Intuitionistic Fuzzy Sets with Ordered Pairs and Their Usage in Multi-Attribute Decision Making: A Novel Intuitionistic Fuzzy TOPSIS Method with Ordered Pairs
Intuitionistic Fuzzy Sets with Ordered Pairs (IFSOP) are the recent extension of intuitionistic fuzzy sets by incorporating functional and dysfunctional points of view into the definition of membership functions. This paper extends the Technique of Order Preference Similarity to the Ideal Solution (...
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| Format: | Article |
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MDPI AG
2023-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/18/3867 |
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| author | Cengiz Kahraman Selcuk Cebi Basar Oztaysi Sezi Cevik Onar |
| author_facet | Cengiz Kahraman Selcuk Cebi Basar Oztaysi Sezi Cevik Onar |
| author_sort | Cengiz Kahraman |
| collection | DOAJ |
| description | Intuitionistic Fuzzy Sets with Ordered Pairs (IFSOP) are the recent extension of intuitionistic fuzzy sets by incorporating functional and dysfunctional points of view into the definition of membership functions. This paper extends the Technique of Order Preference Similarity to the Ideal Solution (TOPSIS) method to the Intuitionistic Fuzzy TOPSIS (IF TOPSIS) with ordered pairs method and applies it to a multi-criteria risk-based supplier selection problem under fuzziness. IF TOPSIS with ordered pairs involves finding a positive ideal solution and a negative ideal solution, and measuring the distance between each alternative and these solutions. The final ranking of the alternatives is obtained based on the proportion of distances between the positive and negative ideal solutions. By asking functional and dysfunctional questions in this ranking process, the developed IF TOPSIS with ordered pairs method incorporates the accuracy and consistency of expert judgments, enhancing the decision-making process. A sensitivity analysis is also presented in order to show the robustness of the rankings obtained by IF TOPSIS with ordered pairs. |
| first_indexed | 2024-03-10T22:30:29Z |
| format | Article |
| id | doaj.art-eae60378a8434b64adc83138d6afb68c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T22:30:29Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-eae60378a8434b64adc83138d6afb68c2023-11-19T11:48:42ZengMDPI AGMathematics2227-73902023-09-011118386710.3390/math11183867Intuitionistic Fuzzy Sets with Ordered Pairs and Their Usage in Multi-Attribute Decision Making: A Novel Intuitionistic Fuzzy TOPSIS Method with Ordered PairsCengiz Kahraman0Selcuk Cebi1Basar Oztaysi2Sezi Cevik Onar3Department of Industrial Engineering, Istanbul Technical University, 34367 Istanbul, TürkiyeDepartment of Industrial Engineering, Yildiz Technical University, 34349 Istanbul, TürkiyeDepartment of Industrial Engineering, Istanbul Technical University, 34367 Istanbul, TürkiyeDepartment of Industrial Engineering, Istanbul Technical University, 34367 Istanbul, TürkiyeIntuitionistic Fuzzy Sets with Ordered Pairs (IFSOP) are the recent extension of intuitionistic fuzzy sets by incorporating functional and dysfunctional points of view into the definition of membership functions. This paper extends the Technique of Order Preference Similarity to the Ideal Solution (TOPSIS) method to the Intuitionistic Fuzzy TOPSIS (IF TOPSIS) with ordered pairs method and applies it to a multi-criteria risk-based supplier selection problem under fuzziness. IF TOPSIS with ordered pairs involves finding a positive ideal solution and a negative ideal solution, and measuring the distance between each alternative and these solutions. The final ranking of the alternatives is obtained based on the proportion of distances between the positive and negative ideal solutions. By asking functional and dysfunctional questions in this ranking process, the developed IF TOPSIS with ordered pairs method incorporates the accuracy and consistency of expert judgments, enhancing the decision-making process. A sensitivity analysis is also presented in order to show the robustness of the rankings obtained by IF TOPSIS with ordered pairs.https://www.mdpi.com/2227-7390/11/18/3867intuitionistic fuzzy setsordered pairsTOPSISrisk analysissupplier selection problem |
| spellingShingle | Cengiz Kahraman Selcuk Cebi Basar Oztaysi Sezi Cevik Onar Intuitionistic Fuzzy Sets with Ordered Pairs and Their Usage in Multi-Attribute Decision Making: A Novel Intuitionistic Fuzzy TOPSIS Method with Ordered Pairs Mathematics intuitionistic fuzzy sets ordered pairs TOPSIS risk analysis supplier selection problem |
| title | Intuitionistic Fuzzy Sets with Ordered Pairs and Their Usage in Multi-Attribute Decision Making: A Novel Intuitionistic Fuzzy TOPSIS Method with Ordered Pairs |
| title_full | Intuitionistic Fuzzy Sets with Ordered Pairs and Their Usage in Multi-Attribute Decision Making: A Novel Intuitionistic Fuzzy TOPSIS Method with Ordered Pairs |
| title_fullStr | Intuitionistic Fuzzy Sets with Ordered Pairs and Their Usage in Multi-Attribute Decision Making: A Novel Intuitionistic Fuzzy TOPSIS Method with Ordered Pairs |
| title_full_unstemmed | Intuitionistic Fuzzy Sets with Ordered Pairs and Their Usage in Multi-Attribute Decision Making: A Novel Intuitionistic Fuzzy TOPSIS Method with Ordered Pairs |
| title_short | Intuitionistic Fuzzy Sets with Ordered Pairs and Their Usage in Multi-Attribute Decision Making: A Novel Intuitionistic Fuzzy TOPSIS Method with Ordered Pairs |
| title_sort | intuitionistic fuzzy sets with ordered pairs and their usage in multi attribute decision making a novel intuitionistic fuzzy topsis method with ordered pairs |
| topic | intuitionistic fuzzy sets ordered pairs TOPSIS risk analysis supplier selection problem |
| url | https://www.mdpi.com/2227-7390/11/18/3867 |
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