Introduction to Collective Neutrosophy and Collective n-ary Neutrosophy

Abstract

 This paper introduces the novel concepts of Collective Neutrosophy and Collective n-ary 
Neutrosophy as extensions of Smarandache’s foundational theories of Neutrosophy and n-ary 
Neutrosophy. While classical Neutrosophy generalizes traditional dialectical thinking by 
incorporating neutralities into the dynamics of opposites, the proposed collective forms address 
interactions at the group level, where multiple agents and ideas simultaneously engage in 
opposition, cooperation, or neutrality. Applications in geopolitics, philosophy, corporate 
ecosystems, and cultural studies are discussed, alongside a theoretical framework for modeling 
complex relational dynamics. Diagrams illustrating single, collective, and collective n-ary 
neutrosophic structures are proposed to visualize these concepts.

DOI: 10.5281/zenodo.15308739