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Fuzzy sets and Boolean-valued universes
Authors:August J Weidner
Institution:Schuylkill Campus, Pennsylvania State University, Schuylkill Haven, PA 17972, U.S.A.
Abstract:A connection between fuzzy sets and Boolean-valued universes is made by developing a formal axiomatic system for fuzzy sets among whose models are suitably interpreted Boolean-valued universes. The formal system is an independent first-order axiomatization of fuzzy set theory which parallels the Zermelo-Fraenkel development of classical set theory.
Keywords:Formal system  Axioms  Boolean-valued universes
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