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...
Ausführliche Beschreibung
Autor*in: |
Shazia Rana [verfasserIn] Muhammad Saeed [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
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2022 |
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Übergeordnetes Werk: |
In: Neutrosophic Sets and Systems - University of New Mexico, 2016, 51(2022), Seite 455-471 |
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Übergeordnetes Werk: |
volume:51 ; year:2022 ; pages:455-471 |
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DOI / URN: |
10.5281/zenodo.7135347 |
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Katalog-ID: |
DOAJ029116597 |
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10.5281/zenodo.7135347 doi (DE-627)DOAJ029116597 (DE-599)DOAJ0c9bc3b50450442fb6fe832210255eba DE-627 ger DE-627 rakwb eng QA1-939 QA75.5-76.95 Shazia Rana verfasserin aut PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. pctlhs-matrix time-layers level-cuts sub-level cuts sub-sub- level cuts combined event-view separate event-view partial event view aggregation-operators Mathematics Electronic computers. Computer science Muhammad Saeed verfasserin aut In Neutrosophic Sets and Systems University of New Mexico, 2016 51(2022), Seite 455-471 (DE-627)1760646911 2331608X nnns volume:51 year:2022 pages:455-471 https://doi.org/10.5281/zenodo.7135347 kostenfrei https://doaj.org/article/0c9bc3b50450442fb6fe832210255eba kostenfrei http://fs.unm.edu/NSS/PCTLHSMatrix29.pdf kostenfrei https://doaj.org/toc/2331-6055 Journal toc kostenfrei https://doaj.org/toc/2331-608X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 51 2022 455-471 |
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10.5281/zenodo.7135347 doi (DE-627)DOAJ029116597 (DE-599)DOAJ0c9bc3b50450442fb6fe832210255eba DE-627 ger DE-627 rakwb eng QA1-939 QA75.5-76.95 Shazia Rana verfasserin aut PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. pctlhs-matrix time-layers level-cuts sub-level cuts sub-sub- level cuts combined event-view separate event-view partial event view aggregation-operators Mathematics Electronic computers. Computer science Muhammad Saeed verfasserin aut In Neutrosophic Sets and Systems University of New Mexico, 2016 51(2022), Seite 455-471 (DE-627)1760646911 2331608X nnns volume:51 year:2022 pages:455-471 https://doi.org/10.5281/zenodo.7135347 kostenfrei https://doaj.org/article/0c9bc3b50450442fb6fe832210255eba kostenfrei http://fs.unm.edu/NSS/PCTLHSMatrix29.pdf kostenfrei https://doaj.org/toc/2331-6055 Journal toc kostenfrei https://doaj.org/toc/2331-608X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 51 2022 455-471 |
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10.5281/zenodo.7135347 doi (DE-627)DOAJ029116597 (DE-599)DOAJ0c9bc3b50450442fb6fe832210255eba DE-627 ger DE-627 rakwb eng QA1-939 QA75.5-76.95 Shazia Rana verfasserin aut PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. pctlhs-matrix time-layers level-cuts sub-level cuts sub-sub- level cuts combined event-view separate event-view partial event view aggregation-operators Mathematics Electronic computers. Computer science Muhammad Saeed verfasserin aut In Neutrosophic Sets and Systems University of New Mexico, 2016 51(2022), Seite 455-471 (DE-627)1760646911 2331608X nnns volume:51 year:2022 pages:455-471 https://doi.org/10.5281/zenodo.7135347 kostenfrei https://doaj.org/article/0c9bc3b50450442fb6fe832210255eba kostenfrei http://fs.unm.edu/NSS/PCTLHSMatrix29.pdf kostenfrei https://doaj.org/toc/2331-6055 Journal toc kostenfrei https://doaj.org/toc/2331-608X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 51 2022 455-471 |
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10.5281/zenodo.7135347 doi (DE-627)DOAJ029116597 (DE-599)DOAJ0c9bc3b50450442fb6fe832210255eba DE-627 ger DE-627 rakwb eng QA1-939 QA75.5-76.95 Shazia Rana verfasserin aut PCTLHS-Matrix, Time-based Level Cuts, Operators, and unified time-layer health state Model 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. pctlhs-matrix time-layers level-cuts sub-level cuts sub-sub- level cuts combined event-view separate event-view partial event view aggregation-operators Mathematics Electronic computers. Computer science Muhammad Saeed verfasserin aut In Neutrosophic Sets and Systems University of New Mexico, 2016 51(2022), Seite 455-471 (DE-627)1760646911 2331608X nnns volume:51 year:2022 pages:455-471 https://doi.org/10.5281/zenodo.7135347 kostenfrei https://doaj.org/article/0c9bc3b50450442fb6fe832210255eba kostenfrei http://fs.unm.edu/NSS/PCTLHSMatrix29.pdf kostenfrei https://doaj.org/toc/2331-6055 Journal toc kostenfrei https://doaj.org/toc/2331-608X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 51 2022 455-471 |
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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. |
abstractGer |
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. |
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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. |
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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. 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