Neutrosophic and Plithogenic Operators:Negation, Intersection, Union, Implication, Equivalence

Autores/as

  • Florentin Smarandache University of New Mexico, Gallup, NM 87301, USA Autor/a

Palabras clave:

neutrosophic logic; plithogenic logic; triangular norm; triangular conorm; neutrosophic operators; plithogenic operators

Resumen

This short contribution presents the neutrosophic and plithogenic logical operators -- negation, intersection (conjunction), union (disjunction), implication, and equivalence -- expressed in terms of triangular norms (t-norms) and triangular conorms (t-conorms). For neutrosophic operators the truth component T employs the t-norm while the falsity component F employs the t-conorm (and vice versa), reflecting their opposed semantic roles; indeterminacy I is treated as predominantly of negative quality. Plithogenic operators differ only in the treatment of I, which receives the arithmetic mean of the t-norm and t-conorm applied to the I components. Several classical parametric families of t-norms are recalled as concrete instances.

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2026-05-14

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Cómo citar

Neutrosophic and Plithogenic Operators:Negation, Intersection, Union, Implication, Equivalence. (2026). Neutrosophic Computing and Machine Learning, 43, 240-244. https://fs.unm.edu/NCML_2/index.php/NCML/article/view/84

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