Affiliations: [a]
School of Mathematics and Statistics, Wuhan University, Wuhan, P.R. China | [b]
School of Mathematics and Statistics, South-central University for Nationalities, Wuhan, P.R. China
Correspondence:
[*]
Corresponding author. Bao Qing Hu, School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P.R. China. Tel.: +86 27 68775350; Fax: +86 27 68752256; E-mail: [email protected].
Abstract: This paper investigates three-way decisions of type-2 fuzzy sets and interval-valued type-2 fuzzy sets based on partially ordered sets. First, the partially ordered sets, constituted by fuzzy truth values and interval-valued fuzzy truth values, are established, respectively. They serve as the basic structures of three-way decision spaces. Second, several kinds of decision evaluation functions for type-2 fuzzy sets are defined. Three-way decision spaces and three-way decisions corresponding to each DEF are provided. In the end, a similar discussion is presented for interval-valued type-2 fuzzy sets. Examples are attached to each section to illustrate our models.
