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Article type: Research Article
Authors: Xiao, Yuan Chuna | Hu, Bao Qinga; * | Zhao, Xue Rongb
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: bqhu@whu.edu.cn.
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.
Keywords: Three-way decisions, partially ordered sets, type-2 fuzzy sets, interval-valued type-2 fuzzy sets
DOI: 10.3233/IFS-162204
Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1385-1395, 2016
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