumar, G. (2020). Some Properties of Gδ-e⋆-locally Closed Sets via Intuitionistic Fuzzy Topological Spaces. Test Engineering and Management, 83, 7450–7454.
  8. [8] Sivasangari, S., Balakumar, R., & Saravanakumar, G. (2020). Gδ-e⋆-locally Continuous and Irresolute functions via Intuitionistic Fuzzy Topological Spaces. International Journal of Advanced Science and Technology, 29(4), 3043–3048.
  9. [9] Sobana, D., Chandrasekar, V., & Vadivel, A. (2018). On Fuzzy e-open Sets, Fuzzy e-continuity and Fuzzy e-compactness in Intuitionistic Fuzzy Topological Spaces. Sahand Communications in Mathematical Analysis, 12(1), 131–153.
  10. [10] Thakur, S. S., & Singh, S. (1998). On fuzzy semi-pre open sets and fuzzy semi-pre continuity. Fuzzy Sets and Systems, 383–391.
  11. [11] Zadeh, L. A. (1965). Fuzzy Sets. Information and Control, 8, 338–353.

Published

2026-03-11

Issue

Vol. 3 No. 1 (2026): Soft Computing Fusion with Applications

Section

Articles

How to Cite

Saravanakumar, G., Jothi, N. K., & Arun, M. (2026). Intuitionistic Fuzzy Contra Gδ − e∗-Locally Continuous Frameworkfor Secure UPI Transactions under Network Uncertainty. Soft Computing Fusion With Applications , 3(1), 1-9. https://doi.org/10.22105/scfa.v3i1.84

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