A distance measure of interval-valued belief structures
Interval-valued belief structures are generalized from belief function theory, in terms of basic belief assignments from crisp to interval numbers. The distance measure has long been an essential tool in belief function theory, such as conflict evidence combinations, clustering analysis, belief func...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2019
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| Online Access: | http://journalarticle.ukm.my/14468/1/20%20Junqin%20Cao.pdf |
| _version_ | 1796932076626247680 |
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| author | Cao, Junqin Zhang, Xueying Feng, Jiapeng |
| author_facet | Cao, Junqin Zhang, Xueying Feng, Jiapeng |
| author_sort | Cao, Junqin |
| collection | UKM |
| description | Interval-valued belief structures are generalized from belief function theory, in terms of basic belief assignments from crisp to interval numbers. The distance measure has long been an essential tool in belief function theory, such as conflict evidence combinations, clustering analysis, belief function and approximation. Researchers have paid much attention and proposed many kinds of distance measures. However, few works have addressed distance measures of interval-valued belief structures up. In this paper, we propose a method to measure the distance of interval belief functions. The method is based on an interval-valued one-dimensional Hausdorff distance and Jaccard similarity coefficient. We show and prove its properties of non-negativity, non-degeneracy, symmetry and triangle inequality. Numerical examples illustrate the validity of the proposed distance. |
| first_indexed | 2024-03-06T04:27:28Z |
| format | Article |
| id | ukm.eprints-14468 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:27:28Z |
| publishDate | 2019 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-144682020-04-21T02:16:50Z http://journalarticle.ukm.my/14468/ A distance measure of interval-valued belief structures Cao, Junqin Zhang, Xueying Feng, Jiapeng Interval-valued belief structures are generalized from belief function theory, in terms of basic belief assignments from crisp to interval numbers. The distance measure has long been an essential tool in belief function theory, such as conflict evidence combinations, clustering analysis, belief function and approximation. Researchers have paid much attention and proposed many kinds of distance measures. However, few works have addressed distance measures of interval-valued belief structures up. In this paper, we propose a method to measure the distance of interval belief functions. The method is based on an interval-valued one-dimensional Hausdorff distance and Jaccard similarity coefficient. We show and prove its properties of non-negativity, non-degeneracy, symmetry and triangle inequality. Numerical examples illustrate the validity of the proposed distance. Penerbit Universiti Kebangsaan Malaysia 2019-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/14468/1/20%20Junqin%20Cao.pdf Cao, Junqin and Zhang, Xueying and Feng, Jiapeng (2019) A distance measure of interval-valued belief structures. Sains Malaysiana, 48 (12). pp. 2787-2796. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil12_2019/KandunganJilid48Bil12_2019.html |
| spellingShingle | Cao, Junqin Zhang, Xueying Feng, Jiapeng A distance measure of interval-valued belief structures |
| title | A distance measure of interval-valued belief structures |
| title_full | A distance measure of interval-valued belief structures |
| title_fullStr | A distance measure of interval-valued belief structures |
| title_full_unstemmed | A distance measure of interval-valued belief structures |
| title_short | A distance measure of interval-valued belief structures |
| title_sort | distance measure of interval valued belief structures |
| url | http://journalarticle.ukm.my/14468/1/20%20Junqin%20Cao.pdf |
| work_keys_str_mv | AT caojunqin adistancemeasureofintervalvaluedbeliefstructures AT zhangxueying adistancemeasureofintervalvaluedbeliefstructures AT fengjiapeng adistancemeasureofintervalvaluedbeliefstructures AT caojunqin distancemeasureofintervalvaluedbeliefstructures AT zhangxueying distancemeasureofintervalvaluedbeliefstructures AT fengjiapeng distancemeasureofintervalvaluedbeliefstructures |