In the real world, many reversal phenomena occur—for example, cases in which a statement once regarded as false is later recognized as true. Upside-Down Logic is a framework designed to formalize such reversal phenomena as a logical system. It inverts the truth and falsity of propositions through contextual transformations, thereby capturing ambiguity and reversals within reasoning processes. A Plithogenic Set models elements by means of attribute-based membership and contradiction functions, extending the classical frameworks of fuzzy, intuitionistic, and neutrosophic sets. These concepts can also be applied to graph-based structures such as the Plithogenic Fuzzy Graph. A molecular graph models a molecule with atoms as vertices and bonds as edges, representing its structural connectivity. In this paper, we define the Plithogenic Fuzzy Molecular Graph and investigate its properties. A Plithogenic Fuzzy Molecular Graph models molecules using fuzzy memberships and contradiction-aware attributes, capturing uncertain atoms, bonds, and context dependent interactions.
Takaaki Fujita (Fri,) studied this question.