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The Pseudo-Pascal Triangle of Maximum Deng Entropy

dc.contributor.authorGao, X.
dc.contributor.authorDeng, Y.
dc.identifier.citationGAO, Xiaozhuan; DENG, Yong. The Pseudo-Pascal Triangle of Maximum Deng Entropy. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 15, n. 1, feb. 2020. ISSN 1841-9844. Available at: <>. Date accessed: 04 nov. 2020. doi:
dc.description.abstractPascal triangle (known as Yang Hui Triangle in Chinese) is an important model in mathematics while the entropy has been heavily studied in physics or as uncertainty measure in information science. How to construct the the connection between Pascal triangle and uncertainty measure is an interesting topic. One of the most used entropy, Tasllis entropy, has been modelled with Pascal triangle. But the relationship of the other entropy functions with Pascal triangle is still an open issue. Dempster-Shafer evidence theory takes the advantage to deal with uncertainty than probability theory since the probability distribution is generalized as basic probability assignment, which is more efficient to model and handle uncertain information. Given a basic probability assignment, its corresponding uncertainty measure can be determined by Deng entropy, which is the generalization of Shannon entropy. In this paper, a Pseudo-Pascal triangle based the maximum Deng entropy is constructed. Similar to the Pascal triangle modelling of Tasllis entropy, this work provides the a possible way of Deng entropy in physics and information theory.en_US
dc.description.sponsorshipThe work is partially supported by National Natural Science Foundation of China (Grant Nos. 61973332).en_US
dc.publisherInternational Journal of Computers Communications & Controlen_US
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. ONLINE OPEN ACCES: Acces to full text of each article and each issue are allowed for free in respect of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0.
dc.subjectDeng entropyen_US
dc.subjectMaximum Deng Entropyen_US
dc.subjectPascal triangleen_US
dc.subjectDempster-Shafer evidence theoryen_US
dc.subjectbasic probability assignmenten_US
dc.titleThe Pseudo-Pascal Triangle of Maximum Deng Entropyen_US

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