Partial entropy of uncertain random variables

Article type: Research Article

Authors: Ahmadzade, Hamed^a | Gao, Rong^{b; *} | Dehghan, Mohammad Hossein^a | Sheng, Yuhong^c

Affiliations: [a] Department of Mathematical Sciences, University of Sistan and Baluchestan, Zahedan, Iran | [b] Department of Mathematical Sciences, Tsinghua University, Beijing, China | [c] College of Mathematical and System Sciences, Xinjiang University, Urumqi, China

Correspondence: [*] Corresponding author. Rong Gao, Department of Mathematical Science, Tsinghua University, Beijing 100190, China. Tel.: +86 13041229049; E-mail: gaor14@mails.tsinghua.edu.cn.

Abstract: In this paper, we mainly propose a definition of partial entropy for uncertain random variables. In fact, partial entropy is a tool to characterize how much of entropy of an uncertain random variable belongs to the uncertain variable. Furthermore, some properties of partial quadratic entropy are investigated such as positive linearity. Finally, some other types of partial entropies are studied.

Keywords: Chance theory, uncertain random variable, entropy, partial entropy

DOI: 10.3233/JIFS-161161

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 1, pp. 105-112, 2017