Some properties of entropy of vague soft sets and its applications

Article type: Research Article

Authors: Wang, Chang^*

Affiliations: School of Mathematics, Northwest University, Xi’an, Shaanxi, China

Correspondence: [*] Corresponding author. Chang Wang, School of Mathematics, Northwest University, Xi’an, Shaanxi 710127, China. Tel.: +86 29 88308430; Fax: +86 29 88308439; [email protected]

Abstract: A vague soft set is a combination of a vague set and a soft set. In this paper, we first discuss the properties of the entropy on vague soft sets. We also propose the cross-entropy of vague soft sets, and investigate the relationship between entropy and cross-entropy. Furthermore, some numerical examples are presented to illustrate the applications of the entropy and cross-entropy of vague soft sets to decision making and pattern recognition.

Keywords: Vague set, soft set, vague soft set, entropy, cross-entropy

DOI: 10.3233/IFS-151608

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 4, pp. 1443-1452, 2015