Integrating TOPSIS and ELECTRE-Ⅰ methods with cubic m-polar fuzzy sets and its application to the diagnosis of psychiatric disorders
Many real-world decision-making issues frequently involve competing sets of criteria, uncertainty, and inaccurate information. Some of these require the involvement of a group of decision-makers, where it is necessary to reduce the various available individual preferences to a single collective pref...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023601?viewType=HTML |
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| author | Mohammed M. Ali Al-Shamiri Adeel Farooq Muhammad Nabeel Ghous Ali Dragan Pamučar |
| author_facet | Mohammed M. Ali Al-Shamiri Adeel Farooq Muhammad Nabeel Ghous Ali Dragan Pamučar |
| author_sort | Mohammed M. Ali Al-Shamiri |
| collection | DOAJ |
| description | Many real-world decision-making issues frequently involve competing sets of criteria, uncertainty, and inaccurate information. Some of these require the involvement of a group of decision-makers, where it is necessary to reduce the various available individual preferences to a single collective preference. To enhance the effectiveness of multi-criteria decisions, multi-criteria decision-making is a popular decision-making technique that makes the procedure more precise, reasonable, and efficient. The "Technique for Order Preference by Similarity to Ideal Solution (TOPSIS)" and "Elimination and Choice Transforming Reality (ELECTRE)" are prominent ranking methods and widely used in the multi-criteria decision-making to solve complicated decision-making problems. In this study, two $ m $-polar fuzzy set-based ranking methods are proposed by extending the ELECTRE-Ⅰ and TOPSIS approaches equipped with cubic $ m $-polar fuzzy (C$ m $PF) sets, where the experts provide assessment results on feasible alternatives through a C$ m $PF decision matrix. The first proposed method, C$ m $PF-TOPSIS, focuses on the alternative that is closest to a C$ m $PF positive ideal solution and farthest away from the C$ m $PF negative ideal solution. The Euclidean and normalized Euclidean distances are used to determine the proximity of an alternative to ideal solutions. In contrast, the second developed method is C$ m $PF-ELECTRE-Ⅰ which uses an outranking directed decision graph to determine the optimal alternative, which entirely depends on the C$ m $PF concordance and discordance sets. Furthermore, a practical case study is carried out in the diagnosis of impulse control disorders to illustrate the feasibility and applicability of the proposed methods. Finally, a comparative analysis is performed to demonstrate the veracity, superiority, and effectiveness of the proposed methods. |
| first_indexed | 2024-04-09T19:10:03Z |
| format | Article |
| id | doaj.art-3c93573420d941d18b4ff44382907885 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T19:10:03Z |
| publishDate | 2023-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-3c93573420d941d18b4ff443829078852023-04-07T01:02:20ZengAIMS PressAIMS Mathematics2473-69882023-03-0185118751191510.3934/math.2023601Integrating TOPSIS and ELECTRE-Ⅰ methods with cubic m-polar fuzzy sets and its application to the diagnosis of psychiatric disordersMohammed M. Ali Al-Shamiri 0Adeel Farooq1Muhammad Nabeel 2Ghous Ali3Dragan Pamučar41. Department of Mathematics, Faculty of Science and Arts, Mahayl Assir, King Khalid University, Abha, Saudi Arabia 2. Department of Mathematics and Computer, Faculty of Science, Ibb University, Ibb, Yemen3. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan3. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan4. Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan5. Department of Operations Research and Statistics, Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia 6. College of Engineering, Yuan Ze University, TaiwanMany real-world decision-making issues frequently involve competing sets of criteria, uncertainty, and inaccurate information. Some of these require the involvement of a group of decision-makers, where it is necessary to reduce the various available individual preferences to a single collective preference. To enhance the effectiveness of multi-criteria decisions, multi-criteria decision-making is a popular decision-making technique that makes the procedure more precise, reasonable, and efficient. The "Technique for Order Preference by Similarity to Ideal Solution (TOPSIS)" and "Elimination and Choice Transforming Reality (ELECTRE)" are prominent ranking methods and widely used in the multi-criteria decision-making to solve complicated decision-making problems. In this study, two $ m $-polar fuzzy set-based ranking methods are proposed by extending the ELECTRE-Ⅰ and TOPSIS approaches equipped with cubic $ m $-polar fuzzy (C$ m $PF) sets, where the experts provide assessment results on feasible alternatives through a C$ m $PF decision matrix. The first proposed method, C$ m $PF-TOPSIS, focuses on the alternative that is closest to a C$ m $PF positive ideal solution and farthest away from the C$ m $PF negative ideal solution. The Euclidean and normalized Euclidean distances are used to determine the proximity of an alternative to ideal solutions. In contrast, the second developed method is C$ m $PF-ELECTRE-Ⅰ which uses an outranking directed decision graph to determine the optimal alternative, which entirely depends on the C$ m $PF concordance and discordance sets. Furthermore, a practical case study is carried out in the diagnosis of impulse control disorders to illustrate the feasibility and applicability of the proposed methods. Finally, a comparative analysis is performed to demonstrate the veracity, superiority, and effectiveness of the proposed methods.https://www.aimspress.com/article/doi/10.3934/math.2023601?viewType=HTMLcmpf setmulti-criteria decision-makingcmpf-electre-ⅰ approachcmpf-topsis approachcomparative analysis |
| spellingShingle | Mohammed M. Ali Al-Shamiri Adeel Farooq Muhammad Nabeel Ghous Ali Dragan Pamučar Integrating TOPSIS and ELECTRE-Ⅰ methods with cubic m-polar fuzzy sets and its application to the diagnosis of psychiatric disorders AIMS Mathematics cmpf set multi-criteria decision-making cmpf-electre-ⅰ approach cmpf-topsis approach comparative analysis |
| title | Integrating TOPSIS and ELECTRE-Ⅰ methods with cubic m-polar fuzzy sets and its application to the diagnosis of psychiatric disorders |
| title_full | Integrating TOPSIS and ELECTRE-Ⅰ methods with cubic m-polar fuzzy sets and its application to the diagnosis of psychiatric disorders |
| title_fullStr | Integrating TOPSIS and ELECTRE-Ⅰ methods with cubic m-polar fuzzy sets and its application to the diagnosis of psychiatric disorders |
| title_full_unstemmed | Integrating TOPSIS and ELECTRE-Ⅰ methods with cubic m-polar fuzzy sets and its application to the diagnosis of psychiatric disorders |
| title_short | Integrating TOPSIS and ELECTRE-Ⅰ methods with cubic m-polar fuzzy sets and its application to the diagnosis of psychiatric disorders |
| title_sort | integrating topsis and electre i methods with cubic m polar fuzzy sets and its application to the diagnosis of psychiatric disorders |
| topic | cmpf set multi-criteria decision-making cmpf-electre-ⅰ approach cmpf-topsis approach comparative analysis |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023601?viewType=HTML |
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