Arc entropy of uncertain sets and its applications

Article type: Research Article

Authors: Tan, Guimei^a | Yu, Xichang^{b; *}

Affiliations: [a] Library, Liaocheng University, Liaocheng, China | [b] Liaocheng Vocational and Technical College, Liaocheng, China

Correspondence: [*] Corresponding author. Xichang Yu, Liaocheng Vocational and Technical College, Liaocheng, 252000, China. E-mail: [email protected].

Abstract: As an important tool to measure the degree of difficulty of predicting the realization of an uncertain set, entropy theory of uncertain set has been investigated by many scholars. In order to measure the uncertainty associated with some uncertain sets, this paper first proposes the arc entropy for an uncertain set. Then a computational arc entropy formula via inverse membership function is introduced to calculate the arc entropy more quickly, and some properties of arc entropy are studied. Furthermore, some applications are also provided to illustrate the superiority of the arc entropy.

Keywords: Uncertainty theory, uncertain set, arc entropy, portfolio selection

DOI: 10.3233/JIFS-220564

Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 5, pp. 6561-6574, 2022