SuperHyperFunction, SuperHyperStructure, Neutrosophic SuperHyperFunction and Neutrosophic SuperHyperStructure: Current understanding and future directions

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DOI:

https://doi.org/10.61356/j.nswa.2023.115

Keywords:

n-th PowerSet, Classical Function, HyperFunction, SuperFunction, SuperHyperFunction, Classical Operation, HyperOperation, SuperHyperOperation, Classical Axiom, HyperAxiom, SuperAxiom, SuperHyperAxiom, Classical Algebra, HyperAlgebra, SuperHyperAlgebra, Neutrosophic SuperHyperAlgebra, SuperHyperGraph, SuperHyperTopology, Classical Structure, HyperStructure, SuperHyperStructure, Neutrosophic SuperHyperStructure

Abstract

The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/propositions, etc.) is formed by sub-systems, which in their turn by sub-sub-systems, and so on. We prove that the SuperHyperFunction is a generalization of classical Function, SuperFunction, and HyperFunction. And the SuperHyperAlgebra, SuperHyperGraph are part of the SuperHyperStructure. Almost all structures in our real world are Neutrosophic SuperHyperStructures since they have indeterminate/incomplete/uncertain/conflicting data.

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Published

2023-12-08

How to Cite

Smarandache, F. (2023). SuperHyperFunction, SuperHyperStructure, Neutrosophic SuperHyperFunction and Neutrosophic SuperHyperStructure: Current understanding and future directions. Neutrosophic Systems With Applications, 12, 68–76. https://doi.org/10.61356/j.nswa.2023.115

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