Cover Image

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Cao, Junqin, Zhang, Xueying, Feng, Jiapeng
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/14468/1/20%20Junqin%20Cao.pdf
http://journalarticle.ukm.my/14468/
http://www.ukm.my/jsm/malay_journals/jilid48bil12_2019/KandunganJilid48Bil12_2019.html
Tags: Add Tag
No Tags, Be the first to tag this record!
id my-ukm.journal.14468
record_format eprints
spelling my-ukm.journal.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
institution Universiti Kebangsaan Malaysia
building Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
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.
format Article
author Cao, Junqin
Zhang, Xueying
Feng, Jiapeng
spellingShingle Cao, Junqin
Zhang, Xueying
Feng, Jiapeng
A distance measure of interval-valued belief structures
author_facet Cao, Junqin
Zhang, Xueying
Feng, Jiapeng
author_sort Cao, Junqin
title A distance measure of interval-valued belief structures
title_short 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_sort distance measure of interval-valued belief structures
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2019
url http://journalarticle.ukm.my/14468/1/20%20Junqin%20Cao.pdf
http://journalarticle.ukm.my/14468/
http://www.ukm.my/jsm/malay_journals/jilid48bil12_2019/KandunganJilid48Bil12_2019.html
_version_ 1665895636929609728
score 13.211869

Similar Items