Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model

Authors

  • Maikel Y. Leyva Vázquez Universidad Bolivariana del Ecuador, Duran, Guayas Ecuador; Universidad de Guayaquil, Guayas Ecuador;
  • Florentin Smarandache University of New Mexico; Mathematics, Physics, and Natural Science Division, Gallup, NM 87301, USA;

Keywords:

Neutrosophic Logic; MultiPerspectivism; Latin American Philosophy; Decolonial Theory; MultiNeutrosophic Sets; Similarity Function; Legal Pluralism; Perspectivism

Abstract

this paper addresses the challenge of formally modeling the complex, often contradictory, 
knowledge systems inherent in Latin American decolonial thought. It introduces Neutrosophic 
MultiPerspectivism, a framework that operationalizes philosophical perspectivism using 
neutrosophic logic. We posit that knowledge is situated and truth is mediated by the observer's 
viewpoint—a concept with roots in Nietzschean philosophy but which finds distinct expression in 
Amerindian cosmologies and pluralistic legal systems. The primary method involves proposing a 
"Neutrosophic MultiPerspectivism Model," which uses MultiNeutrosophic sets to represent 
subjective perspectives as a triplet of truth, indeterminacy, and falsity sequences ⟨T, I, F⟩. A key 
result is the development of a similarity function that quantifies the affinity between different 
perspectives, transforming qualitative viewpoints into analyzable data. This model is applied to a 
case study of a legal land dispute, where it successfully reveals hidden structural similarities—such 
as a shared absolutist reasoning style between opposing parties—and identifies potential strategic 
alliances. The main conclusion is that neutrosophic logic provides a robust mathematical tool to 
navigate the ambiguity and plurality of perspectivist realities, moving beyond mere 
acknowledgment of difference to its formal analysis and potential integration. 

 

DOI: 10.5281/zenodo.15774129

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Published

2025-09-15

How to Cite

Maikel Y. Leyva Vázquez, & Florentin Smarandache. (2025). Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model . Neutrosophic Sets and Systems, 88, 123-150. https://fs.unm.edu/nss8/index.php/111/article/view/6636

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