A New Sign Distance-Based Ranking Method for Fuzzy Numbers
In this paper, a new sign distance-based ranking method for fuzzy numbers is proposed. It is a synthesis of geometric centroid and sign distance. The use of centroid and sign distance in fuzzy ranking is not new. Most existing methods (e.g., distance-based method [9]) adopt the Euclidean distance fr...
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| Format: | Article |
| Language: | English |
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Springer International Publishing Switzerland
2015
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| Online Access: | http://ir.unimas.my/id/eprint/8145/ http://ir.unimas.my/id/eprint/8145/1/A%20new%20sign%20distance-based%20ranking%20method%20for%20fuzzy%20numbers.pdf |
| _version_ | 1848836311421550592 |
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| author | Tay, K.M Kok, Chin Chai Chee, Peng Lim |
| author_facet | Tay, K.M Kok, Chin Chai Chee, Peng Lim |
| author_sort | Tay, K.M |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| description | In this paper, a new sign distance-based ranking method for fuzzy numbers is proposed. It is a synthesis of geometric centroid and sign distance. The use of centroid and sign distance in fuzzy ranking is not new. Most existing methods (e.g., distance-based method [9]) adopt the Euclidean distance from the origin to the centroid of a fuzzy number. In this paper, a fuzzy number is treated as a polygon, in which a new geometric centroid for the fuzzy number is proposed. Since a fuzzy number can be represented in different shapes with different spreads, a new dispersion coefficient pertaining to a fuzzy number is formulated. The dispersion coefficient is used to fine-tune the geometric centroid, and subsequently sign distance from the origin to the tuned geometric centroid is considered. As discussed in [5-9], an ideal fuzzy ranking method needs to satisfy seven reasonable fuzzy ordering properties. As a result, the capability of the proposed method in fulfilling these properties is analyzed and discussed. Positive experimental results are obtained. |
| first_indexed | 2025-11-15T06:21:45Z |
| format | Article |
| id | unimas-8145 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T06:21:45Z |
| publishDate | 2015 |
| publisher | Springer International Publishing Switzerland |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-81452015-07-02T05:44:28Z http://ir.unimas.my/id/eprint/8145/ A New Sign Distance-Based Ranking Method for Fuzzy Numbers Tay, K.M Kok, Chin Chai Chee, Peng Lim Q Science (General) In this paper, a new sign distance-based ranking method for fuzzy numbers is proposed. It is a synthesis of geometric centroid and sign distance. The use of centroid and sign distance in fuzzy ranking is not new. Most existing methods (e.g., distance-based method [9]) adopt the Euclidean distance from the origin to the centroid of a fuzzy number. In this paper, a fuzzy number is treated as a polygon, in which a new geometric centroid for the fuzzy number is proposed. Since a fuzzy number can be represented in different shapes with different spreads, a new dispersion coefficient pertaining to a fuzzy number is formulated. The dispersion coefficient is used to fine-tune the geometric centroid, and subsequently sign distance from the origin to the tuned geometric centroid is considered. As discussed in [5-9], an ideal fuzzy ranking method needs to satisfy seven reasonable fuzzy ordering properties. As a result, the capability of the proposed method in fulfilling these properties is analyzed and discussed. Positive experimental results are obtained. Springer International Publishing Switzerland 2015 Article PeerReviewed text en http://ir.unimas.my/id/eprint/8145/1/A%20new%20sign%20distance-based%20ranking%20method%20for%20fuzzy%20numbers.pdf Tay, K.M and Kok, Chin Chai and Chee, Peng Lim (2015) A New Sign Distance-Based Ranking Method for Fuzzy Numbers. Proceedings of the 18th Asia Pacific Symposium on Intelligent and Evolutionary Systems-Volume 2, 2. pp. 55-64. ISSN 2363-6084 http://link.springer.com/chapter/10.1007%2F978-3-319-13356-0_5 DOI: 10.1007/978-3-319-13356-0_5 |
| spellingShingle | Q Science (General) Tay, K.M Kok, Chin Chai Chee, Peng Lim A New Sign Distance-Based Ranking Method for Fuzzy Numbers |
| title | A New Sign Distance-Based Ranking Method for Fuzzy Numbers |
| title_full | A New Sign Distance-Based Ranking Method for Fuzzy Numbers |
| title_fullStr | A New Sign Distance-Based Ranking Method for Fuzzy Numbers |
| title_full_unstemmed | A New Sign Distance-Based Ranking Method for Fuzzy Numbers |
| title_short | A New Sign Distance-Based Ranking Method for Fuzzy Numbers |
| title_sort | new sign distance-based ranking method for fuzzy numbers |
| topic | Q Science (General) |
| url | http://ir.unimas.my/id/eprint/8145/ http://ir.unimas.my/id/eprint/8145/ http://ir.unimas.my/id/eprint/8145/ http://ir.unimas.my/id/eprint/8145/1/A%20new%20sign%20distance-based%20ranking%20method%20for%20fuzzy%20numbers.pdf |