Determining Basic Probability Assignment Based on the Improved Similarity Measures of Generalized Fuzzy Numbers

被引：84

作者：

Jiang, W. ^{[1
]}

Yang, Y. ^{[1
]}

Luo, Y. ^{[1
]}

Qin, X. Y. ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Sch Elect & Informat, Xian 710072, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL | 2015年 / 10卷 / 03期

基金：

中国国家自然科学基金;

关键词：

data fusion; dempster-Shafer evidence theory; basic probability assignment (BPA); generalized fuzzy numbers; similarity measures; RISK ANALYSIS; IMAGE SEGMENTATION; ENVIRONMENT;

D O I：

10.15837/ijccc.2015.3.1656

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Dempster-Shafer theory of evidence has been widely used in many data fusion application systems. However, how to determine basic probability assignment, which is the main and the first step in evidence theory, is still an open issue. In this paper, an improved method to determine the similarity measure between generalized fuzzy numbers is presented. The proposed method can overcome the drawbacks of the existing similarity measures. Then, we propose a new method for obtaining basic probability assignment (BPA) based on the proposed similarity measure method between generalized fuzzy numbers. Finally, the efficiency of the proposed method is illustrated by the classification of Iris data.

引用

页码：333 / 347

页数：15

共 21 条

[1] Multisensor image segmentation using Dempster-Shafer fusion in Markov fields context [J].

Bendjebbour, A ;

Delignon, Y ;

Fouque, L ;

Samson, V ;

Pieczynski, W .

IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2001, 39 (08) :1789-1798

[2] Prediction of pulsed GTAW penetration status based on BP neural network and D-S evidence theory information fusion [J].

Chen, Bo ;

Wang, Jifeng ;

Chen, Shanben .

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2010, 48 (1-4) :83-94

[3] Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers [J].

Chen, SJ ;

Chen, SM .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2003, 11 (01) :45-56

[4] New methods for subjective mental workload assessment and fuzzy risk analysis [J].

Chen, SM .

CYBERNETICS AND SYSTEMS, 1996, 27 (05) :449-472

[5] UPPER AND LOWER PROBABILITIES INDUCED BY A MULTIVALUED MAPPING [J].

DEMPSTER, AP .

ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (02) :325-&

[6] Risk analysis in a linguistic environment: A fuzzy evidential reasoning-based approach [J].

Deng, Yong ;

Sadiq, Rehan ;

Jiang, Wen ;

Tesfamariam, Solomon .

EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (12) :15438-15446

[7] Modeling contaminant intrusion in water distribution networks: A new similarity-based DST method [J].

Deng, Yong ;

Jiang, Wen ;

Sadiq, Rehan .

EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (01) :571-578

[8]

Deng Yong, 2009, J ELECT CHINA, V26, P13

[9] The use of multiple measurements in taxonomic problems [J].

Fisher, RA .

ANNALS OF EUGENICS, 1936, 7 :179-188

[10] Study on algorithms of determining basic probability assignment function in Dempster-Shafer evidence theory [J].

Guan, Xin ;

Yi, Xiao ;

He, You .

PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2008, :121-126

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