PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model
This article aims to introduce a unique hypersoft time-based matrix model that organizes and classifies higher-dimensional information scattered in numerous forms and vague appearances varying on specific time levels. Classical matrices as rank-2 tensors single-handedly relate equations and variable...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2022-09-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/PCTLHSMatrix29.pdf |
| _version_ | 1817978142567956480 |
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| author | Shazia Rana Muhammad Saeed |
| author_facet | Shazia Rana Muhammad Saeed |
| author_sort | Shazia Rana |
| collection | DOAJ |
| description | This article aims to introduce a unique hypersoft time-based matrix model that organizes and classifies higher-dimensional information scattered in numerous forms and vague appearances varying on specific time levels. Classical matrices as rank-2 tensors single-handedly relate equations and variables across rows and columns are a limited approach to organizing higher-dimensional information. This Plithogenic Crisp Time Leveled Hypersoft Matrix (PCTLHS-Matrix) model is designed to sort the higher dimensional information flowing in parallel time layers as a combined view of events. This matrix has several parallel layers of time. The time-based level cuts as time layers are introduced to present an explicit view of information on certain required time levels as a separate reality. The sub-layers are formulated as sub-level cuts that represent a partial view of the event or reality. Further subdividing these sub-levels creates sub-sub-level cuts, which are the smallest focused partial view of the event, serving the purpose of zooming. These Level cuts are utilized to construct local aggregation operators for PCTLHSMatrix. And the concept of timelessness is introduced by unifying the time levels of the universe. This means all attributes that exist in various time levels are merged to exist in a unified time called the unified time layer. In this way, the attributes are focused and the layers of time are merged as if there is no time. The particular types of time layers are unified by local operators to introduce the concept of timelessness that is obtained by unifying time levels. Finally, for a precise description of the model, a numerical example is constructed by assuming a classification of various health states with COVID-19 patients in a hospital. Intuitionistic Fuzzy / Neutrosophic / and other fuzzy-extension IndetermSoft Set & IndetermHyperSoft Set are presented together with their applications. |
| first_indexed | 2024-04-13T22:25:21Z |
| format | Article |
| id | doaj.art-0c9bc3b50450442fb6fe832210255eba |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-13T22:25:21Z |
| publishDate | 2022-09-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-0c9bc3b50450442fb6fe832210255eba2022-12-22T02:27:04ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2022-09-015145547110.5281/zenodo.7135347PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state ModelShazia RanaMuhammad Saeed This article aims to introduce a unique hypersoft time-based matrix model that organizes and classifies higher-dimensional information scattered in numerous forms and vague appearances varying on specific time levels. Classical matrices as rank-2 tensors single-handedly relate equations and variables across rows and columns are a limited approach to organizing higher-dimensional information. This Plithogenic Crisp Time Leveled Hypersoft Matrix (PCTLHS-Matrix) model is designed to sort the higher dimensional information flowing in parallel time layers as a combined view of events. This matrix has several parallel layers of time. The time-based level cuts as time layers are introduced to present an explicit view of information on certain required time levels as a separate reality. The sub-layers are formulated as sub-level cuts that represent a partial view of the event or reality. Further subdividing these sub-levels creates sub-sub-level cuts, which are the smallest focused partial view of the event, serving the purpose of zooming. These Level cuts are utilized to construct local aggregation operators for PCTLHSMatrix. And the concept of timelessness is introduced by unifying the time levels of the universe. This means all attributes that exist in various time levels are merged to exist in a unified time called the unified time layer. In this way, the attributes are focused and the layers of time are merged as if there is no time. The particular types of time layers are unified by local operators to introduce the concept of timelessness that is obtained by unifying time levels. Finally, for a precise description of the model, a numerical example is constructed by assuming a classification of various health states with COVID-19 patients in a hospital. Intuitionistic Fuzzy / Neutrosophic / and other fuzzy-extension IndetermSoft Set & IndetermHyperSoft Set are presented together with their applications.http://fs.unm.edu/NSS/PCTLHSMatrix29.pdfpctlhs-matrixtime-layerslevel-cutssub-level cutssub-sub- level cutscombined event-viewseparate event-viewpartial event viewaggregation-operators |
| spellingShingle | Shazia Rana Muhammad Saeed PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model Neutrosophic Sets and Systems pctlhs-matrix time-layers level-cuts sub-level cuts sub-sub- level cuts combined event-view separate event-view partial event view aggregation-operators |
| title | PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model |
| title_full | PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model |
| title_fullStr | PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model |
| title_full_unstemmed | PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model |
| title_short | PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model |
| title_sort | pctlhs matrix time based level cuts operators and unified time layer health state model |
| topic | pctlhs-matrix time-layers level-cuts sub-level cuts sub-sub- level cuts combined event-view separate event-view partial event view aggregation-operators |
| url | http://fs.unm.edu/NSS/PCTLHSMatrix29.pdf |
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