The Modular Product of Two Cubic Fuzzy Graph Structures

The combination of cubic fuzzy graphs and fuzzy graph structures, the cubic fuzzy graph structure specializes for handling complicated issues, particularly those involving many interactions. This type of fuzzy graph properties and their technique for determining the vertex degree support both fuzzy membership and interval-valued fuzzy membership simultaneously. To improve the representation of uncertainty and higher-order membership degrees, the idea of cubic fuzzy sets recently been introduced as an extension to standard fuzzy sets, which provides a novel method for handling them. The approach to utilizes the benefits of the modular product. In the applications, we have studied the concept of multimodal biometric decision fusion using modular product design and the cubic fuzzy sets provides an efficient and secure way to authenticate users and control access to sensitive systems.