A Brief Comparative Study on HyperStructure, SuperHyperStructure, and n- Super SuperHyperStructure

Abstract: This article compares Hyperfunction, Extra Hyperfunction, Super Hyperfunction, and Extra Super Hyperfunction depending on the nth-PowerSet. The nth-PowerSet reflects many real-world problems because any ontological object, like a system, organization, country, or entity, can be represented by systems and subsystems by the nth-PowerSet. This article will review the concepts and investigate some theorems and examples. Keywords: nth-PowerSet, HyperFunction, Extra HyperFunction, SuperHyperFunction, and Extra SuperHyperFunction.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-03-30
DOI
https://doi.org/10.5281/zenodo.15107294
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

A Brief Comparative Study on HyperStructure, SuperHyperStructure, and n- Super SuperHyperStructure

Zenodo (CERN European Organization for Nuclear Research)
Fuzzy and Soft Set Theory
article

A Brief Comparative Study on HyperStructure, SuperHyperStructure, and n- Super SuperHyperStructure

article en

Abstract

Abstract: This article compares Hyperfunction, Extra Hyperfunction, Super Hyperfunction, and Extra Super Hyperfunction depending on the nth-PowerSet. The nth-PowerSet reflects many real-world problems because any ontological object, like a system, organization, country, or entity, can be represented by systems and subsystems by the nth-PowerSet. This article will review the concepts and investigate some theorems and examples. Keywords: nth-PowerSet, HyperFunction, Extra HyperFunction, SuperHyperFunction, and Extra SuperHyperFunction.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 44%
Fuzzy and Soft Set Theory
DOIOpen Access PDFOpenAlex
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A Brief Comparative Study on HyperStructure, SuperHyperStructure, and n- Super SuperHyperStructure · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS