A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations
In many of our real life problems, we often come across situations where there is no information about the priority weights which make it difficult to analyze the objects under consideration. Instead of employing simple fuzzy sets, “interval type-2 trapezoidal pythagorean fuzzy preference relations...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-01-01
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| Series: | Operations Research Perspectives |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214716022000306 |
| _version_ | 1811178594772189184 |
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| author | Muhammad Touqeer Sadaf Shaheen Tahira Jabeen Saleh Al Sulaie Dumitru Baleanu Ali Ahmadian |
| author_facet | Muhammad Touqeer Sadaf Shaheen Tahira Jabeen Saleh Al Sulaie Dumitru Baleanu Ali Ahmadian |
| author_sort | Muhammad Touqeer |
| collection | DOAJ |
| description | In many of our real life problems, we often come across situations where there is no information about the priority weights which make it difficult to analyze the objects under consideration. Instead of employing simple fuzzy sets, “interval type-2 trapezoidal pythagorean fuzzy preference relations (IT2TrPFPRs)” can be used which have better representational power and ability to cope with uncertain situations. The approach discussed in this article is an effective tool for managing multiple criteria group decision-making situations with completely unknown priority weights modeled as IT2TrPFPRs. To aggregate the opinion of multiple decision-makers, a hybrid averaging operation based on weighted averaging and ordered weighted averaging (OWA) operations is employed for a collective decision environment. To calculate the fuzzy priority weight vectors in case of completely unknown environment, we construct a non-linear optimization model. An integrated optimization model based on a new signed distance-based closeness coefficients approach is employed to determine the priority ranking of alternatives. Feasibility of the proposed technique is discussed with an implementation of patient centered medicine system for choosing the appropriate treatment method. Moreover, a comparative investigation with previous approaches is conducted to demonstrate the effectiveness of the given approach. |
| first_indexed | 2024-04-11T06:22:11Z |
| format | Article |
| id | doaj.art-c60d76a394b344568729e104a089a731 |
| institution | Directory Open Access Journal |
| issn | 2214-7160 |
| language | English |
| last_indexed | 2024-04-11T06:22:11Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Operations Research Perspectives |
| spelling | doaj.art-c60d76a394b344568729e104a089a7312022-12-22T04:40:33ZengElsevierOperations Research Perspectives2214-71602022-01-019100259A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relationsMuhammad Touqeer0Sadaf Shaheen1Tahira Jabeen2Saleh Al Sulaie3Dumitru Baleanu4Ali Ahmadian5Department of Basic Sciences, University of Engineering and Technology, Taxila, PakistanDepartment of Basic Sciences, University of Engineering and Technology, Taxila, PakistanInternational Islamic University, Islamabad, PakistanDepartment of Industrial Engineering, College of Engineering in Al-Qunfudah, Umm Al-Qura University, Makkah 21955, Saudi ArabiaDepartment of Mathematics, Cankaya University, Ankara, Turkey; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Department of Medical Research, China Medical University, Taichung, Taiwan; Corresponding author at: Department of Mathematics, Cankaya University, Ankara, Turkey.Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Decision Lab, Mediterranea University of Reggio Calabria, Italy; Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey; Corresponding author at: Decision Lab, Mediterranea University of Reggio Calabria, Italy.In many of our real life problems, we often come across situations where there is no information about the priority weights which make it difficult to analyze the objects under consideration. Instead of employing simple fuzzy sets, “interval type-2 trapezoidal pythagorean fuzzy preference relations (IT2TrPFPRs)” can be used which have better representational power and ability to cope with uncertain situations. The approach discussed in this article is an effective tool for managing multiple criteria group decision-making situations with completely unknown priority weights modeled as IT2TrPFPRs. To aggregate the opinion of multiple decision-makers, a hybrid averaging operation based on weighted averaging and ordered weighted averaging (OWA) operations is employed for a collective decision environment. To calculate the fuzzy priority weight vectors in case of completely unknown environment, we construct a non-linear optimization model. An integrated optimization model based on a new signed distance-based closeness coefficients approach is employed to determine the priority ranking of alternatives. Feasibility of the proposed technique is discussed with an implementation of patient centered medicine system for choosing the appropriate treatment method. Moreover, a comparative investigation with previous approaches is conducted to demonstrate the effectiveness of the given approach.http://www.sciencedirect.com/science/article/pii/S2214716022000306“Interval type 2 trapezoidal pythagorean fuzzy preference relation” (IT2TrPFPR)“Hybrid averaging” (HA) operation“Ordered weighted averaging (OWA) operation”“Signed-based distance closeness coefficient” (SDBCC) |
| spellingShingle | Muhammad Touqeer Sadaf Shaheen Tahira Jabeen Saleh Al Sulaie Dumitru Baleanu Ali Ahmadian A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations Operations Research Perspectives “Interval type 2 trapezoidal pythagorean fuzzy preference relation” (IT2TrPFPR) “Hybrid averaging” (HA) operation “Ordered weighted averaging (OWA) operation” “Signed-based distance closeness coefficient” (SDBCC) |
| title | A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations |
| title_full | A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations |
| title_fullStr | A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations |
| title_full_unstemmed | A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations |
| title_short | A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations |
| title_sort | signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type 2 trapezoidal pythagorean fuzzy preference relations |
| topic | “Interval type 2 trapezoidal pythagorean fuzzy preference relation” (IT2TrPFPR) “Hybrid averaging” (HA) operation “Ordered weighted averaging (OWA) operation” “Signed-based distance closeness coefficient” (SDBCC) |
| url | http://www.sciencedirect.com/science/article/pii/S2214716022000306 |
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