Article ID Journal Published Year Pages File Type
390683 Fuzzy Sets and Systems 2010 15 Pages PDF
Abstract

This paper addresses some questions about the variety generated by the algebra of truth values of type-2 fuzzy sets. Its principal result is that this variety is generated by a finite algebra, and in particular is locally finite. This provides an algorithm for determining when an equation holds in this variety. It also sheds light on the question of determining an equational axiomatization of this variety, although this problem remains open.

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Physical Sciences and Engineering Computer Science Artificial Intelligence