COMPLEX NEUTROSOPHIC VAGUE SOFT GRAPHS

SURIYAKUMAR G.; V. J. SUDHAKAR; SYED TAHIR HUSSAINY; MANA DONGANONT

Authors

SURIYAKUMAR G. Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi, Affiliated to Thiruvalluvar University, Vellore, Tamil Nadu, India;
V. J. SUDHAKAR Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi, Affiliated to Thiruvalluvar University, Vellore, Tamil Nadu, India;
SYED TAHIR HUSSAINY Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi, Affiliated to Thiruvalluvar University, Vellore, Tamil Nadu, India;
MANA DONGANONT School of Science, University of Phayao, Phayao 56000, Thailand;

Keywords:

Soft Graph; Neutrosophic Soft Graph; Complex Neutrosophic Vague Soft Graph

Abstract

In this paper, we present and expand on the idea of complex neutrosophic vague soft graphs (CNVSGs), a
sophisticated framework for simulating vagueness, uncertainty and indeterminacy in complex systems. We characterise
a strong complex neutrosophic vague soft graph (SCNVSG) as one in which, under soft set parameters, both the edges
and vertices have complex-valued memberships and high levels of neutrosophic vagueness. A revised metric that takes
into consideration a cumulative strength and uncertainty of connections within the graph properties, we also present the
complement of a complex neutrosophic vague soft graph and the complement of a strong complex neutrosophic vague
soft graph. In uncertain networks, a complement operations provide information about inverse behaviors and dual linkage.
We further explore the notion of isomorphism and provide criteria for structural equivalence under complex neutrosophic
inaccurate mappings. To demonstrate how the proposed ideas can be used, examples are provided. The theoretical results in
this paper provide the way for future studies of complex uncertain networks, particularly in areas such as information fusion,
cognitive modelling and decision support systems.

DOI: 10.5281/zenodo.15733484