A Novel Fuzzy Parameterized Fuzzy Hypersoft Set and Riesz Summability Approach Based Decision Support System for Diagnosis of Heart Diseases
Fuzzy parameterized fuzzy hypersoft set (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set) is more flexible and reliable model as it is c...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Diagnostics |
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| Online Access: | https://www.mdpi.com/2075-4418/12/7/1546 |
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| author | Atiqe Ur Rahman Muhammad Saeed Mazin Abed Mohammed Mustafa Musa Jaber Begonya Garcia-Zapirain |
| author_facet | Atiqe Ur Rahman Muhammad Saeed Mazin Abed Mohammed Mustafa Musa Jaber Begonya Garcia-Zapirain |
| author_sort | Atiqe Ur Rahman |
| collection | DOAJ |
| description | Fuzzy parameterized fuzzy hypersoft set (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set) is more flexible and reliable model as it is capable of tackling features such as the assortment of attributes into their relevant subattributes and the determination of vague nature of parameters and their subparametric-valued tuples by employing the concept of fuzzy parameterization and multiargument approximations, respectively. The existing literature on medical diagnosis paid no attention to such features. Riesz Summability (a classical concept of mathematical analysis) is meant to cope with the sequential nature of data. This study aims to integrate these features collectively by using the concepts of fuzzy parameterized fuzzy hypersoft set (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set) and Riesz Summability. After investigating some properties and aggregations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set, two novel decision-support algorithms are proposed for medical diagnostic decision-making by using the aggregations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set and Riesz mean technique. These algorithms are then validated using a case study based on real attributes and subattributes of the Cleveland dataset for heart-ailments-based diagnosis. The real values of attributes and subattributes are transformed into fuzzy values by using appropriate transformation criteria. It is proved that both algorithms yield the same and reliable results while considering hypersoft settings. In order to judge flexibility and reliability, the preferential aspects of the proposed study are assessed by its structural comparison with some related pre-developed structures. The proposed approach ensures that reliable results can be obtained by taking a smaller number of evaluating traits and their related subvalues-based tuples for the diagnosis of heart-related ailments. |
| first_indexed | 2024-03-09T03:32:40Z |
| format | Article |
| id | doaj.art-a5b5e39762c1410aab6ad3c6159ec4ea |
| institution | Directory Open Access Journal |
| issn | 2075-4418 |
| language | English |
| last_indexed | 2024-03-09T03:32:40Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Diagnostics |
| spelling | doaj.art-a5b5e39762c1410aab6ad3c6159ec4ea2023-12-03T14:53:33ZengMDPI AGDiagnostics2075-44182022-06-01127154610.3390/diagnostics12071546A Novel Fuzzy Parameterized Fuzzy Hypersoft Set and Riesz Summability Approach Based Decision Support System for Diagnosis of Heart DiseasesAtiqe Ur Rahman0Muhammad Saeed1Mazin Abed Mohammed2Mustafa Musa Jaber3Begonya Garcia-Zapirain4Department of Mathematics, University of Management and Technology, Lahore 54000, PakistanDepartment of Mathematics, University of Management and Technology, Lahore 54000, PakistanCollege of Computer Science and Information Technology, University of Anbar, Ramadi 31001, IraqDepartment of Computer Science, Dijlah University College, Baghdad 00964, IraqeVIDA Laboratory, University of Deusto, Avda/Universidades 24, 48007 Bilbao, SpainFuzzy parameterized fuzzy hypersoft set (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set) is more flexible and reliable model as it is capable of tackling features such as the assortment of attributes into their relevant subattributes and the determination of vague nature of parameters and their subparametric-valued tuples by employing the concept of fuzzy parameterization and multiargument approximations, respectively. The existing literature on medical diagnosis paid no attention to such features. Riesz Summability (a classical concept of mathematical analysis) is meant to cope with the sequential nature of data. This study aims to integrate these features collectively by using the concepts of fuzzy parameterized fuzzy hypersoft set (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set) and Riesz Summability. After investigating some properties and aggregations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set, two novel decision-support algorithms are proposed for medical diagnostic decision-making by using the aggregations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>-set and Riesz mean technique. These algorithms are then validated using a case study based on real attributes and subattributes of the Cleveland dataset for heart-ailments-based diagnosis. The real values of attributes and subattributes are transformed into fuzzy values by using appropriate transformation criteria. It is proved that both algorithms yield the same and reliable results while considering hypersoft settings. In order to judge flexibility and reliability, the preferential aspects of the proposed study are assessed by its structural comparison with some related pre-developed structures. The proposed approach ensures that reliable results can be obtained by taking a smaller number of evaluating traits and their related subvalues-based tuples for the diagnosis of heart-related ailments.https://www.mdpi.com/2075-4418/12/7/1546Riesz Summabilitysoft setfuzzy soft setfuzzy parameterized fuzzy soft sethypersoft setdecision-making |
| spellingShingle | Atiqe Ur Rahman Muhammad Saeed Mazin Abed Mohammed Mustafa Musa Jaber Begonya Garcia-Zapirain A Novel Fuzzy Parameterized Fuzzy Hypersoft Set and Riesz Summability Approach Based Decision Support System for Diagnosis of Heart Diseases Diagnostics Riesz Summability soft set fuzzy soft set fuzzy parameterized fuzzy soft set hypersoft set decision-making |
| title | A Novel Fuzzy Parameterized Fuzzy Hypersoft Set and Riesz Summability Approach Based Decision Support System for Diagnosis of Heart Diseases |
| title_full | A Novel Fuzzy Parameterized Fuzzy Hypersoft Set and Riesz Summability Approach Based Decision Support System for Diagnosis of Heart Diseases |
| title_fullStr | A Novel Fuzzy Parameterized Fuzzy Hypersoft Set and Riesz Summability Approach Based Decision Support System for Diagnosis of Heart Diseases |
| title_full_unstemmed | A Novel Fuzzy Parameterized Fuzzy Hypersoft Set and Riesz Summability Approach Based Decision Support System for Diagnosis of Heart Diseases |
| title_short | A Novel Fuzzy Parameterized Fuzzy Hypersoft Set and Riesz Summability Approach Based Decision Support System for Diagnosis of Heart Diseases |
| title_sort | novel fuzzy parameterized fuzzy hypersoft set and riesz summability approach based decision support system for diagnosis of heart diseases |
| topic | Riesz Summability soft set fuzzy soft set fuzzy parameterized fuzzy soft set hypersoft set decision-making |
| url | https://www.mdpi.com/2075-4418/12/7/1546 |
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