An Interpretation of the Surface Temperature Time Series through Fuzzy Measures
This paper reports a study to interpret the surface temperature based on time series and fuzzy measures. We demonstrated a method to identify the uncertainty around the surface temperature data concerning the summer monsoon in India. The random variables were standardized, and the Dempster-Shafer Th...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/5/475 |
| _version_ | 1797601108187676672 |
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| author | Rashmi Rekha Devi Surajit Chattopadhyay |
| author_facet | Rashmi Rekha Devi Surajit Chattopadhyay |
| author_sort | Rashmi Rekha Devi |
| collection | DOAJ |
| description | This paper reports a study to interpret the surface temperature based on time series and fuzzy measures. We demonstrated a method to identify the uncertainty around the surface temperature data concerning the summer monsoon in India. The random variables were standardized, and the Dempster-Shafer Theory was used to generate common goals. Two criteria, represented as fuzzy numbers, were used for this purpose. We constructed three polynomials to illustrate a functional connection between time series and the measure of joint belief. The analysis of the obtained results showed that the certainty increased over time. It confirmed that the degree of the evidence is a more predictable parameter at a more extended period. |
| first_indexed | 2024-03-11T03:56:47Z |
| format | Article |
| id | doaj.art-7e07127e32a446dd86a2c8a063da6b2d |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T03:56:47Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-7e07127e32a446dd86a2c8a063da6b2d2023-11-18T00:27:48ZengMDPI AGAxioms2075-16802023-05-0112547510.3390/axioms12050475An Interpretation of the Surface Temperature Time Series through Fuzzy MeasuresRashmi Rekha Devi0Surajit Chattopadhyay1Department of Mathematics, Amity University, Major Arterial Road, Action Area II, Rajarhat, New Town, Kolkata 700135, IndiaDepartment of Mathematics, Amity University, Major Arterial Road, Action Area II, Rajarhat, New Town, Kolkata 700135, IndiaThis paper reports a study to interpret the surface temperature based on time series and fuzzy measures. We demonstrated a method to identify the uncertainty around the surface temperature data concerning the summer monsoon in India. The random variables were standardized, and the Dempster-Shafer Theory was used to generate common goals. Two criteria, represented as fuzzy numbers, were used for this purpose. We constructed three polynomials to illustrate a functional connection between time series and the measure of joint belief. The analysis of the obtained results showed that the certainty increased over time. It confirmed that the degree of the evidence is a more predictable parameter at a more extended period.https://www.mdpi.com/2075-1680/12/5/475Dempster-Shafer Theoryfuzzy setjoint belief measurenortheast Indiasurface temperature |
| spellingShingle | Rashmi Rekha Devi Surajit Chattopadhyay An Interpretation of the Surface Temperature Time Series through Fuzzy Measures Axioms Dempster-Shafer Theory fuzzy set joint belief measure northeast India surface temperature |
| title | An Interpretation of the Surface Temperature Time Series through Fuzzy Measures |
| title_full | An Interpretation of the Surface Temperature Time Series through Fuzzy Measures |
| title_fullStr | An Interpretation of the Surface Temperature Time Series through Fuzzy Measures |
| title_full_unstemmed | An Interpretation of the Surface Temperature Time Series through Fuzzy Measures |
| title_short | An Interpretation of the Surface Temperature Time Series through Fuzzy Measures |
| title_sort | interpretation of the surface temperature time series through fuzzy measures |
| topic | Dempster-Shafer Theory fuzzy set joint belief measure northeast India surface temperature |
| url | https://www.mdpi.com/2075-1680/12/5/475 |
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