This paper investigates ultrafilters in the context of connectivity systems, defined as pairs
$(X, f) $ where $ X $ is a finite set and $ f $ is a symmetric submodular function. Ultrafilters …

Due to the existence of two opposite sided opinions in bipolar fuzzy graphs, the positive and
negative communication between all pair of vertices always may not be strong. So, the …

Connectivity and strength has a major role in the field of network connecting with real world
life. Complexity function is one of these parameter which has manifold number of …

Connectivity index of graph plays a significant role in chemistry, pharmacology, etc. This
paper brings in connectivity index of a bipolar fuzzy graph (BFG) with its boundedness. We …

A rough set, an extension of a crisp set, is a mathematical tool to understand and model
uncertainty without much prior information, additional adjustments or pre-defined …

Due to the presence of two opposite directional thinking in relationships between countries
and communication systems, the systems may not always be balanced. Therefore, the …

A graph structure is a useful tool in solving the combinatorial problems in different areas of
computer science and computational intelligence systems. In this paper, we introduce the …

Fuzzy graph (FG) models embrace the ubiquity of existing in natural and man‐made
structures, specifically dynamic processes in physical, biological, and social systems. It is …

Connectivity can be used to measure the strength and combined power of a connected
network system. Randic index of graph is one such parameter and it can measure the total …

Incidence graph can be used to model some non-deterministic intercommunication networks
having extra vertex-edge relationship. For two opposite sided thinking (ie bipolarity), bipolar …