Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2023
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.
Publication Title
Neutrosophic Systems with Applications
Volume
12
Language (ISO)
English
Keywords
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
Recommended Citation
Smarandache, Florentin.
"SuperHyperFunction, SuperHyperStructure, Neutrosophic SuperHyperFunction and Neutrosophic SuperHyperStructure: Current understanding and future directions."
Neutrosophic Systems with Applications
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
