This work introduces anti-fuzzy hypergraphs and anti-fuzzy superhypergraphs, formulate their mathematical definitions, and establish basic well-definedness and canonical representation results that provide a unified foundation for max-based uncertainty modeling in higher-order and hierarchical network structures.
This paper introduces and investigates the connectivity properties with [Formula: see text]-PFIG, a novel extension of fuzzy incidence graphs characterized by multiple membership values corresponding to different polarities. The study systematically defines and explores key connectivity concepts, including paths, cycle...
This study introduces the concept of balanced spherical interval-valued fuzzy graphs based on density functions and investigates their fundamental properties and establishes a set of comprehensive criteria for determining whether a given SIvFG is balanced.
It is demonstrated that these graphs permit intuitionistic fuzzy cube difference graphs (IFCDGs) by assigning distinct MS and NMS values within the range of [0, 1].
The notion of graph complements has been widely generalized to study diverse structural and spectral properties of graphs. In this paper, we introduce and investigate the concept of generalized color complements of graphs with respect to a prescribed vertex partition. Building on earlier work on generalized color compl...
The concept of the (α, β, γ, δ)-level graph for a Turiyam graph, a novel extension of fuzzy and neutrosophic graphs that incorporates a fourth independent membership degree representing the unknown or liberal component, is investigated.
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