Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components
The newly introduced theories, proposed as extensions of the fuzzy theory, such as the Neutrosophic, Pythagorean, Spherical, Picture, Cubic theories, and their numerous hybrid forms, are criticized by the authors of [1]. In this paper we respond to their critics with respect to the neutrosophic theo...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2021-12-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/PracticalIndependentNeutrosophic36.pdf |
| _version_ | 1811337493630418944 |
|---|---|
| author | Florentin Smarandache |
| author_facet | Florentin Smarandache |
| author_sort | Florentin Smarandache |
| collection | DOAJ |
| description | The newly introduced theories, proposed as extensions of the fuzzy theory, such as the Neutrosophic, Pythagorean, Spherical, Picture, Cubic theories, and their numerous hybrid forms, are criticized by the authors of [1]. In this paper we respond to their critics with respect to the neutrosophic theories and show that the DST, that they want to replace the A-IFS with, has many flaws. Their misunderstanding, with respect to the partial and total independence of the neutrosophic components, is that in the framework of the neutrosophic theories we deal with a MultiVariate Truth-Value (truth upon many independent random variables) as in our real-life world, not with a UniVariate Truth-Value (truth upon only one random variable) as they believe. About the membership degrees outside of the interval [0, 1], which are now in the arXiv and HAL mainstream, it is normal that somebody who over-works (works overtime) to have an over-membership (i.e., membership degree above 1) to be distinguished from those who do not work overtime (whose membership degree is between 0 and 1). And, similarly, a negative employee (that who does only damages to the company) to have a negative membership (i.e., membership degree below 0) in order to distinguish him from the positive employees (those whose membership degree is above 0). There are elementary practical applications in this paper that allow us to think out of box (in this case the box is the interval [0, 1]). |
| first_indexed | 2024-04-13T17:55:41Z |
| format | Article |
| id | doaj.art-fc2f68ca4e5942fd9e2de443deab2e8d |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-13T17:55:41Z |
| publishDate | 2021-12-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-fc2f68ca4e5942fd9e2de443deab2e8d2022-12-22T02:36:31ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-12-014755857210.5281/zenodo.5787622Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset ComponentsFlorentin SmarandacheThe newly introduced theories, proposed as extensions of the fuzzy theory, such as the Neutrosophic, Pythagorean, Spherical, Picture, Cubic theories, and their numerous hybrid forms, are criticized by the authors of [1]. In this paper we respond to their critics with respect to the neutrosophic theories and show that the DST, that they want to replace the A-IFS with, has many flaws. Their misunderstanding, with respect to the partial and total independence of the neutrosophic components, is that in the framework of the neutrosophic theories we deal with a MultiVariate Truth-Value (truth upon many independent random variables) as in our real-life world, not with a UniVariate Truth-Value (truth upon only one random variable) as they believe. About the membership degrees outside of the interval [0, 1], which are now in the arXiv and HAL mainstream, it is normal that somebody who over-works (works overtime) to have an over-membership (i.e., membership degree above 1) to be distinguished from those who do not work overtime (whose membership degree is between 0 and 1). And, similarly, a negative employee (that who does only damages to the company) to have a negative membership (i.e., membership degree below 0) in order to distinguish him from the positive employees (those whose membership degree is above 0). There are elementary practical applications in this paper that allow us to think out of box (in this case the box is the interval [0, 1]).http://fs.unm.edu/NSS/PracticalIndependentNeutrosophic36.pdfneutrosophy; neutrosophic componentsneutrosophic offset componentstrivariate truth-valuemultivariate truth-valueunivariate truth-value |
| spellingShingle | Florentin Smarandache Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components Neutrosophic Sets and Systems neutrosophy; neutrosophic components neutrosophic offset components trivariate truth-value multivariate truth-value univariate truth-value |
| title | Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components |
| title_full | Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components |
| title_fullStr | Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components |
| title_full_unstemmed | Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components |
| title_short | Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components |
| title_sort | practical applications of the independent neutrosophic components and of the neutrosophic offset components |
| topic | neutrosophy; neutrosophic components neutrosophic offset components trivariate truth-value multivariate truth-value univariate truth-value |
| url | http://fs.unm.edu/NSS/PracticalIndependentNeutrosophic36.pdf |
| work_keys_str_mv | AT florentinsmarandache practicalapplicationsoftheindependentneutrosophiccomponentsandoftheneutrosophicoffsetcomponents |