An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model
Intuitionistic fuzzy sets cannot consider the degree of indeterminacy (i.e., the degree of hesitation). This study presents an intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model. We examine the proposed model by assuming generalized trapezoidal intui...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-06-01
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| Series: | Healthcare Analytics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2772442523001612 |
| _version_ | 1797382868686602240 |
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| author | Ashish Acharya Sanjoy Mahato Nikhilesh Sil Animesh Mahata Supriya Mukherjee Sanat Kumar Mahato Banamali Roy |
| author_facet | Ashish Acharya Sanjoy Mahato Nikhilesh Sil Animesh Mahata Supriya Mukherjee Sanat Kumar Mahato Banamali Roy |
| author_sort | Ashish Acharya |
| collection | DOAJ |
| description | Intuitionistic fuzzy sets cannot consider the degree of indeterminacy (i.e., the degree of hesitation). This study presents an intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model. We examine the proposed model by assuming generalized trapezoidal intuitionistic fuzzy numbers for the initial condition. Feasible equilibrium points, along with their stability criteria, are evaluated. We describe the characteristics of intuitionistic fuzzy solutions and clarify the difference between strong and weak intuitionistic fuzzy solutions. Numerical simulations are performed in MATLAB to validate the model results. |
| first_indexed | 2024-03-08T21:11:37Z |
| format | Article |
| id | doaj.art-9b0130694f40471c9562dfbd7099a79a |
| institution | Directory Open Access Journal |
| issn | 2772-4425 |
| language | English |
| last_indexed | 2024-03-08T21:11:37Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Healthcare Analytics |
| spelling | doaj.art-9b0130694f40471c9562dfbd7099a79a2023-12-22T05:34:33ZengElsevierHealthcare Analytics2772-44252024-06-015100294An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus modelAshish Acharya0Sanjoy Mahato1Nikhilesh Sil2Animesh Mahata3Supriya Mukherjee4Sanat Kumar Mahato5Banamali Roy6Department of Mathematics, Swami Vivekananda Institute of Modern Science, Karbala More, Kolkata -700103, West Bengal, IndiaDepartment of Mathematics, Sidho-Kanho-Birsha University, Purulia West Bengal, 723104, IndiaDepartment of Mathematics, Narula Institute of Technology, 81, Nilgunj Road, Agarpara, Kolkata -700109, West Bengal, IndiaDepartment of Mathematics, Sri Ramkrishna Sarada Vidya Mahapitha, Kamarpukur, Hooghly, West Bengal -712612, India; Corresponding author.Department of Mathematics, Gurudas College, 1/1, Suren Sarkar Road, Narkeldanga, Kolkata, 700054, West Bengal, IndiaDepartment of Mathematics, Sidho-Kanho-Birsha University, Purulia West Bengal, 723104, IndiaDepartment of Mathematics, Bangabasi Evening College, Kolkata -700 009, West Bengal, IndiaIntuitionistic fuzzy sets cannot consider the degree of indeterminacy (i.e., the degree of hesitation). This study presents an intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model. We examine the proposed model by assuming generalized trapezoidal intuitionistic fuzzy numbers for the initial condition. Feasible equilibrium points, along with their stability criteria, are evaluated. We describe the characteristics of intuitionistic fuzzy solutions and clarify the difference between strong and weak intuitionistic fuzzy solutions. Numerical simulations are performed in MATLAB to validate the model results.http://www.sciencedirect.com/science/article/pii/S2772442523001612Intuitionistic fuzzy differential equationPhosphorus model in lake water and sedimentGeneralized Hukuhara derivativeFuzzy valued functionTrapezoidal intuitionistic fuzzy number |
| spellingShingle | Ashish Acharya Sanjoy Mahato Nikhilesh Sil Animesh Mahata Supriya Mukherjee Sanat Kumar Mahato Banamali Roy An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model Healthcare Analytics Intuitionistic fuzzy differential equation Phosphorus model in lake water and sediment Generalized Hukuhara derivative Fuzzy valued function Trapezoidal intuitionistic fuzzy number |
| title | An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model |
| title_full | An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model |
| title_fullStr | An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model |
| title_full_unstemmed | An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model |
| title_short | An intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model |
| title_sort | intuitionistic fuzzy differential equation approach for the lake water and sediment phosphorus model |
| topic | Intuitionistic fuzzy differential equation Phosphorus model in lake water and sediment Generalized Hukuhara derivative Fuzzy valued function Trapezoidal intuitionistic fuzzy number |
| url | http://www.sciencedirect.com/science/article/pii/S2772442523001612 |
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