Revisiting Ultraproducts in Fuzzy Predicate Logics

Abstract

In this paper we examine different possibilities of defining reduced products and ultraproducts in fuzzy predicate logics. We present analogues to the $\L$os Theorem for these notions and discuss the advantages and drawbacks of each definition introduced. Following the work in \cite{De09}, we show that these constructions are adequate for working in a reduced semantics