A new sine similarity measure based on evidence theory for conflict management

Evidence theory (ET) has gained significant attention in various fields due to its advantages over probability theory. However, highly conflicting evidence can sometimes yield counterintuitive results when using Dempster’s rule. This article aims to address this issue by introducing a new sine similarity measure that integrates the belief and plausibility functions in ET. The proposed sine similarity measure offers a comprehensive evaluation of the conflict between evidences. Importantly, the proposed measure satisfies several desirable properties, ensuring its effectiveness in capturing the similarity between evidences. Furthermore, a conflict management method is designed based on the proposed sine similarity measure and belief entropy. The validity of the proposed method is verified by some numerical examples and an application to target recognition.

Authors

Institutions

Publication Details

Journal
Communication in Statistics- Theory and Methods
Published
2024-08-22
DOI
https://doi.org/10.1080/03610926.2024.2391415
Citations
14
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
6.87
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A new sine similarity measure based on evidence theory for conflict management

Zhe Liu
14 citations
Communication in Statistics- Theory and Methods
Multi-Criteria Decision Making
6.87
article

A new sine similarity measure based on evidence theory for conflict management

Zhe Liu
article en
14 citations

Abstract

Evidence theory (ET) has gained significant attention in various fields due to its advantages over probability theory. However, highly conflicting evidence can sometimes yield counterintuitive results when using Dempster’s rule. This article aims to address this issue by introducing a new sine similarity measure that integrates the belief and plausibility functions in ET. The proposed sine similarity measure offers a comprehensive evaluation of the conflict between evidences. Importantly, the proposed measure satisfies several desirable properties, ensuring its effectiveness in capturing the similarity between evidences. Furthermore, a conflict management method is designed based on the proposed sine similarity measure and belief entropy. The validity of the proposed method is verified by some numerical examples and an application to target recognition.

Communication in Statistics- Theory and MethodsVol. 54(11)
Universiti Sains Malaysia (MY), Xinyu University (CN)
Peace, Justice and strong institutions
Openalex Percentile: Top 3%
Multi-Criteria Decision Making
6.87
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.