Global intuitionistic fuzzy weighted C-ordered means clustering algorithm
The paper proposes a novel approach to address the challenges of clustering datasets and identifying outliers by utilizing the Atanassov intuitionistic fuzzy sets (AIFS) environment. The approach provides a more flexible and nuanced solution by incorporating a new function called the typicality func...
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| Vydáno v: | Information sciences Ročník 642; s. 119087 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Inc
01.09.2023
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| ISSN: | 0020-0255, 1872-6291 |
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| Abstract | The paper proposes a novel approach to address the challenges of clustering datasets and identifying outliers by utilizing the Atanassov intuitionistic fuzzy sets (AIFS) environment. The approach provides a more flexible and nuanced solution by incorporating a new function called the typicality function for outlier detection and tuning the parameters used in defining it to improve clustering. To optimize the parameter tuning process and reduce time complexity, the paper introduces a global error search approach (k-GESA) within a finite space. The paper also presents a new clustering algorithm, called Global Intuitionistic Fuzzy Weighted C-Ordered Means (Global-IFWCOM), which utilizes k-GESA to improve the clustering results. The proposed approach is evaluated against various C-ordered means algorithms, including Fuzzy C-ordered means (FCOM), Intuitionistic fuzzy C-ordered means (IFCOM), Intuitionistic fuzzy weighted C-ordered means (IFWCOM), Fuzzy weighted C-ordered means (FWCOM), and Hesitant-FWCOM, on a two-dimensional synthetic dataset with outliers. Furthermore, the effectiveness of Global-IFWCOM is demonstrated using a six-dimensional synthetic dataset with noise and outliers compared to FWCOM.
•Global error search approach (k-GESA) is proposed.•Developed a novel Weighted C-means clustering algorithm.•Performance evaluation with state-of-the art is done.•Two and six dimensional synthetic datasets are taken to demonstrate. |
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| AbstractList | The paper proposes a novel approach to address the challenges of clustering datasets and identifying outliers by utilizing the Atanassov intuitionistic fuzzy sets (AIFS) environment. The approach provides a more flexible and nuanced solution by incorporating a new function called the typicality function for outlier detection and tuning the parameters used in defining it to improve clustering. To optimize the parameter tuning process and reduce time complexity, the paper introduces a global error search approach (k-GESA) within a finite space. The paper also presents a new clustering algorithm, called Global Intuitionistic Fuzzy Weighted C-Ordered Means (Global-IFWCOM), which utilizes k-GESA to improve the clustering results. The proposed approach is evaluated against various C-ordered means algorithms, including Fuzzy C-ordered means (FCOM), Intuitionistic fuzzy C-ordered means (IFCOM), Intuitionistic fuzzy weighted C-ordered means (IFWCOM), Fuzzy weighted C-ordered means (FWCOM), and Hesitant-FWCOM, on a two-dimensional synthetic dataset with outliers. Furthermore, the effectiveness of Global-IFWCOM is demonstrated using a six-dimensional synthetic dataset with noise and outliers compared to FWCOM.
•Global error search approach (k-GESA) is proposed.•Developed a novel Weighted C-means clustering algorithm.•Performance evaluation with state-of-the art is done.•Two and six dimensional synthetic datasets are taken to demonstrate. |
| ArticleNumber | 119087 |
| Author | Lohani, Q.M. Danish Kaushal, Meenakshi Garg, Harish |
| Author_xml | – sequence: 1 givenname: Meenakshi orcidid: 0000-0001-6303-9779 surname: Kaushal fullname: Kaushal, Meenakshi organization: Department of Mathematics, South Asian University, Chanakyapuri 10021, New Delhi, India – sequence: 2 givenname: Harish orcidid: 0000-0001-9099-8422 surname: Garg fullname: Garg, Harish email: harishg58iitr@gmail.com organization: School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala 147004, Punjab, India – sequence: 3 givenname: Q.M. Danish surname: Lohani fullname: Lohani, Q.M. Danish organization: Department of Mathematics, South Asian University, Chanakyapuri 10021, New Delhi, India |
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| Keywords | Atanassov intuitionistic fuzzy set Outlier detection Fuzzy clustering |
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