A Novel Similarity Measure Based on Accuracy Score of Conventional Type of Trapezoidal-Valued Intuitionistic Fuzzy Sets and Its Applications in Multi-criteria Decision-Making Problems
Abstract The article aims to investigate the distance measure between any two conventional type trapezoidal-valued intuitionistic fuzzy sets (CTrVIFSs) whose membership and non-membership grades of an element are expressed as conventional trapezoidal intuitionistic fuzzy numbers (CTrIFN). Using the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer
2023-06-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s44196-023-00274-x |
| _version_ | 1797795534828732416 |
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| author | V. Lakshmana Gomathi Nayagam K. Suriyapriya M. Jagadeeswari |
| author_facet | V. Lakshmana Gomathi Nayagam K. Suriyapriya M. Jagadeeswari |
| author_sort | V. Lakshmana Gomathi Nayagam |
| collection | DOAJ |
| description | Abstract The article aims to investigate the distance measure between any two conventional type trapezoidal-valued intuitionistic fuzzy sets (CTrVIFSs) whose membership and non-membership grades of an element are expressed as conventional trapezoidal intuitionistic fuzzy numbers (CTrIFN). Using the proposed distance measure, the similarity measure of CTrVIFSs is determined and its efficiency is shown by applying it to pattern recognition problems and MCDM problems. The similarity measure propounded in this article can be used to tackle real-world problems involving CTrVIFS as parameters, such as clustering, machine learning, and DNA matching. The application section discusses that this research can help decision-makers to recognize patterns and categorize samples with those patterns. Furthermore, the model of a real-world problem is given which utilizes the suggested similarity measure to solve MCDM problems, demonstrate the usability of the new technique and comprehend its applied intelligence above other methods. Finally, a general conclusion and future scope on this topic are discussed. |
| first_indexed | 2024-03-13T03:19:26Z |
| format | Article |
| id | doaj.art-b58663bd0d8e470fb6e7c84423944e16 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-03-13T03:19:26Z |
| publishDate | 2023-06-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-b58663bd0d8e470fb6e7c84423944e162023-06-25T11:27:15ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832023-06-0116112210.1007/s44196-023-00274-xA Novel Similarity Measure Based on Accuracy Score of Conventional Type of Trapezoidal-Valued Intuitionistic Fuzzy Sets and Its Applications in Multi-criteria Decision-Making ProblemsV. Lakshmana Gomathi Nayagam0K. Suriyapriya1M. Jagadeeswari2Department of Mathematics, National Institute of TechnologyDepartment of Mathematics, National Institute of TechnologyDepartment of Mathematics, Vellore Institute of TechnologyAbstract The article aims to investigate the distance measure between any two conventional type trapezoidal-valued intuitionistic fuzzy sets (CTrVIFSs) whose membership and non-membership grades of an element are expressed as conventional trapezoidal intuitionistic fuzzy numbers (CTrIFN). Using the proposed distance measure, the similarity measure of CTrVIFSs is determined and its efficiency is shown by applying it to pattern recognition problems and MCDM problems. The similarity measure propounded in this article can be used to tackle real-world problems involving CTrVIFS as parameters, such as clustering, machine learning, and DNA matching. The application section discusses that this research can help decision-makers to recognize patterns and categorize samples with those patterns. Furthermore, the model of a real-world problem is given which utilizes the suggested similarity measure to solve MCDM problems, demonstrate the usability of the new technique and comprehend its applied intelligence above other methods. Finally, a general conclusion and future scope on this topic are discussed.https://doi.org/10.1007/s44196-023-00274-xInterval-valued intuitionistic fuzzy setsTrapezoidal-valued Intuitionistic fuzzy setsDistance-based similarity measureCTrVIF TOPSIS methodPattern RecognitionMCDM problems |
| spellingShingle | V. Lakshmana Gomathi Nayagam K. Suriyapriya M. Jagadeeswari A Novel Similarity Measure Based on Accuracy Score of Conventional Type of Trapezoidal-Valued Intuitionistic Fuzzy Sets and Its Applications in Multi-criteria Decision-Making Problems International Journal of Computational Intelligence Systems Interval-valued intuitionistic fuzzy sets Trapezoidal-valued Intuitionistic fuzzy sets Distance-based similarity measure CTrVIF TOPSIS method Pattern Recognition MCDM problems |
| title | A Novel Similarity Measure Based on Accuracy Score of Conventional Type of Trapezoidal-Valued Intuitionistic Fuzzy Sets and Its Applications in Multi-criteria Decision-Making Problems |
| title_full | A Novel Similarity Measure Based on Accuracy Score of Conventional Type of Trapezoidal-Valued Intuitionistic Fuzzy Sets and Its Applications in Multi-criteria Decision-Making Problems |
| title_fullStr | A Novel Similarity Measure Based on Accuracy Score of Conventional Type of Trapezoidal-Valued Intuitionistic Fuzzy Sets and Its Applications in Multi-criteria Decision-Making Problems |
| title_full_unstemmed | A Novel Similarity Measure Based on Accuracy Score of Conventional Type of Trapezoidal-Valued Intuitionistic Fuzzy Sets and Its Applications in Multi-criteria Decision-Making Problems |
| title_short | A Novel Similarity Measure Based on Accuracy Score of Conventional Type of Trapezoidal-Valued Intuitionistic Fuzzy Sets and Its Applications in Multi-criteria Decision-Making Problems |
| title_sort | novel similarity measure based on accuracy score of conventional type of trapezoidal valued intuitionistic fuzzy sets and its applications in multi criteria decision making problems |
| topic | Interval-valued intuitionistic fuzzy sets Trapezoidal-valued Intuitionistic fuzzy sets Distance-based similarity measure CTrVIF TOPSIS method Pattern Recognition MCDM problems |
| url | https://doi.org/10.1007/s44196-023-00274-x |
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