Three-way decisions based on type-2 fuzzy sets and interval-valued type-2 fuzzy sets

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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
Year: 
2016
Volume: 
Issue: 
Page Start: 
1385
Page End: 
1395