Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material Selection
Nowadays, there is an ever-increasing diversity of materials available, each with its own set of features, capabilities, benefits, and drawbacks. There is no single definitive criteria for selecting the perfect biomedical material; designers and engineers must consider a vast array of distinct biome...
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MDPI AG
2022-12-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/12/735 |
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| author | Hafiz Muhammad Athar Farid Rukhsana Kausar Muhammad Riaz Dragan Marinkovic Miomir Stankovic |
| author_facet | Hafiz Muhammad Athar Farid Rukhsana Kausar Muhammad Riaz Dragan Marinkovic Miomir Stankovic |
| author_sort | Hafiz Muhammad Athar Farid |
| collection | DOAJ |
| description | Nowadays, there is an ever-increasing diversity of materials available, each with its own set of features, capabilities, benefits, and drawbacks. There is no single definitive criteria for selecting the perfect biomedical material; designers and engineers must consider a vast array of distinct biomedical material selection qualities. The goal of this study is to establish fairly operational rules and aggregation operators (AOs) in a linear Diophantine fuzzy context. To achieve this goal, we devised innovative operational principles that make use of the notion of proportional distribution to provide an equitable or fair aggregate for linear Diophantine fuzzy numbers (LDFNs). Furthermore, a multi-criteria decision-making (MCDM) approach is built by combining recommended fairly AOs with evaluations from multiple decision-makers (DMs) and partial weight information under the linear Diophantine fuzzy paradigm. The weights of the criterion are determined using incomplete data with the help of a linear programming model. The enhanced technique might be used in the selection of compounds in a variety of applications, including biomedical programmes where the chemicals used in prostheses must have qualities similar to those of human tissues. The approach presented for the femoral component of the hip joint prosthesis may be used by orthopaedists and practitioners who will choose bio-materials. This is due to the fact that biomedical materials are employed in many sections of the human body for various functions. |
| first_indexed | 2024-03-09T17:20:26Z |
| format | Article |
| id | doaj.art-b79a4532c35f4079a100045174f607cc |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T17:20:26Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-b79a4532c35f4079a100045174f607cc2023-11-24T13:16:17ZengMDPI AGAxioms2075-16802022-12-01111273510.3390/axioms11120735Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material SelectionHafiz Muhammad Athar Farid0Rukhsana Kausar1Muhammad Riaz2Dragan Marinkovic3Miomir Stankovic4Department of Mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of Structural Analysis, Technical University Berlin, 10623 Berlin, GermanyMathematical Institute of the Serbian Academy of Sciences and Arts, 11001 Belgrade, SerbiaNowadays, there is an ever-increasing diversity of materials available, each with its own set of features, capabilities, benefits, and drawbacks. There is no single definitive criteria for selecting the perfect biomedical material; designers and engineers must consider a vast array of distinct biomedical material selection qualities. The goal of this study is to establish fairly operational rules and aggregation operators (AOs) in a linear Diophantine fuzzy context. To achieve this goal, we devised innovative operational principles that make use of the notion of proportional distribution to provide an equitable or fair aggregate for linear Diophantine fuzzy numbers (LDFNs). Furthermore, a multi-criteria decision-making (MCDM) approach is built by combining recommended fairly AOs with evaluations from multiple decision-makers (DMs) and partial weight information under the linear Diophantine fuzzy paradigm. The weights of the criterion are determined using incomplete data with the help of a linear programming model. The enhanced technique might be used in the selection of compounds in a variety of applications, including biomedical programmes where the chemicals used in prostheses must have qualities similar to those of human tissues. The approach presented for the femoral component of the hip joint prosthesis may be used by orthopaedists and practitioners who will choose bio-materials. This is due to the fact that biomedical materials are employed in many sections of the human body for various functions.https://www.mdpi.com/2075-1680/11/12/735multi-criteria decision makingaggregation operatorsoptimization modelfairly operationsmaterial selectionbiomedical material |
| spellingShingle | Hafiz Muhammad Athar Farid Rukhsana Kausar Muhammad Riaz Dragan Marinkovic Miomir Stankovic Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material Selection Axioms multi-criteria decision making aggregation operators optimization model fairly operations material selection biomedical material |
| title | Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material Selection |
| title_full | Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material Selection |
| title_fullStr | Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material Selection |
| title_full_unstemmed | Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material Selection |
| title_short | Linear Diophantine Fuzzy Fairly Averaging Operator for Suitable Biomedical Material Selection |
| title_sort | linear diophantine fuzzy fairly averaging operator for suitable biomedical material selection |
| topic | multi-criteria decision making aggregation operators optimization model fairly operations material selection biomedical material |
| url | https://www.mdpi.com/2075-1680/11/12/735 |
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