| Title: | Nature set : qualitative and quantitative representation of elements |
|---|
| Authors: | ID Samanta, Sovan (Author)
ID Das, Kousik (Author)
ID Dubey, Vivek Kumar (Author)
ID Mršić, Leo (Author)
ID Kalampakas, Antonios (Author) |
|---|
| Files: |  URL - Source URL, visit https://ojs.wiserpub.com/index.php/CM/article/view/7742/3559
 PDF - Presentation file, download (1,79 MB)
MD5: 958C11ED71D46BC6BA6A216C28ADD093
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  RUDOLFOVO - Rudolfovo - Science and Technology Centre Novo Mesto
|
|---|
| Abstract: | Classical sets are characterized by ‘well-defined’ objects or elements, but this property is relative and linguistic.Classical sets, like the set of natural numbers, are primarily used for counting and measuring quantitative data. However,the literature does not address the differences in the representation of cardinalities between infinite sets and their infinitesubsets. This study investigates the cardinalities of infinite sets and their finite versions (cut cardinalities) within thefiniteapproximation ofthe real number system. Traditional fuzzy sets measure only belongingness or membership values, thuscapturing qualitative data. In the second part, this study introduces nature sets, which describe both the quantitative andqualitative aspects of elements. Quality measurement is provided by various techniques. Several properties of nature setsare examined, and potential applications are highlighted. |
|---|
| Keywords: | nature set, qualitative property, quantitative property, cut cardinality |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 10.09.2025 |
|---|
| Publisher: | Universal Wiser Publisher |
|---|
| Year of publishing: | 2025 |
|---|
| Number of pages: | str. 7041-7057 |
|---|
| Numbering: | Vol. 6, iss. 5 |
|---|
| PID: | 20.500.12556/DiRROS-23753  |
|---|
| UDC: | 51 |
|---|
| ISSN on article: | 2705-1056 |
|---|
| DOI: | 10.37256/cm.6520257742 |
|---|
| COBISS.SI-ID: | 251177731 |
|---|
| Copyright: | ©2025 Sovan Samanta, et al. |
|---|
| Note: | Nasl. z nasl. zaslona;
Opis vira z dne 30. 9. 2025;
Soavtorji: Kousik Das, Vivek Kumar Dubey, Leo Mrsic, Antonios Kalampakas;
|
|---|
| Publication date in DiRROS: | 04.11.2025 |
|---|
| Views: | 175 |
|---|
| Downloads: | 96 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
